Interview with Mikhail Gromov, recipient of the 2009 Abel Prize - http://www.ams.org/notices... "Popular" level description of his work - http://www.abelprisen.no/en...
Maitani,
Alfonker Tapir,
Kaan Ceyhan /^\,
Onur Yalazı,
nerezo,
ufuk,
solange,
f(z),
and
Laleña Hn.
liked this
Biliyorum gidip roportaji okumayacaksiniz :) Alintilar yapicam ugrasip, onlari okuyun bari.
- mkz
"We have been told that you
have been interested in questions and problems in
mathematical biology recently. Can you describe
your involvement and how your mathematical
and geometric insights can be useful for problems
in biology?" / "I started to
learn about these mathematical procedures and to
realize that it led to fantastic mathematical questions.
But it was hard to say exactly what it is; I
just cannot formulate it. Of course there are very
particular domains like sequencing, and there are
specific algorithms used there. But this is not new
mathematics; it is old mathematics applied to this
domain. I believe there is mathematics out there
still unknown to us that is yet to be discovered.
It will serve as a general framework, just like differential
equations give a framework for classical
mechanics. It will be rather abstract and formal,
but it should embed our basic knowledge of biology
and maybe accumulate results that we still
do not know. I still think about this but I do not
know the answer."
- mkz
"This means that you read
Nash’s work and were impressed by it very early?"
/ "Yes, I read it very carefully. And I still
believe I am the only person who read his papers
from the beginning to the end. [...]
What he has done in geometry is, from my point of
view, incomparably greater than what he has done
in economics, by many orders of magnitude. It was
an incredible change in attitude of how you think
about manifolds."
- mkz
"Are you a problem solver
more than a theory builder? Would you describe
yourself in any of those terms?" / "It depends upon the mood you are in.
Sometimes you only want to solve one problem.
Of course, with age, you become more and more
theoretical. Partly because you get wiser but you
can also say it is because you get weaker. I suppose
it depends on how you look at it."
- mkz
"When you were younger, you
had more energy, but now you are a lot wiser, right?" / "You can say you become more experienced
and wiser when you get older. But you also
lose your mental powers and you become weaker.
You certainly just have to accept that. Whether you
become wiser is questionable. But it is obvious that
you become weaker."
- mkz
"Is it your impression that
biologists recognize and appreciate your work and
the work of other mathematicians?" / "I have not done anything. I just communicated
with biologists. But I think many of
them were quite satisfied talking to me, as well
as to other mathematicians. Not because we know
something but because we ask many questions.
Sometimes they cannot answer but that makes
them think. That is about it, but this is not so little
in my opinion. In this way, mathematicians can be
useful by being very good listeners."
- mkz
"You once
compared the whole building of mathematics with
a tree, Hilbert’s tree, with a metric structure expressing
closeness or nearness between different areas
and results. We know from Kurt Gödel that there
are parts of that tree we will never reach. On the
other hand, we have a grasp of a certain part of the
tree, but we don’t know how big this part is. Do you
think we know a reasonable part of Hilbert’s tree?
Is the human mind built for grasping bigger parts
of it or will there stay areas left uncharted forever?" /
"Actually, I am thinking about that now.
I don’t know the answer, but I have a program of
how we can approach it. It is a rather long discussion.
There are certain basic operations by which
we can perceive the structure. We can list some
of them, and apparently they bring you to certain
parts of this tree. They are not axioms. They are
quite different from axioms. But eventually you
cannot study the outcome with your hands and
you have to use computers. With computers you
come to some conclusions without knowing the
intermediate steps. The computational size will
be too huge for you. You have to formalize this
approach to arrive at certain schemes of computations.
This is what I think about now but I don’t
know the answer."
- mkz
"It is relatively simple to write just one page of interesting
mathematics. This should be done so that
many different subjects in mathematics become
easily available. As a community we should go out
and create such structures on the Internet. That is
relatively easy. The next level is more complicated;
writing a book is not easy. Within the community
we should try to encourage people to do that. It
is a very honorable kind of activity. All too often
mathematicians say: “Just vulgarization, not serious”.
But that is not true; it is very difficult to write
books with a wide appeal, and very few mathematicians
are actually able to do that. You have to know
things very well and understand them very deeply
to present them in the most evident way."
- mkz
"What about Pushkin?" / "You see, with Pushkin, the problem is
as follows. He was taught at school, and that has a
tremendously negative impact. But forty years later
I rediscovered Pushkin and found him fantastic"
- mkz
Bugun denk geldim, sondaki Pushkin muhabbetine benzer, merhum David Foster Wallace bey demis: "One has only to spend a term trying to teach college literature to realize that the quickest way to kill an author's vitality for potential readers is to present that author ahead of time as "great" or "classic." Because then the author becomes for the students like medicine or vegetables, something that the authorities have declared "good for them" that they "ought to like," at which point the students' nictitating membranes come down, and everyone just goes through the requisite motions of criticism and paper writing without feeling one real or relevant thing. It's like removing all oxygen from the room before trying to start a fire." (öte tarzi bilgilendirme baglantisi: http://www.google.com/search...)
