EVENT DETAILS AND ABSTRACT

Title: Homotopy colimit of dg categories, wrapped Fukaya categories, and lens spaces
Speaker: Dogancan Karabas
Speaker Info: Northwestern University
Brief Description:
Special Note:
Abstract:

Ganatra, Pardon, and Shende introduced a way to compute wrapped Fukaya categories of Weinstein domains by taking the homotopy colimit of wrapped Fukaya categories of their sectorial coverings. However, homotopy colimits are hard to compute in general. In this talk, I will describe a practical formula for homotopy colimit when the categories are presented as semifree dg categories. As an application, I will show that the wrapped Fukaya category detects homotopy type of lens spaces. If time permits, I will talk about other applications of the formula, such as the calculation of wrapped Fukaya category of plumbing spaces. This is joint work with Sangjin Lee.