Seminar

DT invariants of symmetric quivers and the Koszul duality theory

Higher algebraic structures in algebra, topology and geometry

17 February 14:15 - 16:00

Vladimir Dotsenko (Online) - University of Strasbourg

For each symmetric quiver, Kontsevich and Soibelman defined a collection of rational numbers, the "refined Donaldson-Thomas invariants". They conjectured that those numbers are in fact non-negative integers, which was first proved by Efimov. In this talk, I shall explain a new approach to studying these numbers, inspired by various aspects of the Koszul duality theory for associative algebras. In particular, this approach leads to a new family of quadratic algebras which are conjectured to be Koszul and are proved to satisfy the "numerical Koszulness" criterion. This is a joint project with Evgeny Feigin and Markus Reineke, partially relying on my recent work with Sergey Mozgovoy.

 

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Organizers
Gregory Arone
Stockholm University
Tilman Bauer
KTH Royal Institute of Technology
Alexander Berglund
Stockholm University
Søren Galatius
University of Copenhagen
Jesper Grodal,
University of Copenhagen
Thomas Kragh
Uppsala University

Program
Contact

Alexander Berglund

alexb@math.su.se

Søren Galatius

galatius@math.ku.dk

Thomas Kragh

thomas.kragh@math.uu.se

Other
information

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