- mkz
mkz, "What he has done in geometry is, from my point of view, incomparably greater than what he has done in economics, by many orders of magnitude. It was an incredible change in attitude of how you think about manifolds." kismi cok ilgimi cekti.
- f(z)
"Nash embedding theorem"leri (gomme teoremi? Evet, gommeymis http://tmd2.org/sozluk/) kastediyor sanirim. Riemann manifoldlarini gayet "elle tutulur" hale getiriyor Nash'in bu yaptigi, ama makaleleri/ispatlari ben de okumadim acikcasi.
- mkz
Iki kere niyetlendim okumaya sonra a bu pdf mis dedim vazgectim. Pdf ciddiyet gerektiriyor, yatirim bekliyor. Ozet guzelmis.
- husdemir
PDF'in oyle bi etkisi var valla. Odul sayfasindaki populer duzey seye bak istersen diyecektim, dedim kendim okumadigim seyi tavsiye etmeyeyim, oturdum okudum simdi. Ara ara fena degil ama her yerini bilmeyene gore yazmayi becerememis sanki.
- mkz
Aklıma Halil Dikmen geldi nedense. Büyük neyzenliği o kadar bilinmeyen değerli Türk ressamı ve akademi kurucu müdürü.
- f(z)
Emre, nereden geldi aklina? Duymamistim ben adini.
- mkz
Aklima gelmesinin sebebi su: Hani yukarida diyor ya, Nash oyun teorisine olan katkilari ile bilinir ama geometri alaninda da cok saglam eserler vermistir diye, o hesap iste. Halil Dikmen de Osmanli-Cumhuriyet donemleri arasinda yasamis buyuk bir ressam ve akademi kurucu muduru olarak bilinir ancak neyzenligi belki de ressamliginin otesindedir ve daha derindir. Benzer sekilde Dikmen'in muziklerine ulasmak resimlerine ulasmaktan daha zordur zira tek tuk kaydi vardir. Nash'ten farkli olarak ise Dikmen'in hayati buyuk ihtimalle hicbir buyuk Hollywood produksiyonuna konu olmayacaktir.
- f(z)
Sende var o kayitlardan diye anladim, dogru mu anladim? Paylassan da gonul gozumuz acilsa, folk muzigiyle cakra ve ucuncu goz acma calismalarimiz basarisizlikla sonuclandi.
- mkz
Yanlis anladin. Vakti zamaninda Acik Radyo'daki Saz ve Söz programindaki ustadlar calmislardi kayitlarin bir kismini. Halil Dikmen topluluk onunde pek calmaz imis, hele de kayit kuyut islerine pek girmezmis, programda anlatilanlara göre ancak arkadaslari cok israr edince, dost meclislerinde calarmis, o dönemlerden kalma kayitlarin bir kismini radyodan da olsa dinleme zevkini tattigim icin bugun bile kendimi cok sansli sayarim. Isin uzmani degilim ama hatirladigim kadari ile Ergunerlerin tarzindan epey farkli bir tarz idi. Dikmen'in ögrencisi Niyazi Sayin o tarza dair bir ipucu verir.
- f(z)
uzaktan izliyordum, kayitlar var diye heyecanlandim, demek ben de yanlis anlamisim.
- Kiraz Akın
Var kayitlar ama bende degil. Acik Radyo, Saz ve Söz, TRT arsiv filan diye takip ederek, arastirarak ve insanlarla iletisim kurarak bahsi geçen kayitlara ulasmak mumkun olabilir (tabii iki tiklama ile GBlarca veri cekmeye alistigimiz modern cagda kim bu kadar o guzelliklere erismek icin, o da ayri konu)
- f(z)
Bundan 15-16 sene kadar önce Tarkvoski'nin Solaris'ini izlemek icin Istanbul'dan Eskisehir'e gitmeyi, Anadolu Universitesi'nin arsivine girmeyi dusunen arkadaslarim vardi. Sanirim artik oyle bir mentalite sadece profesyonel tarihcilerde yahut belgesel cekenlerde filan var (o arkadaslarim muhendislik bolumunde okuyordu). Artik her seyi oturdugumuz yerden halletmek istiyoruz ve bir sey Google indekslerinde yok ise o sey bizim icin tamamen yok.
- f(z)
evet hazirci olduk sahiden de. yalniz internete derin arsiv/kutuphane muamelesi yapmak, yapabilmek gibi baska bir durum da var. hersey elimizin altinda gibi dursa da, bazen cok nadir bilgiler (bu konusma cercevesinde sarkilar) bulunabiliyor. Bunlari buldugumuz zaman kendimizi zaten el altinda olan birseye ulasmis gibi hissediyoruz cogunlukla, oysa bazen ona erismek icin sarf ettigimiz emek ve zaman, kalkip kutuphaneye gitmeye ya da bir arsivde calismanin zorluklarina asagi yukari benzeyen ya da onu animsatan bir surec olabiliyor. Bunu harcamamak lazim bana kalirsa. Bu da bir surec, bu da emek, ama "internet kolayciligi" basligi altinda cok daha onemsiz bir seymis gibi duruyor. bahsettiginiz gibi insanlarin varligina hala inaniyorum ben, hatta biliyorum bazilarini.
