Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série SEM-DARBOUX
Domaines hep-th
Date Jeudi 16 Mai 2019
Heure 11:00
Institut LPTHE
Salle bibliothèque du LPTHE, tour 13-14, 4eme étage
Nom de l'orateur Soibelman
Prenom de l'orateur Yan
Addresse email de l'orateur soibel [at] math [dot] ksu [dot] edu
Institution de l'orateur Kentucky State University
Titre Cohomological Hall algebras, refined BPS invariants and vertex algebra at the corner
Résumé 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.
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