The silence of the wolves

The tenth anniversary of the second Iraq War being upon us, there is naturally lots of commentary and coal-raking. Some of this involves re-writing of history.  For example, many of those who participated in the February 2003 demonstrations against the war seem to have forgotten that, in Britain, they were not able to convince a majority of MPs to vote against the House of Commons resolution supporting invasion, as Norm rightly notes.  However,  many then on the other side too seem to have forgotten something:  that the leaders of the West – President Bush, Vice-President Cheney, Defense Secretary Rumsfeld, Prime Ministers Blair and Howard – had to be dragged by the public, kicking and screaming and much against their will, to explain their decision to invade Iraq to their own citizens.
World-wide demonstrations against the war took place on Saturday 15 February 2003.    Only on that day itself did Tony Blair, in a speech in Glasgow, first present in public his arguments in favour of military action.   Only on 25 February 2003 – ten days after those massive street protests – did Tony Blair finally agree to a House of Commons debate on the issue.  Donald Rumsfeld was not able or not willing to provide a convincing justification to even the Foreign Minister of Germany, Joschka Fischer (“You have to make the case!”, Fischer said to Rumsfeld, in English, in the midst of  a speech in German, in public, at a security conference in Munich, 9 February 2003, video here.)  And most notoriously of all, the Australian Senate, for the first and only time in its (then) 102-year history passed on 5 February 2003 a censure motion against the Government and a vote  of no confidence in the Prime Minister John Howard, for their failure to provide any case at all for the Government’s support of the invasion.
Yet we now know that the decision by the Bush administration to invade Iraq had most probably been made by August 2002, and the question of invasion had been the focus of intense and loud public argument in every house and pub and office in the western world for at least three months.  The silence of our leaders was so noticeable that, at the time, I speculated whether there were other good reasons for that silence, beside cowardice or malfeasance (blog post of 2003-02-14).  We still don’t know for certain why no decision-maker would make their case public, but I suspect now it was because the case was built on decision-making about potential events with small probabilities but with catastrophic consequences:  IF Saddam Hussein acquired  weapons of mass destruction AND IF he used them against the West, the results would be far worse than even 9/11.    Although the probabilities of these conditions being true were judged to be very small, the consequences of them being true would be so serious that the conditions had to be precluded from happening, at all costs.  This, to me, would have been a compelling argument, had it ever been made in public.
Now our press carry stories of Tony Blair saying he had “long since given up trying to persuade people it was the right decision.”   For goodness sake, he hardly even tried!   Here is Andrew Rawnsley writing in The Observer on 14 September 2003:

Mr Blair is being punished not because he did the wrong thing, but because he went about it the wrong way. The Prime Minister didn’t trust the British people to follow the moral argument for dealing with Saddam. This mistrust in them they now reciprocate back to him.  For that, Tony Blair has only himself to blame.”

The afterlife of 19th-century mathematics

packed circles
I posted earlier some thoughts of mathematician Bill Thurston, here and here.  I have just encountered a reminiscence of Thurston and his specific contribution to mathematics by Philip Bowers of Florida State University.   What is noteworthy is Bowers’ view of Thurston’s style of doing mathematics – a reversion to the particularist and concrete style of 19th century mathematics, something very much out of place in the abstract and generalist world of 20th century mathematics.

