Lagrangian Correspondence for Microlocal Sheaves

Explore the relationship between Lagrangian correspondences and microlocal sheaves in this advanced mathematics seminar from the Joint IAS/PU Symplectic Geometry Seminar. Delve into how Lagrangian correspondences between symplectic manifolds serve as generalizations of symplectomorphisms and examine their role as morphisms in the 2-category of symplectic manifolds under geometric compositions. Learn about the application of the Kunneth formula to show how exact Lagrangian correspondences define bimodules over wrapped Fukaya categories of certain exact symplectic manifolds. Discover the topological model of wrapped Fukaya categories of Weinstein manifolds through the lens of microlocal sheaves, and understand how geometric composition of exact but immersed Lagrangian correspondences aligns with algebraic composition of bimodules. Gain insights into cutting-edge research in symplectic geometry and microlocal analysis through this collaborative work with David Nadler and Vivek Shende, presented by Wenyuan Li from the University of Southern California at the Institute for Advanced Study.