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MULTIYEAR PROGRAM
CONFERENCE

Vertex algebras, automorphic forms and combinatorics

1 – 5 June, 2026

INTRANET FOR ORGANIZERS

Scientific Committee
Comité scientifique

Kathrin Bringmann (University of Cologne)
Dennis Gaitsgory (Max Planck Institute for Mathematics)
Victor Kac (MIT)

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
STEP 1 - PRE-REGISTER - APLY HERE
STEP 2 - MANAGE MY RESERVATION (available later)

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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

To be announced

SPONSORS