It is 1978 and I have just begun my graduate studies in mathematics. There is some excitement in the air over ideas of Bill Thurston that purport to offer a way to resolve the Poincare conjecture by using nineteenth century mathematics – specifically, the noneuclidean geometry of Lobachevski and Bolyai – to classify all 3-manifolds.  These ideas finally appear in a set of notes from Princeton a couple of years later, and the notes are both fascinating and infuriating – theorems are left unstated and often unproved, chapters are missing never to be seen, the particular dominates – but the notes are bulging with beautiful and exciting ideas, often with but sketches of intricate arguments to support the landscape that Thurston sees as he surveys the topology of 3-manifolds.  Thurston’s vision is a throwback to the previous century, having much in common with the highly geometric, highly particular landscape that inspired Felix Klein and Max Dehn. These geometers walked around and within Riemann surfaces, one of the hot topics of the day, knew them intimately, and understood them in their particularity, not from the rarified heights that captured the mathematical world in general, and topology in particular, in the period from the 1930’s until the 1970’s.  The influence of Thurston’s Princeton notes on the development of topology over the next 30 years would be pervasive, not only in its mathematical content, but even more so in its vision of how to do mathematics. It gave a generation of topologists permission to get their collective hands dirty with the particular and to delve deeply into the study of specific structures on specific examples.
What has geometry to do with topology? Thurston reminded us what Klein had known, that the topology of manifolds is closely related to the geometric structures they support.  Just as surfaces may be classified and categorized using the mundane geometry of triangles and lines, Thurston suggested that the in finitely richer, more intricate world of 3-manifolds could, just possibly, be classified using the natural [page-break] 3-dimensional geometries, which he classified and of which there are eight. And if he were right, the resolution of the most celebrated puzzle of topology – the Poincare Conjecture – would be but a corollary to this geometric classification.
The Thurston Geometrization Conjecture dominated the discipline of geometric topology over the next three decades. Even after its recent resolution by Hamilton and Perelman, its imprint remains embedded in the working methodology of topologists, who have geometrized not only the topology of manifolds, but the fundamental groups attached to these manifolds. Thus we have as legacy the young and very active field of geometric group theory that avers that the algebraic and combinatorial properties of groups are closely related to the geometries on which they act. This seems to be a candidate for the next organizing principle in topology.
The decade of the 1980’s was an especially exciting and fertile time for topology as the geometric influence seemed to permeate everything. In the early part of the decade, Jim Cannon, inspired by Thurston, took up a careful study of the combinatorial structure of fundamental groups of surfaces and 3-manifolds, principally cocompact Fuchsian and Kleinian groups, constructing by hand on huge pieces of paper the Cayley graphs of example after example. He has relayed to me that the graphs of the groups associated to hyperbolic manifolds began to construct themselves, in the sense that he gained an immediate understanding of the rest of the graph, after he had constructed a large enough neighborhood of the identity.  There was something automatic that took over in the construction and, after a visit with Thurston at Princeton, automatic group theory emerged as a new idea that has found currency among topologists studying fundamental groups. In this work, Cannon anticipated the thin triangle condition as the sine qua non of negative curvature, itself the principal organizing feature of Thurston’s classification scheme.  He studied negatively curved groups, rather than negatively curved manifolds, and showed that the resulting geometric structure on the Cayley graphs of such groups provides combinatorial tools that make the structure of the group amenable to computer computations. This was a marriage of group theory with both geometry and computer science, and had immediate ramifications in the topology of manifolds.” (Bowers 2009, pages 511-512).

 
References:
Philip Bowers [2009]:Introduction to circle packing: a review.   Bulletin of the American Mathematical Society (New Series), 46 (3): 511–525.
Circle packing has surprising connections to the theory of complex functions.   For introductions to the  mathematics of circle packing, see:
Kenneth Stephenson [2003]:  Circle packing:  a mathematical tale.  Notices of the American Mathematical Society, 50 (11): 1376-1388.  Available here (PDF).
Kenneth Stephenson [2005]:   Introduction to Circle Packing:  The Theory of Discrete Analytic Functions.  Cambridge, UK:  Cambridge University Press.
The image shows a surface packed with circles of varying radii.

