Speaker: | Kazushi Ueda (Osaka University) |
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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. |