Relative Calabi-Yau structures and moduli of objects

Speaker:

Tobias Dyckerhoff (University of Bonn)

Date:

Thu, 21/01/2016 - 11:15 - 12:15

Location:

MPIM Lecture Hall [2]

Parent event:

Opening Conference for the Program on Higher Structures in Geometry and Physics [3]

This talk is a report on joint work in progress with Chris
Brav. We introduce the concept of a Calabi-Yau functor between
smooth differential graded categories. Such a structure on the zero
functor $0 \rightarrow B$ recovers Ginzburg's notion of a Calabi-Yau category.
Various features of the resulting theory will be discussed, focussing
on the relationship with shifted symplectic and Lagrangian structures
when passing to moduli of objects.