100 years ago at the Armory

ArmoryShow-1913
It is 100 years since the Armory Show, an influential exhibition of European and American visual art that toured New York, Chicago and Boston.   Some 70,000 people attended the New York exhibition (which ran from 1913-02-15 to 1913-03-17), and almost 190,000 the Chicago event.    The viewers included former President Theodore Roosevelt, who wrote a review of the show, here.  Although not a fan of the cubists and futurists, he was surprisingly open to innovation.   An excerpt:

The recent “International Exhibition of Modern Art” in New York was really noteworthy. Messrs. Davies, Kuhn, Gregg, and their fellow members of the Association of American Painters and Sculptors have done a work of very real value in securing such an exhibition of the works of both foreign and native painters and sculptors. Primarily their purpose was to give the public a chance to see what has recently been going on abroad. No similar collection of the works of European “moderns” has ever been exhibited in this country. The exhibitors are quite right as to the need of showing to our people in this manner the art forces which of late have been at work in Europe, forces which cannot be ignored.
This does not mean that I in the least accept the view that these men take of the European extremists whose pictures are here exhibited. It is true, as the champions of these extremists say, that there can be no life without change, no development without change, and that to be afraid of what is different or unfamiliar is to be afraid of life. It is no less true, however, that change may mean death and not life, and retrogression instead of development. Probably we err in treating most of these pictures seriously. It is likely that many of them represent in the painters the astute appreciation of the powers to make folly lucrative which the late P. T. Barnum showed with his faked mermaid. There are thousands of people who will pay small sums to look at a faked mermaid; and now and then one of this kind with enough money will buy a Cubist picture, or a picture of a misshapen nude woman, repellent from every standpoint.
In some ways it is the work of the American painters and sculptors which is of most interest in this collection, and a glance at this work must convince any one of the real good that is coming out of the new movements, fantastic though many of the developments of these new movements are. There was one note entirely absent from the exhibition, and that was the note of the commonplace. There was not a touch of simpering, self-satisfied conventionality anywhere in the exhibition. Any sculptor or painter who had in him something to express and the power of expressing it found the field open to him.  He did not have to be afraid because his work was not along ordinary lines. There was no stunting or dwarfing, no requirement that a man whose gift lay in new directions should measure up or down to stereotyped and fossilized standards.”

What with TR’s imperialism and all, it is easy to forget how good a writer he was, being a published author before becoming President.   Like another Nobel-Peace-Prize-winning President.
Reference:
Theodore Roosevelt [1913]: A Layman’s Views of an Art Exhibition. Outlook, 103 (29 March 1913): 718–720. Reprinted in Roderick Nash [1970] (Editor):   The Call of the Wild (1900–1916). New York: George Braziller.

A golden age

We are currently living in a Golden Age of television drama – well-written screenplays, innovative narrative techniques, significant themes, gripping stories, mostly true-to-life representations, all superbly-acted, and realized with attention to detail and high production values.  See, for example, the following list (which has been added to, as the years unfurl):

