DG Manifolds in Geometry and Physics

2021-01-04 ~ 2021-01-08 267

Dates: 4-8 January 2021

Organizers: Zhuo Chen (Tsinghua), Honglei Lang (China Agricultural Univ), Mathieu Stienon (Pen State), Maosong Xiang (Huazhong UST), Ping Xu (Penn State)

Synopsis: DG manifolds are Z-graded C-manifolds equipped with a homological vector field Q, i.e., a degree +1 derivation on the algebra of functions. DG manifolds are also closely related to BV formalism. The Batalin-Vilkovisky (“BV”) formalism arose in the end of 1970’s/beginning of 1980’s as a tool of mathematical physics designed to define the path integral for gauge theories. BV formalism turned out to be very useful for applications in algebraic topology – invariants of 3-manifolds and knots, Chas-Sullivan string topology, operations on rational cohomology of CW complexes.

This workshop aims to promote interaction between mathematicians and physicists, and groups working in related areas. It will be devoted to gathering together these different approaches to DG manifolds as well as identifying new emerging directions. The program will bring together leading experts and young researchers in these subjects to foster interaction, encourage cross-fertilization between different fields, and to promote the dissemination of the most recent results of current research.