Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-DARBOUX
Subjects hep-th
Date Thursday 16 May 2019
Time 11:00
Institute LPTHE
Seminar Room bibliothèque du LPTHE, tour 13-14, 4eme étage
Speaker's Last Name Soibelman
Speaker's First Name Yan
Speaker's Email Address soibel [at] math [dot] ksu [dot] edu
Speaker's Institution Kentucky State University
Title Cohomological Hall algebras, refined BPS invariants and vertex algebra at the corner
Abstract Cohomological Hall algebras (COHAs for short) were introduced in 2010 in my joint work with Maxim Kontsevich. They can be thought of as mathematical incarnations of ``multiparticle BPS algebras" of 3-dimensional Calabi-Yau manifolds (more generally, 3- dimensional Calabi-Yau categories). After discussion of basic definitions I plan to overview an application of COHA to the generalization of AGT conjecture which provides an action of Gaiotto-Rapcak vertex algebra at the corner on the equivariant Borel-Moore homology of the moduli space of Nekrasov's spiked instantons.
arXiv Preprint Number

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