  • 24 (USA)
  • Band of Brothers (USA)
  • Berlin Station (USA)
  • Billions (USA)
  • Bodyguard (UK)
  • Borgen (Denmark)
  • The Bridge (Denmark-Sweden)
  • Brothers and Sisters (USA)
  • The Bureau (Le Bureau des Légendes) (France)
  • Call My Agent! (France)
  • Covert Affairs (USA)
  • Damages (USA)
  • Deadwood (USA)
  • Designated Survivor (USA)
  • Deutschland 83/ 86/ 89 (Germany)
  • The Diplomat (USA) (2023)
  • Fauda (Israel)
  • Gåsmamman (Sweden)
  • Generation Kill (USA)
  • Gloria (Portugal)
  • The Good Fight (USA)
  • The Good Wife (USA)
  • Heartstopper (UK) (2022)
  • Homeland (USA)
  • The Hour (UK)
  • House of Cards (USA)
  • Intimacy (Spain)
  • Jack Irish (Australia)
  • Janet King (Australia)
  • Judge John Deed (UK)
  • The Killing (Denmark)
  • Kleo (Germany)
  • Mad Men (USA)
  • Madam Secretary (USA)
  • Merlí: Sapere Aude (Catalonia)
  • Merlin (UK)
  • Messiah (USA)
  • The Newsreader (Australia)
  • The Newsroom (USA)
  • Occupied (Norway) (2015-2020)
  • The Patients of Dr Garcia (Spain) (2023)
  • Pine Gap (Australia)
  • Prisoners of War (Hatufim) (Israel)
  • Rake (Australia)
  • The Recruit (USA) (2023)
  • Resistance (France)
  • The Restaurant (Vår tid är nu) (Sweden)
  • Scandal (USA)
  • Secret City (Australia)
  • Shadow Lines (Finland)
  • Silk (UK)
  • Skam (“Shame”) (Norway) (2015-2017)
  • Smiley (Spain)
  • The Sopranos (USA)
  • Spiral (Engrenages) (France)
  • Spooks (UK)
  • Sports Night (USA)
  • Striking Out (Ireland)
  • Studio 60 on the Sunset Strip (USA)
  • Suits (USA)
  • The Unit (USA)
  • Totems (France)
  • A Very Secret Service (France)
  • The West Wing (USA)
  • The Wire (USA)
  • Young Royals (Sweden) (2021-2023)

Like the golden age of Elizabethan and Jacobean theatre, one has to wonder:   Why here? Why now?

Irishness and Jewishness

A friend’s thoughtful meditation on the different natures of Irishness and Jewishness:

First, to be absolutely clear about this, I’m not Irish. None of my parents, grandparents, or remote ancestors are from Ireland. I’ve only ever been to Ireland once, on a work trip which involved an ecumenical service to dedicate a new halal abattoir, but that’s another story.

Four years ago I decided to learn to play music, and hit on the tin whistle as my instrument of choice. It was cheap, portable, and hard to break or ruin. One thing led to another, and I found myself at traditional Irish music classes run by an organisation called Meitheal Cheoil at the Camden Irish Centre — the only place I could find where it was possible to actually have tin whistle lessons.

Within a few weeks I was beginning to pick out some traditional songs on my whistle. We learned by ear, not by reading music. This suited my musical abilities, but presented another problem; the rest of the group all knew the songs, and I didn’t.

I hadn’t really thought about this previously. I just wanted to learn an instrument, and was really taking a free ride on the Irish part. But for Methail Cheoil, the passing on and preservation of a part of Irish culture, as a live tradition rather than as a museum piece, was an essential part of the activity.

So I bought CDs, and listened to them as often as I could. There was no point in buying innovative cross-over reworking of the traditional tunes; I needed the raw stuff, so that I could get the songs into my head. To get the simplest renditions, I had to immerse myself in Hiberno-schlock, a twilight world of albums with names like ‘Twenty Irish Songs to Warm Your Heart’ and ‘Irish Party Singalong Tunes’. You’d probably recognise the Jewish equivalent if you saw it, and probably run a mile.

Of course, I did ironically, so that was OK. And there was something rather liberating about taking a dunk in someone else’s culture, and not having to worry about whether it was really politically acceptable to enjoy maudlin nationalist sentimentality. Some of the Irish members of the class worried about it rather more.

In any case, it must have worked, because by Christmas I was playing in the beginner’s band at the Irish Centre Ceilidh. And that’s where I had my revelation; anyone could be Irish if they wanted to.

Even in the whistle class, no one had seemed to find it particularly strange that I as a non-Irish person was participating in their thing. But there it wasn’t terribly clear who was and wasn’t Irish. Some of the students were first-generation immigrants — some old people reconnecting with the traditional music they’d grown up with, and some Irish yuppies for whom it was a class that they might have taken back home — but most were second or even third generation ‘assimilated’ Irish, on a roots thing. They didn’t sound or look that different from me, a third-generation descendant of Jewish immigrants.

