|Speaker:||Masahiro Futaki (Univ. Tokyo)|
|Title:||Homological mirror symmetry for toric Fano stack and suspension for directed Fukaya categories|
|Date (JST):||Mon, Jun 21, 2010, 14:00 - 17:00|
|Place:||Seminar Room A|
In the first part we discuss homological mirror symmetry for toric Fano variety and then extend it to the local mirror version.
Especially we explain Seidel's suspension theorem, which plays the key role in computing the Fukaya category. This is based on joint work with Kazushi Ueda.
We introduce a generalization of the suspension theorem for directed Fukaya category and discuss its relation to the homological algebra of A-infinity categories. This is also related to Auroux-Katzarkov-Orlov's conjecture on homological mirror symmetry for the product.