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Spring Semester 2015

Date / Time Speaker Title Location
19 February 2015
15:15-16:15 		Pavol Severa
Universität Genf
Event Details

Talks in Mathematical Physics

Title Quantization of Lie bialgebras and moduli spaces of flat connections
Speaker, Affiliation Pavol Severa, Universität Genf
Date, Time 19 February 2015, 15:15-16:15
Location HG G 43
Abstract I will describe a new method of quantization of Lie bialgebras, simpler than the original method of Etingof and Kazhdan. The geometric background comes from quasi-Poisson rather than from Poisson geometry, in particular from moduli spaces of flat connections on surfaces with marked points on the boundary.
Quantization of Lie bialgebras and moduli spaces of flat connectionsread_more
HG G 43
* 26 February 2015
14:15-15:15 		Iakovos Androulidakis
University of Athens
Event Details

Talks in Mathematical Physics

Title Singular subalgebroids
Speaker, Affiliation Iakovos Androulidakis, University of Athens
Date, Time 26 February 2015, 14:15-15:15
Location HG G 19.2
Abstract Recently Gualtieri and Li gave a symplectic realization for Log-symplectic manifolds by deploying the "blow-up" construction used by Melrose. In this talk we introduce singular subalgebroids and their integration. Log-symplectic manifolds are instances of singular subalgebroids, and we show that in this context the above symplectic realization is really a holonomy groupoid. The basic ingredient of our constructions is the notion of a bisubmersion. At the end of the talk we discuss how bisubmersions allow the construction of the C*-algebra of any Lie algebroid (possibly non-integrable). This is joint work with Marco Zambon (Leuven).
Singular subalgebroidsread_more
HG G 19.2
* 26 February 2015
15:30-16:30 		Anton Khoroshkin
HSE Moscow
Event Details

Talks in Mathematical Physics

Title Around categorification of Macdonald polynomials
Speaker, Affiliation Anton Khoroshkin, HSE Moscow
Date, Time 26 February 2015, 15:30-16:30
Location HG G 19.2
Abstract The goal of the talk is to explain an approach to the problem of categorification of Macdonald polynomials based on derived categories of modules over Lie algebras of currents and relationship of Macdonald pairing with certain Lie algebra cohomology. Unfortunately, we are not able to solve the categorification problem in the full generality, however, we can explain what kind of generalizations, limits and applications one can derive out of this approach. The talk is based on math.arxiv:1312.7053
Around categorification of Macdonald polynomialsread_more
HG G 19.2
* 5 March 2015
14:15-15:15 		Florian Schätz
University of Aarhus
Event Details

Talks in Mathematical Physics

Title Flat superconnections and the loop space
Speaker, Affiliation Florian Schätz, University of Aarhus
Date, Time 5 March 2015, 14:15-15:15
Location HG G 19.2
Abstract The holonomies of a vector bundle with connection give rise to interesting structures on the based and the free loop space, respectively. I will explain how these structures generalize to flat superconnections. The talk is based on ongoing joint work with Camilo Arias Abad (Universidad Nacional de Colombia, Medellin).
Flat superconnections and the loop spaceread_more
HG G 19.2
12 March 2015
15:15-16:15 		Saikat Chatterjee
IHES
Event Details

Talks in Mathematical Physics

Title Decorated categorical principal bundles and gerbes
Speaker, Affiliation Saikat Chatterjee, IHES
Date, Time 12 March 2015, 15:15-16:15
Location HG G 43
Abstract A (strict) categorical group is a (strict) monoidal category with an additional operation of'inversion' under monoidal product. It has an equivalent description in terms of crossed modules. I will discuss the notion of a categorical principal bundle, and prescribe a general method of constructing a categorical principal bundle over the path space groupoid of a manifold, for an arbitrary categorical group. We call it a "decorated categorical bundle". I will explain it's relation with gerbes on the underline manifold. The background motivation behind this work, is to develop a differential geometric frame work for the "higher gauge theory".
Decorated categorical principal bundles and gerbesread_more
HG G 43
19 March 2015
15:15-16:15 		Paul Wedrich
Cambridge University
Event Details

Talks in Mathematical Physics

Title Deformations of link homologies
Speaker, Affiliation Paul Wedrich, Cambridge University
Date, Time 19 March 2015, 15:15-16:15
Location HG G 43
Abstract I will start by explaining how deformations help to answer two important questions about the family of (colored) sl(N) link homology theories: What relations exist between them? What geometric information about links do they contain? I will recall Lee's deformation of Khovanov homology and sketch how it generalizes to the case of colored sl(N) link homology. The result is a decomposition theorem for deformed colored sl(N) link homologies which leads to new spectral sequences between various type A link homologies and concordance invariants in the spirit of Rasmussen's s-invariant. Joint work with David Rose.
Deformations of link homologiesread_more
HG G 43
2 April 2015
15:15-16:15 		Xiaomeng Xu
Université de Genève
Event Details

