Penn Arts & Sciences Logo

Math-Physics Joint Seminar

Tuesday, March 29, 2011 - 3:00pm

Alexander Efimov

Steklov Mathematical Institute

Location

University of Pennsylvania

DRL 3C8

We will recall Cohomological Hall algebras (COHAs) introduced by Kontsevich and Soibelman and describe the structure of COHA of a symmetric quiver, proving Kontsevich-Soibelman conjecture. This is a recent preprint arXiv:1103.2736. We will also explain how this implies Kac's conjecture for quivers with enough loops, as it was shown by S. Mozgovoy.