EVENT DETAILS AND ABSTRACT

Title: Weinstein presentations and K-theory
Speaker: Oleg Lazarev
Speaker Info: Columbia University
Brief Description: Research talk
Special Note:
Abstract:

Weinstein domains are the symplectic analogs of smooth handle-bodies and their presentations can be modified by handle-slides and handle creation/cancellation as in the smooth setting. I will show how to construct minimal presentations for Weinstein domains and give examples of different Legendrian knots producing the same Weinstein domain. I will also explain how these presentations are related to the algebra of the wrapped Fukaya category and its Grothendieck group. In particular, the rank of the Grothendieck group is bounded by the rank of singular cohomology and there is a symplectic interpretation of a theorem of Thomason about subgroups of the Grothendieck group and split-generating subcategories.