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Abstracts for Seminar on Algebra, Geometry and Physics

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An algebro-geometric approach to S-duality and T-duality and proof of modularity conjectures in BPS counting theories

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Speaker: 
Artan Sheshmani
Affiliation: 
MPI
Date: 
Tue, 2013-05-07 14:00 - 15:00
Location: 
MPIM Lecture Hall
Parent event: 
Seminar on Algebra, Geometry and Physics

In String theory S-duality and T-duality each correspond to certain relation between two quantum field theories. The former corresponds to a duality between the two string theories with coupling constants which are inverse of each other and the latter describes a certain symmetry between two theories associated to different geometries.

Noncommutative Local Monodromy Theorem

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Speaker: 
Vadim Vologodsky
Affiliation: 
U of Oregon/MPI
Date: 
Thu, 2013-05-16 13:30 - 14:30
Location: 
MPIM Lecture Hall
Parent event: 
Seminar on Algebra, Geometry and Physics
Let  X \to D^* be a smooth projective variety over the formal punctured disk D^*=spec K= spec \bC((t)).
   The Griffiths-Landman-Grothendieck ``Local Monodromy Theorem'' asserts that
the Gauss-Manin connection on the de Rham cohomology H^*_{DR}(X/D^*)  has a regular  singularity at the origin and that the monodromy of this connection is quasi-unipotent.

Supersymmetric quantum mechanics on vortex moduli spaces

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Speaker: 
Nuno Miguel Romao
Date: 
Tue, 2013-05-21 14:00 - 15:00
Location: 
MPIM Lecture Hall
Parent event: 
Seminar on Algebra, Geometry and Physics

I will report on an ongoing project aiming at uncovering fundamental
features of N=(2,2) supersymmetric quantum mechanics on moduli spaces
of vortices on compact Riemann surfaces, in analogy with the spectrum
of quantum dyon-monopole bound states that emerged in connection with
Sen's S-duality conjectures in the 1990s. My focus in this talk will
be on the geometry underlying the coupling of waveforms to local
systems in effective theories for supersymmetric two-dimensional sigma-models
with toric gauge symmetry. I will consider models with

Kirillov-Reshetikhin crystals, Macdonald polynomials, affine Demazure characters, and combinatorial models

Posted in
Speaker: 
Cristian Lenart
Affiliation: 
State U NY at Albany, College of Arts and Sciences/MPI
Date: 
Tue, 2013-06-18 14:00 - 15:00
Location: 
MPIM Lecture Hall
Parent event: 
Seminar on Algebra, Geometry and Physics

In recent work with S. Naito, D. Sagaki, A. Schilling, and M. Shimozono, we show that in all untwisted affine types the specialization of a Macdonald polynomial at t=0 is the graded character of a tensor product of one-column Kirillov-Reshetikhin (KR) modules.

 

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