Derived category, Mirror symmetry and McKay correspondence seminar (DMM seminar)

Speaker: Kazushi Ueda (Osaka University)
Title: Dimer models and exceptional collections(Part 1) Tropical coamoebas and A-infinity categories(Part 2)
Date (JST): Mon, May 10, 2010, 14:00 - 17:00
Place: Seminar Room A
Abstract: Part 1 (60 min)
This is based on joint work with Masahito Yamazaki and Masahiro Futaki. In the first part, I will introduce a tropical coamoeba
as a combinatorial object which encode the information of the Fukaya-Seidel category of the mirror of a toric Fano stack, and discuss its role in a torus-equivariant version of Kontsevich's homological mirror symmetry conjecture.

Part 2 (90 min)
In the second part, we discuss A-infinity categories associated with tropical coamoebas. In contrast to the first part where the main focus is on the symplectic side of the story, I plan to discuss the relation with the derived category of quiver representations in some detail.
Remarks: we hava a break at 15:00-15:30.