But the Ceilidh, which included people from the other music classes and from the broader Irish community, was a whole new experience. Irishness, at least in its North London manifestation, was clearly a much more inclusive category than I had been prepared for.  There were quite a few Black Irish people, and one or two Chinese ones.  There were a couple of others with what looked to me like Jewish faces, though they might equally have been Greek.

I don’t know how everyone in the room felt about this; but I do know that there was no outward sign that anybody had any feelings about it at all. Then and subsequently, I have never come across any handwringing about who the traditional music activities ought to be for, let alone ‘who is an Irish person?’ The activity was Irish in content, and that was enough.  Other, non-Irish people’s participation did not detract from its Irishness or threaten its existence or value.

In our community, interest by others in our culture is rarely taken at face value.  Although discussions about Jewish culture are often shot through with barely-veiled assumptions about cultural superiority, we are usually suspicious about anyone else wanting to partake.  Perhaps it’s because we are afraid that it won’t stand up to much scrutiny from anyone without a sentimental attachment to it; or maybe we are worried that they are only showing an interest so that they can insinuate themselves into our superior institutions. Why else would non-Jews be trying to sneak into our schools?

Either way, there is an all-pervasive obsession with maintaining and policing a boundary, with determining who is and isn’t entitled to come in.  Look at the selection processes associated with admission to Jewish schools, or the application forms for joining a synagogue.  No-one at Meitheal Cheoil ever asked me for my parents’ marriage certificate.

I don’t want to imply that Irish culture is inherently inclusive and anti-racist.  I’m sure that someone else could find plenty of counter-examples, together with joyous examples of Jewish inclusiveness and syncretism.  But I don’t think that the Jewish obsession with boundaries and separation, which make up an enormous proportion of our law and our lore, are merely accidental add-ons to our culture either. In biblical and talmudic Judaism, the principle of distinction and separation, and the importance of keeping things from mixing, is always imbued with a moral and theological dimension.

We are forbidden to mix meat and milk; fish and meat on the same plate; wool and linen in the same garment; and forbidden to yoke two kinds of animals to the same plough.  God does not like it when we mix things, stuff, or ourselves.  It’s worth remembering this next time you get into one of those discussions about the essential ethical core of Judaism.

Akira Nishimura: Bird Heterophony

Two weeks ago, the BBC Symphony Orchestra held a series of concerts at the Barbican and at LSO St Luke’s of new and 20th-century music from Japan.  Parts of these concerts were rebroadcast on BBC Radio 3.  A highlight was a work called Bird Heterophony by Akira Nishimura, who teaches at the Tokyo College of Music.

This music was loud, forceful and exciting, and very impressive.  It reminded me of those great early works of Iannis Xenakis, Metastaseis and Pithoprakta.    Much as I like the impressionism of Toru Takemitsu (whose November Steps was also performed), it is nice to hear modern Japanese music from a vastly different sound world.   It is a pity though about the title:  how much better the music could be appreciated if Nishimura had left the title abstract, rather than steering our mental imagery with a representational title.

The one recording seems to be unavailable, at least in the West.    Messages for the 21st Century Volume 1.   Orchestra Ensemble Kanazawa, under Hiroyuki Iwaki.   Deutsche Grammophon,  POGC-1719, 1993.

Meanwhile a clip of the performance is currently still available from the BBC Radio 3 website for the program, Hear and Now, 2 February 2013 edition.

Public speaking

While talking just now about excellent public speakers, I remembered that I had heard a superb speech last year at a University of London graduation ceremony.  In the USA, these ceremonies are often the occasion for great speeches from invited public figures.  

My experience is that this is far less often the case elsewhere in the anglophone world – the speeches tend to the routine or mundane, and outsiders are not always invited to give addresses.  Perhaps this relates to the fact the American universities, alone among those in the anglophone world, still have Departments of Speech, with serious study of argumentation, rhetoric, and oratory.  Since the switch from oral to written mathematics examinations at Cambridge in the 18th century our universities mostly no longer train or exercise people in public speaking skills, despite their evident value for so many careers.  Moreover, writing speeches is often a form of policy formulation, as experienced speech-writers attest.