- Kiraz Akın
bir suredir izerine dusundugum bir konuyu, bir cirpida yeri geldi diye yazivermis oldum, umarim yeterince acik anlatabilmisimdir.
- Kiraz Akın
5 sene öncesinden bir güzellik
- f(z)
": Do you still feel that there is
a specific Russian mathematical background that
you build your work upon? / Yes, definitely. There was a very strong
romantic attitude towards science and mathematics:
the idea that the subject is remarkable and that
it is worth dedicating your life to. I do not know
whether that is also true in other countries because
I was not elsewhere at that time of my education.
But that is an attitude that I and many other mathematicians
coming from Russia have inherited.
- ufuk
Bizim hocalardan bazıları eski Rus kitaplarından alınma analiz, cebir, vs soruları sormayı severdi. Anamız aglardi
- f(z)
Rus mat geleneği bayağı ilginç, yüzeysel sayılacak bi fikrim var ama farklılığı kendini hissettiriyor. Arnold'un röportajına da bi göz atın (o biraz milliyetçi sayılacak düzeyde takılıyor ara ara ama ilginç şeyler anlatıyor): http://www.math.upenn.edu/Arnold... - "The Russian mathematical tradition goes back to the old merchant problems. Very young children start thinking about such problems even before they have any knowledge of numbers. Children five to six years old like them very much and are able to solve them, but they may be too difficult for university graduates, who are spoiled by formal mathematical training."
- mkz
Bir de (yine Arnold--Arnol'd): "It is still possible to attain a high reputation in the Western mathematical community by simply rewriting (or modernizing) classical Russian achievements and ideas unknown to the West."
- mkz
Bi de kişisel muhabbet: 20 yıl falan önce, Tübitak MAM'da heyecanlı bi lisans öğrencisi olarak dolanırken tanışmıştım ilk bu Arnold'la. Mekanik biliyorum/seviyorum diye merakla bunun mekanik kitabını açıp neye uğradığımı şaşırmıştım. Sonra yıllarca karıştırdım o kitabı, yavaş yavaş anladım zaman içinde ama hala da her yerini halledemedim. Tüm zamanlar en sevdiğim teknik kitaplar listesinde ilk üçte: http://www.amazon.com/Mathema....
- mkz
Çenem düştü ama -- (5 yıllık fiidi aplarsan böyle olur :) şaka bi yana, kimse bakmasa Emre bakar diye kaç fiid açtım yıllar içinde bilmiyorum, buradan teşekkür etmiş olayım toptan, fırsattan istifade) -- o kitaptan bir de soru ve alakalı anı, burada daha önce bahsettim gibi geldi ama emin olamadım: 2'nin kuvvetlerine bakalım: 2, 4, 8, 16, 32, 64, ... Bunların ilk basamaklarını alalım: 2, 4, 8, 1, 3, 6, ... Bu dizide 7 hiç çıkar mı? 7 mi daha çok çıkar, 8 mi? Kaç kere daha çok?
- mkz
Doktoradayken gördüydüm bu soruyu ilk, bayağı manyak gibi uğraşıp inatlaşıp sonunda yapıp acayip havalara girdiydim. O zamanlar bi lab dersinde asistanlık yapıyodum, dersi alanlar içinde de üniversiteye 14 yaşında başlamış acayip bi bebe vardı. Her lab öncesi hazırlık sorularını kontrol ediyodum, öğrencilerin yapamadıkları şeyleri anlatıyodum, ama bu hep mükemmel yapmış olduğu için ona ayrılan süre boş geçiyodu, ben de arada ilginç sorular bulup getiriyordum buna, muhabbet olsun diye. Bi gün de gene boş kalan vakitte bu soruyu sordum, şöyle bi 3-4 saniye durdu, ve dan diye gördü cevabın ana fikrini. Önceden gördün mü buna benzer bişey/aynı ana fikri kullanan soru dedim, yok dedi. Bayağı enteresan (ve 'humbling') bi tecrübeydi.
- mkz
Biliyorum gidip roportaji okumayacaksiniz :) Alintilar yapicam ugrasip, onlari okuyun bari. - mkz
Şurada koptum dışımdan güldüm :)
- Onur Yalazı
:) Alıntılar da uzun olmuş ama.
- mkz
Tam zamanında hoplatmışsın Emre: "'Beautiful mind' John Nash adds Abel Prize to his Nobel" http://www.nature.com/news... http://www.abelprize.no/c63466...
- mkz
Yukarıda Gromov'un övdüğü şeyler için ödül. "“It was an unknown area,” [Nash] said in a 2011 interview. “I didn’t realize that, and I said, this doesn’t seem so difficult”."
- mkz
Kalp kalbe karsiymis, ben de az önce Terence Tao'nun G+'sinda gordum haberi :)
- f(z)
