ABSTRACT |
In the mirror symmetry, it is known that some Fukaya type categories of symplectic manifolds are (derived-)equivalent to some quiver representation categories. For example, the partially wrapped Fukaya category of A_n Milnor fiber is equivalent to A_n quiver representation category. We introduce the new type of Fukaya categories related to singularities and explain the example for D_n case. In this case, this equivalence gives a geometric way to describe the Auslander-Reiten quiver for D_n quiver representations. This talk is based on the joint work (in progress) with Cheol-hyun Cho (SNU). (Zoom: meeting ID: 814 3164 8719, password: 200) |