[Turkmath:8526] Ali Erhan Özlük

26 Ağu 2012 Paz 16:03:34 EEST

Sayin Mert Alp Bey

Biraz once, ilisikdeki resimde en sagdaki kişinin rahmetli Ali Erhan
Özlük oldugunu sevgili irini dimitriyadis den ogrenince bir tuhaf
oldum.
Bu resim haricinde kendisini tanıma fırsatım olmadı.
Bir de hep beraber "genç türkler Varşova da" diyerek bira
bardaklarımızı kaldırdığımızı anımsıyorum.
Ali Erhan Özlük  hocanin bu güzel resmini aile fertleri ve matematik
camiamizla  paylasmak istedim, soldan: y.a., yusuf avci, amerikali bir
matematikci, ve Ali Erhan Özlük.

Turk matematik camiasi Ali Erhan Özlük ün zamansiz aci kaybini
Cumhuriyet de ölüm ilanini goren sevgili Soley Çınar Alpay in bana
sorduğu "taniyormusun?" sorusu uzerine  tesadufen ogrenmisti, (zaten
bu ulkede her sey tesadufen yaşanir...).

İlişikdeki resme de henüz yeni kaybettiğimiz bir başka güzel insan
William Thurston un vefatı üzerine arşivimde gezinirken tesadüfen
rastladım.  Ali Erhan Özlük hakkında şu yazıyı okuyunca

http://bangordailynews.com/2012/03/19/obituaries/ali-erhan-ozluk/

bir defa daha anliyoruz ki şu fani rüya aleminde "geriye kalan gök
kubbede hoş bir seda" dan başkasi yalan imiş,  (o da birakilabildiyse
şayet)... Thurston sessiz, sade ve çok mütevazi birisiydi ama geriye
biraktigi seda çok büyüktür. Ali Erhan Ozluk un geride bıraktığı hoş
sedasi da işde bu yazida.

Nur içinde yatsınlar, toprakları boıl olsun.

y.a.
...........
Asagidaki yazismalar,  genc matematikcilerimize simplektik geometrinin
tarihi hakkinda enteresan gelebilir dusuncesi, ve ayrica  Timur Karacay
hocamizin tavsiyeleri uzerine, turkmath le paylasilmistir:

Dear Yilmaz and Alan,

Good evening from Rio!
I wish our next exchange will be about an upswing fact.

Alan, may I share the non-kahler story to the Geometric Mechanics group in
Rio (Henrique, Paula, Alex, Alejandro)?

It is important for young people to know the sociology  behind theorems and
examples.

Here's muy short Thurston story.  During a summer in Berkeley, I  guess in
1974 (or maybe in my postdoc in 1982?),  I  was  told that  I would share
the  office I was using with a visitor.   The guy came in and introduced
himself, "hi I am Thurston", and left.    Unfortunately he did not came
back.

Wellington de Melo from IMPA is a follower and admired of Thurston's work,
and he told me in 2006 at the IMU that he was in anger that people were not
giving proper credit to Thurston in paving the way for the proof of
Poincare's conjecture in 3d.

cheers,

jair

PS -  During Jerry Marsden's legacy  conference in Toronto,   Joris
Vankerschaver
showed how to extend  a vortex systems in the sphere S^2 to  S^3.  This was
reminiscent to me to  Tuynman post classical construction (S^1 bundles),
and perhaps this could be a step towards quantizing vortices?
_______________________________
From: Alan Weinstein
To: yilmaz akyildiz
Cc: Jair Koiller
Subject: "every lost is an early lost"

Dear Yilmaz,

Thanks for your note.  I, too, was very shocked by the news about Bill.
Here's the story about the example.   In Fall, 1972, I gave some lectures
about symplectic geometry at the Institute for Advanced Study.   Bill was
in the audience, also a visiting member at IAS.  In the lecture, I
mentioned the "theorem" published by Gugggenheimer  to the effect that
every compact symplectic manifold admits a Kahler structure, together with
the  Zentralblatt review by Libermann of the article pointing out a flaw in
the proof.  (The Math  Reviews review by Hodge did not mention any error.)
  The next day, Bill came with his example, a flat bundle of 2-tori over
the 2-torus with first Betti number equal to 3. It was eventually published
in:
Thurston, W. P.
Some simple examples of symplectic manifolds.
Proc. Amer. Math. Soc. 55 (1976), no. 2, 467–468.
57D15
Later, somebody realized that this example could be found in Kodaira's
classification of complex surface, wheres, I believe, it was noted that it
could not be Kahler because  of the Betti number.    Probably Kodaira
didn't mention that it was symplectic, because he wasn't interested in
symplectic geometry.   Anyway, the example is now known as the
"Kodaira-Thurston" example.
Best regards, Alan

On Sat, Aug 25, 2012 at 7:32 AM, yilmaz akyildiz <yilmaz.akyildiz at gmail.com>
wrote:
>
> this is what a turkish poet (cemal süreyya) once said:
> "every lost is an early lost"
>
> he was also an early bypasser.
>
> Dear Alan
>
> i was just about to start reading the book on Smale, (the mathematician
who broke the dimension barrier), i was shocked with the news of Bill
Thurston.
>
> As i remember, it must be during 71 - 72, one day we suddenly heard that
Bill came up with an example of the very first compact symplectic manifold
which was not complex, (i bet you told him about the need for such an
example?) I think it was a twisted product of S^1 with S^3 in a non-trivial
but simple way. Now that I moved away from istanbul and living in a more
secluded place (totally retired from istanbul) by the sea in the south
(Çeşme near Izmir) I do not have with me the little green book, a present
from Jair, left in istanbul, which may have this example written down along
with how Fourier Expansion may also be looked at as geometric quantization.
I think both stayed as folklore and never been written down or published. I
would be grateful if you would remind me of Thurston's construction.
>
> I am enclosing 2 pictures from Warsaw ICM'82. One with Yau & Thurston
receiving their medals. Arnold, Atiyah, Manin, Moser, Freudenthal were also
there. So were the 3 young turks in the picture with an american
mathematician.
>
> I am also attaching my memoirs about Bill  in Turkish. My writing styles
in turkish and english are so very different that I cannot translate my
writings. If interested, let google do it for you...
>
> all the best to you and the family
>
> and big hugs to jair.
>
> y.
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