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MULTIYEAR PROGRAM
CONFERENCE

Vertex algebras, geometric representation theory and quantum groups

Algèbres vertex, théorie géométriques des représentations et groupes quantiques

 

10 – 14 June, 2024

INTRANET FOR ORGANIZERS

Scientific Committee 
Comité scientifique 

Hiraku Nakajima (IPMU Tokyo)
Vera Serganova (University of California Berkeley)
Peng Shan (Tsinghua University, Beijing)

Organizing Committee
Comité d’organisation

Drazen Adamovic (University of Zagreb)
Tomoyuki Arakawa (Kyoto University)
Anne Moreau (Université Paris-Saclay)
Nils Scheithauer (Technical University of Darmstadt)

Time schedule
Abstracts
Participants
Audiovisual Mathematics Library (after the event)
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The goal of the conference is to explore connections between vertex algebras, geometric representation theory and the representation theory of quantum groups. The equivariant geometry of loop spaces of flag manifolds is essentially the same as that of affine Grassmannians which are the building blocks of the Coulomb branch of 3-dimensional gauge theories. This is one of the links between vertex algebras and geometric representation theory. Quantum groups are related to the representation theory of logarithmic vertex algebras, affine vertex algebras and $W$-algebras. It is expected that they are also connected to non $C_2$-cofinite vertex algebras and to higher rank logarithmic vertex algebras. Other subjects that will be covered are 4D/2D duality and conformal embeddings.

L’objectif de la conférence est d’explorer les liens entre les algèbres vertex, la théorie géométrique des représentations et la théorie des représentations des groupes quantiques. La géométrie équivariante des espaces de lacets des variétés de drapeaux est essentiellement la même que celle des Grassmanniens affines qui sont les éléments constitutifs de la branche de Coulomb des théories de jauge tridimensionnelles. C’est l’un des liens entre les algèbres vertex et la théorie géométrique des représentations. Les groupes quantiques sont liés à la théorie des représentations des algèbres vertex logarithmiques, celle des algèbres vertex affines et celle des W-algèbres. On s’attend également à ce qu’ils soient liés aux algèbres vertex non $C_2$-cofinies et aux algèbres vertex logarithmiques de rangs supérieurs. D’autres sujets comme la dualité 4D/2D et les plongements conformes seront abordés.  

SPEAKERS

Léa Bittmann (Université de Strasbourg)
Dylan Butson (University of Oxford)
Xuanzhong Dai (Kyoto University)
Gurbir Dhillon (Yale University)
Jethro van Ekeren (IMPA)
Maria Gorelik (The Weizmann Institute of Science)
Reimundo Heluani (IMPA)
David Hernandez (IMJ-PRG, Université Paris Cité)
Thibault Juillard (Université Paris Saclay)
Anna Lachowska (EPFL)
Simon Lentner (University Hamburg)
Sven Möller (University of Hamburg)
Fyodor Malikov (University of Southern California)
Hiraku Nakajima (Kavli iPMU, University of Tokyo)
Paolo Papi  (Sapienza University of Rome)
Vera Serganova (University of California, Berkeley)
Peng Shan (Tsinghua University)
Lewis Topley (University of Bath)
Eric Vasserot (Université Paris Cité)
Ivana Vukorepa (University of Zagreb)
Janik Wilhelm (Technical University of Darmstadt)

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