Speaker
Sarah Scherotzke
(University of Luxembourg)
Description
We can construct oriented topological extended field theories using the AKSZ construction in derived algebraic geometry. This was first suggested by Panted-Toen-Vaque-Vezzosi and accomplished by Calaque-Hausend-Scheimbaur. The AKSZ construction is a version of the classical AKSZ filed theories in physic. In [CHS] it is given as a symmetric monoidal functor from a higher category of oriented stacks to a higher category of symplectic stacks. We will give a non-commutative version of this construction, which associates to every finite dg category a symmetric monoidal functor with target a higher category of n-Calabi-Yau categories, refining the commutative version of the AKSZ construction.
