Talks in mathematical physics

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Date / Time

Speaker

Title

Location

12 April 2021
14:15-15:15

Michele Schiavina
ETH Zurich

Event Details

Title	Ruelle zeta function from field theory
Speaker, Affiliation	Michele Schiavina, ETH Zurich
Date, Time	12 April 2021, 14:15-15:15
Location	Zoom recording
Abstract	Meeting ID: 694 6631 1263 The password is the name of the largest sporadic group: M.....r I will discuss a field-theoretic interpretation of Ruelle zeta function, which "counts" prime geodesics on hyperbolic manifolds, as the partition function for a topological field theory (BF) with an unusual gauge fixing condition available on contact manifolds. This suggests a rephrasing of a conjecture due to Fried, on the equivalence between Ruelle zeta function and analytic torsion, as gauge fixing independence in the Batalin--Vilkovisky formalism.

Ruelle zeta function from field theoryread_more

Zoom recording

19 April 2021
14:15-15:15

Gabriele Rembado
Universität Bonn

Event Details

Title	Irregular WZNW conformal blocks
Speaker, Affiliation	Gabriele Rembado, Universität Bonn
Date, Time	19 April 2021, 14:15-15:15
Location	Zoom recording
Abstract	Meeting ID: 648 3420 1681 Password: M......r, the name of the largest sporadic group Verma modules for affine Lie algebras are used to define conformal blocks in 2-dimensional CFT, and are related to the quantisation of moduli spaces of logarithmic connections on the sphere. In this talk we will review this story, and introduce generalised affine-Lie-algebra modules to define irregular versions of conformal blocks: these will be related to the quantisation of moduli spaces of arbitrary irregular meromorphic connections.

Irregular WZNW conformal blocksread_more

Zoom recording

26 April 2021
14:15-15:15

Artem Kalmykov
Universität Zürich

Event Details

Title	Categorical approach to dynamical R-matrices
Speaker, Affiliation	Artem Kalmykov, Universität Zürich
Date, Time	26 April 2021, 14:15-15:15
Location	Zoom recording
Abstract	In this talk, I will explain the relation between dynamical R-matrices and the category of Harish-Chandra bimodules. In particular, I will interpret the so-called standard dynamical R-matrix in terms of the parabolic restriction functor and relate it to the Kostant-Whittaker reduction. This is a joint work with Pavel Safronov.

Categorical approach to dynamical R-matricesread_more

Zoom recording

10 May 2021
14:15-15:15

Huafeng Zhang
Université de Lille

Event Details

Title	Shifted Yangians and polynomial R-matrices
Speaker, Affiliation	Huafeng Zhang, Université de Lille
Date, Time	10 May 2021, 14:15-15:15
Location	Zoom recording
Abstract	Meeting ID: 667 7456 4743 Password: M......r, the name of the largest sporadic group Associated to a complex finite-dimensional simple Lie algebra are the so-called shifted Yangians, which include Drinfeld's Yangian as a particular case. We study a category O of representations of shifted Yangians. We establish cyclicity and cocyclicity properties for tensor products of arbitrary irreducible modules with a distinguished family of modules. This implies existence, uniqueness and polynomiality of the R-matrices for such tensor products. As an application, we prove that the tensor product of two irreducible modules is of finite representation length. (Joint work with David Hernandez)

Shifted Yangians and polynomial R-matricesread_more

Zoom recording

17 May 2021
14:15-15:15

Matthias Traube
Max-Planck-Institut für Physik, München

Event Details

Title	Cardy algebras, sewing constraints and string nets
Speaker, Affiliation	Matthias Traube, Max-Planck-Institut für Physik, München
Date, Time	17 May 2021, 14:15-15:15
Location	Zoom recording
Abstract	In this talk I will bring together three different concepts surrounding categorical descriptions for RCFTs. Firstly, Cardy algebras were introduced by Kong in order to describe the genus zero and one part of full open-closed RCFTs. Secondly, string-nets were shown by Kirillov to compute the state space of the Reshetikhin-Turaev three dimensional topological field theory. I will bring the two ingredients together, in order to show the third one. That is, I will show how Cardy algebra colored string-nets solve the sewing constraints, thereby giving rise to consistent correlators in full open-closed RCFTs and vice versa. The talk is based on the preprint: arXiv:2009.11895.

Cardy algebras, sewing constraints and string netsread_more

Zoom recording

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