DT invariants of symmetric quivers: algebra, combinatorics, and topology

26 sept. 2023, 09:30 → 29 sept. 2023, 14:00 Europe/Paris

Salle de conférences (IRMA)

Motivic Donaldson-Thomas invariants for symmetric quivers were introduced by Kontsevich and Soibelman around 2010. The initial goal was to capture motivic properties of stacks of quiver representations.  However, it turned out that these invariants admit a lot of beautiful interpretations of algebraic, geometric and combinatorial nature.

Among the structures naturally popping up in the theory are the cohomological Hall algebras, vertex operators algebras, Hilbert schemes, BPS states, and the Koszul duality. 

 

The goal of this event is to bring together mathematicians and physicists working with the motivic Donaldson-Thomas invariants. We expect that the experts will be able to exchange their ideas and insights, which will lead to a better understanding of the existing results and their interrelationships, as well as to new directions.

 

 

 

mardi 26 septembre

09:30 → 10:00 Coffee break

10:00 → 11:45 Introduction to CoHAs and refined DT invariants

Orateur: Markus Reineke

12:00 → 14:00 Lunch

14:00 → 15:15 Unlinking for symmetric quivers

Orateur: Piotr Kucharski

15:30 → 16:00 Coffee break

16:00 → 17:15 Diagonalisation for symmetric quivers

Orateur: Dmitry Noshchenko

mercredi 27 septembre

09:00 → 10:15 Modules over CoHA

Orateur: Hans Franzen

10:15 → 10:45 Coffee break

10:45 → 12:00 Vertex algebras and CoHAs

Orateur: Sergey Mozgovoy

12:15 → 14:00 Lunch

14:00 → 15:15 Koszul algebras and DT invariants

Orateur: Vladimir Dotsenko (University of Strasbourg)

15:30 → 16:00 Coffee break

16:00 → 17:30 Discussion session

19:00 → 22:00 Workshop dinner

jeudi 28 septembre

09:30 → 10:30 Coffee break

10:30 → 11:45 Knots-quivers correspondence

Orateur: Piotr Sułkowski

12:00 → 14:00 Lunch

14:00 → 15:15 Quiver Yangians

Orateur: Wei Li

15:30 → 16:00 Coffee break

16:00 → 17:30 Discussion session

vendredi 29 septembre

09:00 → 09:30 Contributed talk 1

Orateur: Frédéric Chapoton

09:30 → 10:00 Contributed talk 2

Orateur: Piotr Sułkowski

10:15 → 10:45 Coffee break

10:45 → 12:00 Contributed talk 3

Orateur: Piotr Kucharski

12:15 → 14:00 Lunch