Talks in Mathematical Physics

Title Irregular Riemann-Hilbert correspondence and Alekseev-Meinrenken dynamical r-matrix
Speaker, Affiliation Xiaomeng Xu, Université de Genève
Date, Time 2 April 2015, 15:15-16:15
Location HG G 43
Abstract In 2004, Enriquez-Etingof-Marshall suggested a new approach to the Ginzburg-Weinstein linearization theorem. This approach is based on solving a system of PDEs for a gauge transformation between the standard classical r-matrix and the Alekseev-Meinrenken dynamical r-matrix. In the talk, we explain that this gauge transformation can be constructed as a monodromy (connection matrix) for a certain irregular Riemann-Hilbert problem. Geometrically, this leads to a symplectic neighborhood version of the Ginzburg-Weinstein linearization theorem. Our construction is based on earlier works by Boalch. As an application, we give a new description of the Lu-Weinstein symplectic double.
Irregular Riemann-Hilbert correspondence and Alekseev-Meinrenken dynamical r-matrixread_more
HG G 43
16 April 2015
15:15-16:15 		Roman Riser
University of Leuven
Event Details

Talks in Mathematical Physics

Title Fine Asymptotic Behavior in Eigenvalues of Random Normal Matrices
Speaker, Affiliation Roman Riser, University of Leuven
Date, Time 16 April 2015, 15:15-16:15
Location HG G 43
Abstract We will show that there is a Christoffel-Darboux like formula for the normal matrix model which can be used to study the asymptotics of the average density of eigenvalues. We will give a description of the density including subleading corrections which hold uniformly in the complex plane. At the boundary, the subleading correction has an universal behavior only depending on the curvature. We will also show a formula for the correlation kernel. Finally we will discuss some applications of our results.
Fine Asymptotic Behavior in Eigenvalues of Random Normal Matricesread_more
HG G 43
7 May 2015
15:15-16:15 		Clément Dupont
MPIM Bonn
Event Details

Talks in Mathematical Physics

Title The Hopf algebra of dissection polylogarithms
Speaker, Affiliation Clément Dupont, MPIM Bonn
Date, Time 7 May 2015, 15:15-16:15
Location HG G 43
Abstract Periods are the complex numbers which may be defined by integrals of algebraic functions (with rational coefficients) over domains defined by algebraic inequalities (with rational coefficients). They include all algebraic numbers. The philosophy of motives predicts that classical Galois theory for algebraic numbers is a special case of a Galois theory for periods. In this talk we will introduce a family of periods, called dissection polylogarithms, indexed by some combinatorial objects, called dissection diagrams, and show that their Galois theory is encoded in a combinatorial Hopf algebra. This generalizes Goncharov’s work on (generic) iterated integrals on the punctured complex line. No a priori knowledge of the theory of motives is required.
The Hopf algebra of dissection polylogarithmsread_more
HG G 43
* 21 May 2015
14:15-15:15 		Scott Carter
University of South Alabama
Event Details

Talks in Mathematical Physics

Title Homology for Quandles with Partial Group Operations
Speaker, Affiliation Scott Carter, University of South Alabama
Date, Time 21 May 2015, 14:15-15:15
Location HG G 19.2
Abstract In this talk, I'll introduce multiple conjugation quandles and show how their axiomatization corresponds to coloring handlebody knots. Then I'll develop a formalism that unifies group and quandle homology.
Homology for Quandles with Partial Group Operationsread_more
HG G 19.2
28 May 2015
15:15-16:15 		Huafeng Zhang
Uiversité Paris 7
Event Details

Talks in Mathematical Physics

Title Asymptotic representations of quantum affine superalgebras
Speaker, Affiliation Huafeng Zhang, Uiversité Paris 7
Date, Time 28 May 2015, 15:15-16:15
Location HG G 43
Abstract We study representations of quantum affine superalgebras associated to general linear Lie superalgebras. An analog of Baxter T-Q relations in the spirit of Frenkel- Hernandez is proposed where T stands for finite-dimensional representations and Q asymptotic representations.
Asymptotic representations of quantum affine superalgebrasread_more
HG G 43

Note: events marked with an asterisk (*) indicate that the time and/or location are different from the usual time and/or location.

Organizers: Anna Beliakova, Alberto Cattaneo, Giovanni Felder, Matthias Gaberdiel, Gian Michele Graf, Horst Knörrer, Thomas Hans Willwacher

Archive: SS 24 AS 23 SS 23 AS 22 SS 22 AS 21 SS 21 AS 20 SS 20 AS 19 SS 19 AS 18 SS 18 AS 17 SS 17 AS 16 SS 16 AS 15 SS 15 AS 14 SS 14 AS 13 SS 13 AS 12 SS 12 AS 11

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