Statut  Confirmé 
Série  MATHIHES 
Domaines  hepth 
Date  Mardi 19 Juin 2018 
Heure  11:00 
Institut  IHES 
Salle  Centre de conférences Marilyn et James Simons 
Nom de l'orateur  Soibelman 
Prenom de l'orateur  Yan 
Addresse email de l'orateur  
Institution de l'orateur  Kansas State University & IHES 
Titre  Cohomological Hall algebras, vertex algebras and instantons 
Résumé  The notion of Cohomological Hall algebra (COHA) was introduced in our joint paper with Maxim Kontsevich 10 years ago. It can be thought of as a mathematical incarnation of the notion of BPS algebra envisioned by physicists Harvey and Moore in the 90's. Mathematically, COHA is an associative algebra structure on the cohomology of the moduli stack of objects of a 3dimensional CalabiYau category with coefficients in a certain constructible sheaf. Interesting categories can be of geometric or algebraic origin (sheaves on CalabiYau 3folds, quivers with potential, etc.). In the talk I plan to discuss actions of COHA on the cohomology of certain instanton moduli spaces (spiked instantons of Nekrasov). This gives a relationship of COHA with affine Yangians and more recent "vertex algebras at the corner" introduced by Gaiotto and Rapcak. 
Numéro de preprint arXiv  
Commentaires  
Fichiers attachés 
Pour obtenir l' affiche de ce séminaire : [ Postscript  PDF ]

[ English version ] 