## Geometry and Topology

•  Wenyuan Li, Northwestern University
•  Lagrangian cobordism functor in microlocal sheaf theory
•  03/01/2022
•  2:00 PM - 3:00 PM
•  C304 Wells Hall
•  Honghao Gao (gaohongh@msu.edu)

In the symplectization of certain contact manifolds (e.g. unit cotangent bundles), given a Lagrangian cobordism between Legendrian submanifolds, we will define a functor between the microlocal sheaf categories with singular support on the corresponding Legendrians. This is expected to be an analogue of the cobordism map of Chekanov-Eliashberg dg algebras and their augmentation categories. Full faithfulness of the functor will imply some long exact sequences. Finally, we will explain an interesting phenomenon about the existence/obstruction of Lagrangian cobordisms between a pair of Legendrian surfaces as an application.

## Contact

Department of Mathematics
Michigan State University