Семинар «Теория категорий и её приложения»: Крис Брав
Мероприятие завершено
Семинар «Теория категорий и её приложения» состоится в 8 декабря в 15:30 в аудитории 306
На семинаре выступит Крис Брав с докладом «Functions on moduli spaces from cyclic homology, part II»
Аннотация: We discuss the 'moduli of objects' MD in a dg category D and construct a map from cyclic homology of D to functions on the moduli space MD. When D is a smooth, oriented dg category ('Calabi-Yau'), the cyclic homology HC(D) is endowed with a shifted Lie bracket ('algebraic string bracket') and the functions on MD are endowed with a shifted Poisson bracket. We show that the map from cyclic homology to functions entwines the brackets. Examples include the Goldmann bracket of free loops on a surface, the string bracket of Chas-Sullivan, and the Hitchen system for Higgs bundles. This is joint work very much in progress with Nick Rozenblyum.
На семинаре выступит Крис Брав с докладом «Functions on moduli spaces from cyclic homology, part II»
Аннотация: We discuss the 'moduli of objects' MD in a dg category D and construct a map from cyclic homology of D to functions on the moduli space MD. When D is a smooth, oriented dg category ('Calabi-Yau'), the cyclic homology HC(D) is endowed with a shifted Lie bracket ('algebraic string bracket') and the functions on MD are endowed with a shifted Poisson bracket. We show that the map from cyclic homology to functions entwines the brackets. Examples include the Goldmann bracket of free loops on a surface, the string bracket of Chas-Sullivan, and the Hitchen system for Higgs bundles. This is joint work very much in progress with Nick Rozenblyum.
Дата
8 декабря
15:30
Адрес
Усачёва 6, ауд. 306
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