Structural results in wrapped Floer theory

Speaker


John Pardon (Harvard University)
Date
Fri January 18th 2019, 3:30pm
Location
Bldg 380 Room 384H
MRC Event Series

Abstract: I will discuss results relating different partially wrapped Fukaya categories.  These include a K\"unneth formula, a `stop removal' result  relating partially wrapped Fukaya categories relative to different stops, and a gluing formula for wrapped Fukaya categories.  The techniques also lead to generation results for Weinstein manifolds and for Lefschetz fibrations.  The methods are mainly geometric, and the key underlying Floer theoretic fact is an exact triangle in the Fukaya category associated to Lagrangian surgery along a short Reeb chord at infinity.  This is joint work with Sheel Ganatra and Vivek Shende.

You can learn more about Professor John Pardon at http://web.math.princeton.edu/~jpardon/