Derived Poisson structures and derived representation schemes

[Math. Dept.]

December 26, 2018  16:00-17:00

E409  School of Mathematics

[seminar]20181226Yining Zhang-01.png

SPEAKER

Yining Zhang (Indiana University)

ABSTRACT

Poisson structures appear naturally in many areas of mathematics. In 2005, Crawley-Boevey proposed the notion of an $H_{0}$-Poisson structure, which is a noncommutative generalization of Poisson structure. In this talk, we will focus on the higher homological extension of the $H_{0}$-Poisson structure: derived Poisson structure. In particular, we will talk about the relations between (cyclic) derived Poisson structures and derived moduli spaces parametrizing representations of associative algebras and Lie algebras. If time permits, I will talk about an operadic generalization. 

SUPPORTED BY

School of Mathematics, Sichuan University

LECTURE NOTES

TMCSC181226a_Yining Zhang_Derived Poisson structures and derived representation schemes