At a graduation ceremony last October in the Barbican I was fortunate to hear a superb speech by Thomas Clayton, President of the Student’s Union of King’s College London, speaking in his official capacity. The speech was original, clear, inspiring, and amusing, and was pitched just right for the audience and the occasion.  Clayton himself was enthusiastic and engaged, and his speech did not sound, as many at these events do, as if he was merely going through the motions. He is evidently someone to listen out for in future.

Zimbabwe's cohabitation

Robert Mugabe is a superb public speaker.  I have been fortunate to hear him speak in public many times, from large ceremonial public addresses on state and official occasions, to speeches at ZANU-PF political rallies (ranging from a few hundred to several scores of thousands of people at Rufaro Stadium, and with both sophisticated urban and traditional rural participants), to addresses to foreign investors and business leaders, to quiet, grave-side orations at funerals of mutual friends.  And I have expressed before my admiration for his rhetorical skills, his superb command of different registers, his intelligence, his Jesuit-trained casuistry, and his guile.  I have never met him, but from accounts of people who have, he can also be very charming when he wishes.

Despite claims by some that he has become diminished with age, and even falls asleep during official meetings, the opposition ministers in his Cohabitation Government say that he is just as charming, intelligent, and wily as ever.  From a  report this week in the Guardian:

Welshman Ncube, Zimbabwe’s Minister of Commerce and Industry and leader of one of the factions of the Movement for Democratic Change (MDC), lost his grandfather in the 1980s Gukurahundi. The Gukurahundi was a violent campaign in which thousands of opposition Zimbabwe African Peoples Union (Zapu) party supporters were killed and beaten by a brigade owing allegiance to President Robert Mugabe’s government.

Ncube shares his experience working with Mugabe in a unity government since 2009: “Ninety percent of the time, I cannot recognise the Mugabe I sit with in cabinet with the Mugabe who has ruled this country through violence. He shows real concern for his country and people, like a father. And he can master detail over a wide range of government matters. If I had only this experience with Mugabe in government and had not lived through the Gukurahundi and seen him denouncing Zapu with anger and belief on television, and you told me he carried out the Gukurahundi, I would say ‘no, not this man, he is not capable of it’. But I saw him.”

Another MDC minister, Priscilla Misihairabwi-Mushonga, also struggles to reconcile the man she thought Mugabe was, before entering government, with the one she knows today. “I did not think Mugabe believed in things. Now I know that Mugabe actually believes in things, ideologically, like that the British are after regime change in Zimbabwe. When he believes in something he will genuinely defend it. If he believes in an action, no matter how wrong it is, he will not apologise. That is one hallmark of Mugabe. He is loyal to his beliefs.”

On Mugabe’s personality, Misihairabwi-Mushonga says that she had not known that he was “a serious charmer around women. A very, very, very good charmer . . .  He also has an exceptional sense of humour. You literally are in stitches throughout cabinet. But he also has an intellectual arrogance. If you do not strike him as someone intelligent he has no time for you. There are certain people who, when they speak in cabinet, he sits up and listens, and others who, when they speak, he pretends to be asleep.”

Nelson Chamisa, the MDC Minister of Information and Communication Technology, once thought Mugabe was “unbalanced”, but adds: “sitting in cabinet with him, I admire his intellect. He has dexterity of encyclopaedic proportions. He is bad leader but a gifted politician. Why do I say he is a gifted politician? He has the ability to manage political emotions and intentions. But leadership is a different thing. The best form of leadership is to create other leaders who can come reproduce your vision after you. Mugabe has not done that.”

