6,224 reputation
32364
bio website saveitep.org
location Moscow
age 40
visits member for 3 years, 10 months
seen Aug 26 at 19:46
http://ru.linkedin.com/pub/alexander-chervov/57/447/a93
Started as A.A. Kirillov's student in rerpresentation theory in Moscow State University. Got PhD in 1999. Worked in ITEP Moscow for 10 years somewhere in between representation theory, integrable systems and algebraic geometry, in particular geometric Lanlgands and its connection to Hitchin-Gaudin integrable systems.
Currently in industry: quantitative finance, previously in wireless telecommunication doing applied math.: information theory, error-correcting codes, statistical estimation theory, numerical algorithms.
Deeply worried about the ITEP very unfortunate situation: http://saveitep.org
http://n-vetlitskaya.livejournal.com/241846.html
Leading Russian research center is in danger. More than 850 scientists signed letter to president and prime-minister asking for help. Fields medalists M. Atiyah, L. Lafforgue, E. Witten, Nobel Prize winner D. Gross, mathematicians A. Beilinson, I. Cherednik, B. Dubrovin, P. Etingof, B. Feigin, A. Kirillov, I. Krichever, N. Reshetikhin, E. Vinberg, physicists J. Cardy (Oxford), M. Douglas, J. Froehlich, J. Maldacen (IAS), N. Nekrasov(IHES, ITEP), B. de Wit, are among them.
You can join support letter here: https://sites.google.com/site/itep2012/english

Nature, 27.01.2012 , Geoff Brumfiel 'Russian physicists protest government consolidation' http://www.nature.com/news/russian-physicists-protest-government-consolidation-1.9921

I worked in ITEP more than 10 years, I learned a lot from these people and it is really one the best institutes in Russia and world. Like many colleagues I am really afraid that current situation is step by step programm of killing ITEP. Last year newly instead director made from research institute "GULAG-light" as said Prof. Stan Brodsky from Stanford said after seeing all this.
My name Alexander Chervov
al. mysurname at gmail dot com

Aug
23
awarded  Favorite Question
Aug
17
awarded  Popular Question
Jul
27
revised Update on list of open problems for Cherednik/Symplectic Reflection Algebras
edited tags
Jul
17
comment Is the Duflo polynomial conjecture open?
@AlexGavrilov These algebras are commutative - are they known/conjectured to be isomorphic to polynomials in some number of variables ? Or there can be some non-trivial relations ?
Jul
17
comment Is the Duflo polynomial conjecture open?
There is another paper by Rybnikov related to this: link.springer.com/article/10.1007/s00031-004-9004-9 Structure of the Center of the Algebra of Invariant Differential Operators on Certain Riemannian Homogeneous Spaces , Abstrcat: We study Duflo's conjecture on the isomorphism between the center of the algebra of invariant differential operators on a homogeneous space and the center of the associated Poisson algebra. For a rather wide class of Riemannian homogeneous spaces, which includes the class of (weakly) commutative spaces, we prove the "weakened version" of this conjecture.....
Jul
17
comment Is the Duflo polynomial conjecture open?
@AlexGavrilov Oh, it seems I misunderstand the situation, it seemed to me if the algebras are known to be commutative, then they are isomorphic...
Jul
16
comment Vector bundles, Higgs bundles and the Langlands program
@Aswin I think your original question would be very fine if you would delete the part "and not just moduli spaces of stable vector bundles on Riemann surfaces ". It is quite non-trivial way from the original Langlands arithmetic correspondence to moduli space of vector bundles.
Jul
16
answered Is the Duflo polynomial conjecture open?
Jul
15
comment Vector bundles, Higgs bundles and the Langlands program
@Aswin it might be that I misused the enumeration in my comments. Let me try to say again: BD is about Hitchin integrable system, the other paper by Hitchin ("Self-duality ...") is completely irrelevant for "motivation", "understanding" original ideas of BD. In particular when you ask "Why T^*Bun, not Bun itself" is something not verywell-posed question. Bun is "configuration space" for Hitchin hamiltonians, "T^*Bun" is "phase space". Configuration and phase space always are related - they are twins.
Jul
15
comment Vector bundles, Higgs bundles and the Langlands program
@Aswin Beilinson Drinfeld is about Hitchin integrable system. Second paper is very far from being "motivation" or "directly related" or "prerequisite" or something like that.
Jul
15
comment Vector bundles, Higgs bundles and the Langlands program
@S.Carnahan yep, it is good point to mention. But according to my understanding "schtukas" is something like TWICE Bun_G, it is something like PAIR of vector bunles plus isomorphism of one of them to Frobenius twist of another. That is why I wrote that, it might be a small surprise that over C, we do need schtukas, but just vector bunldes are Okay. However, I am not expert in schtukas and might be wrong.
Jul
15
comment Vector bundles, Higgs bundles and the Langlands program
@Aswin I think that the point of confusion is that we talking about two different papers by Hitchin: two different kinds of equations. Indeed, Hitchin wrote around 1987 two papers and both of them are related to Langlands correspondence. 1) "Self-duality equation on Riemann surface" 2) Stable bundles and integrable systems. It seems you keep in mind (1), while Beilinson-Drinfeld works is related to (2). Indeed, it seems that Kapustin-Witten approach somehow is related to (1). But original Beilinson-Drinfeld approach has nothing to do with it.
Jul
14
comment Vector bundles, Higgs bundles and the Langlands program
@Aswin to speak physically : BUN is configuration space of Hitchin system. Cotangent is phase space. These two are twin brotherss
Jul
14
comment Vector bundles, Higgs bundles and the Langlands program
@aswin do we agree that Hitching d-module lives on modli space of bundles NOT cotangent?
Jul
14
answered Vector bundles, Higgs bundles and the Langlands program
Jul
12
revised What is natural about the well-known bijection between conjugacy classes and irreps of a symmetric group?
added 849 characters in body; edited tags
Jul
6
comment What is natural about the well-known bijection between conjugacy classes and irreps of a symmetric group?
@QiaochuYuan If you can remember the construction, that would be valuable.
Jul
6
comment What is natural about the well-known bijection between conjugacy classes and irreps of a symmetric group?
@JohannesHahn The other threads ask different questions. 1) Is there any "bijection" for GENERAL finite groups 2) What are OTHER (not S_n) groups which have some "well-known"/"natural" bijection. So on.
Jul
5
comment What is natural about the well-known bijection between conjugacy classes and irreps of a symmetric group?
@QiaochuYuan What is IIRC ? JohannesHahn Other question are not about that.
Jul
5
asked What is natural about the well-known bijection between conjugacy classes and irreps of a symmetric group?