Maxence Mayrand (Université de Sherbrooke)
Title: Shifted coisotropics and Moore-Tachikawa topological quantum field theories.
Abstract: In recent years, differential geometry has benefited greatly from interacting with derived algebraic geometry. One way to connect these fields is by viewing Lie groupoids up to Morita equivalences as stacks, providing differential geometry with powerful new insights. This fruitful interaction has notably been seen through shifted symplectic geometry, a far-reaching generalization of symplectic geometry on derived algebraic stacks with applications to quantum field theory. In this talk, we translate the notion of coisotropics on shifted symplectic stacks into the differential-geometric language of Lie groupoids and discuss some of its implications. In particular, we reformulate and generalize certain two-dimensional topological quantum field theories that were conjectured to exist by Moore and Tachikawa, and whose target category has Lie groups as objects and complex affine Poisson varieties as arrows.
Location: in person at UQAM PK-5675
or online at Zoom meeting 86352363947