Speaker
Dogancan Karabas
Description
Given any finite quiver Q, where each vertex corresponds to a fixed Lagrangian $L_v$, I will describe an associated symplectic manifold known as the plumbing of $T^*L_v$'s along Q. Using a local-to-global approach, I will explain how their wrapped Fukaya category can be expressed as a Ginzburg dg algebra with based loop space coefficients or a derived multiplicative preprojective algebra. In the second part of my talk, I will demonstrate that microlocal sheaves on the union of $L_v$'s recover the compact Fukaya category of the plumbing, generalising the Nadler-Zaslow correspondence for cotangent bundles. The first part is joint work with Sangjin Lee (arXiv:2405.10783), and the second part is ongoing work with Sangjin Lee and Wonbo Jeong.
