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Siegel Eisenstein series and Humbert varieties

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Speaker: 
M. Viazovska
Datum: 
Fre, 2010-01-29 11:00 - 12:00
Location: 
MPIM Lecture Hall

 

Entropy-rigidity of convex cocompact manifolds

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Speaker: 
Samuel Tapie
Datum: 
Don, 2010-01-28 16:30 - 17:30
Location: 
MPIM Lecture Hall
Parent event: 
Oberseminar Differentialgeometrie

Six vertex model and enumerations of alternating-sign matrices

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Speaker: 
A. V. Razumov
Zugehörigkeit: 
Inst. for High Engergy Physics, Protvino/MPI
Datum: 
Don, 2010-01-28 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

One more interaction between theoretical physics and mathematics will be discussed. There is a famous combinatorial problem to enumerate the so-called alternating-sign matrices, which are a generalization of the permutation matrices. This problem was solved by Doron Zeilberger in 1995. Much simpler solution was given by Greg Kuperberg in 1996. It was based on the one-to-one correspondence between the alternating-sign matrices and the states of the statistical six-vertex model.

Automorphic forms on $GL(2)$ III

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Speaker: 
C. Kaiser
Zugehörigkeit: 
MPIM
Datum: 
Don, 2010-01-28 12:00 - 13:00
Location: 
MPIM Lecture Hall

 

Duality in the triangulated category of singularities

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Speaker: 
Daniel Murfet
Zugehörigkeit: 
Bonn
Datum: 
Don, 2010-01-28 10:30 - 11:30
Location: 
MPIM Lecture Hall

 

The Nielsen-Thurston classification

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Speaker: 
C. Weiss
Zugehörigkeit: 
U. Bonn /MPIM
Datum: 
Mit, 2010-01-27 17:15 - 18:15
Location: 
MPIM Lecture Hall

 

Mapping class group and moduli space III

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Speaker: 
G. Scaria
Zugehörigkeit: 
MPIM
Datum: 
Mit, 2010-01-27 16:30 - 17:30
Location: 
MPIM Lecture Hall

 

Periods of mixed Tate motives. Examples, l-adic Galois side.

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Speaker: 
Zdzislaw Wojtkowiak
Zugehörigkeit: 
U de Nice-Sophie-Antipolis/MPI
Datum: 
Die, 2010-01-26 16:30 - 17:30
Location: 
MPIM Lecture Hall

The iterated integrals from 01 to 10 in sequences of one-forms $dz/z$ and $dz/(z-1)$ are periods of mixed Tate motives over Spec Z. The obvious question is if in this way we shall get all periods of mixed Tate motives over Spec Z. We shall construct an l-adic Galois version of this problem and its generalization. We shall construct in the l-adic Galois setting all periods of mixed Tate motives (we call them coefficients) over Spec Z $[1/p]$, hence also over Spec Z, and also over Spec Z[i $\sqrt{p}$] (with $p=3(mod 4)$ in the last case).

F-manifolds and quantum cohomology

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Speaker: 
Yu. Manin
Zugehörigkeit: 
MPIM
Datum: 
Die, 2010-01-26 14:00 - 15:00
Location: 
MPIM Lecture Hall

I will define and explain basic facts about F-manifolds. This differential geometric structure is a weakining of the notion of Frobenius manifold encoding Quantum Cohomology in genus zero.

Topology of non-isolated Singularities

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Speaker: 
Mamuka Shubladze
Zugehörigkeit: 
Tbilisi / MPI
Datum: 
Mon, 2010-01-25 15:00 - 16:00
Location: 
MPIM Lecture Hall

We study the topological structure of non-isolated singularities of analytic functions of several complex variables. we proved that for some classes of non-isolated singularities Milnor fibre is homotopy equivalent to a bouquet of spheres. we give an explicit expression of the numbers of spheres in the bouquet.

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