I add a note to clarify this post: None of the above should be seen as an endorsement of Mugabe’s policies, many of which have been motivated by malfeasance, peculation, and plain, old-fashioned, evil.  Unfortunately, his administration, unlike many in Africa, has been overwhelmingly competent, with even the policy of hyperinflation aimed – deliberately and very successfully – at enriching a few thousand people having foreign currency holdings at the expense of every other Zimbabwean. The pinnacle of this deadly-effective malevolence has been the enrichment of the political and military elite by use of the state’s military forces to operate protection rackets in foreign countries  – eg, in the Democratic Republic of the Congo, with whom Zimbabwe shares no border nor any strategic interest.

Scotland under cyber attack?

In the past, global empires such as those of Rome or Britain or France could face attacks from anywhere across the empire.   Britain, for instance, fought Imperial wars in Southern Africa and Afghanistan.   The Internet takes us back to that situation – any country, no matter how small or obscure, potentially faces cyber espionage or incursions or attacks from people anywhere in the world.   Ask Estonia or Denmark, both small countries that came under attack from cyber attackers.
The Roman Empire never did manage to subdue the belligerent peoples in what is now Scotland.   How ironic, then, that Scots nationalists seem not to have realized that an independent nation will need to defend itself from global attack.   MP Rory Stewart has reminded them, asking some hard, clear-light-of-day, questions about the romantic, candle-lit, vision of Scottish independence.   Questioning Nicola Sturgeon, Scotland’s Deputy First Minister, who was appearing before the UK House of Commons Committee on Foreign Affairs, Stewart asked about independent Scotland’s plans for intelligence and security:

Sturgeon came under repeated pressure from the Tory MP for Penrith and the Border, Rory Stewart, a former army officer and Foreign Office diplomat, to explain how an independent Scotland would build, equip, train and fund its own spying and security services.
Stewart said the UK’s current annual spying and security budget did not include the total historic costs of building and equipping its intelligence services, from setting up secure intelligence units in overseas embassies, training its agents, to building and equipping GCHQ.
It would cost billions, he said, to set up the secure communications Scotland needed for its intelligence agencies. For instance, if an independent Scotland wanted to have the same number of embassies overseas as Ireland, which has 97, or Finland, which has 93, it would cost hundreds of millions to equip them.”

One day in the life . . .

. . . of Boris N. Delone (1890-1980), Russian mathematician, moutaineer, and polymath, member of a famous family of mathematicians and physicists, whose grandson was a dissident poet:

July 6, 1975, Delone spends a cold night (-25 degrees C) in a tent on a glacier under the beautiful peak of Khan Tengri (7000 m, the Tien Shan mountain system, Central Asia) [pictured, at sunset] at a height of about 4200 m.  In the morning a helicopter picks him up to take him to Przhevalsk (now Karakol), a Kyrgyz city at the eastern tip of Lake Issyk-Kul.  From Przhevalsk he takes a local flight to Frunze (now Bishkek), the capital of Kyrgyzstan, where the heat exceeds 40 degrees C.   After queuing up for a few hours and with the help of some “kind people” and the Academy of Sciences membership card he succeeds in purchasing an air ticket to Moscow.   Late at night he arrives at Domodedovo airport in Moscow, from which he still needs to go to his country house near Abramtsevo (Moscow oblast).   Taking the last commuter train, he arrives at the necessary station at around 2 am; from there it is another three kilometers to his house, half of which are in a dark dense forest.  He loses his way and, after roaming around the night forest for a long time, leaves his heavy rucksack in a familiar secluded place.  Only in the morning does Delone succeed in getting home safely.”  (page 13).

In that year, 1975, Boris Delone was 85 years old.

N. P. Dolbilin [2011]: Boris Nikolaevich Delone (Delaunay): Life and Work. Proceedings of the Steklov Institute of Mathematics, 275: 1-14.  Published in Russian in Trudy Matematicheskogo Instituta imeni V. A. Steklov, 2011, 275:  7-21.  A pre-print version of the paper is here.