| Speaker: | Atsushi Kanazawa (Kyoto U) |
|---|---|
| Title: | Tyurin conjecture and SYZ mirror symmetry |
| Date (JST): | Mon, Nov 28, 2016, 13:15 - 14:45 |
| Place: | Seminar Room B |
| Related File: | 1786.pdf |
| Abstract: |
I will discuss Tyurin conjecture from the view point of SYZ mirror symmetry. Given a degeneration of a Calabi-Yau manifold into a union of two Fano manifolds intersecting along their common anti-conical divisor, Tyurin conjecture in general claims certain relations between geometry of the Calabi-Yau manifold and that of the limit Fano manifolds. Recently a version of this conjecture for mirror symmetry was formulated by Doran-Harder-Thompson. It claims that one can "glue" the mirror Landau-Ginzburg models for the limit Fano manifolds to obtain a Calabi-Yau manifold, which is mirror to the original Calabi-Yau manifold. I will confirm their conjecture in the 1-dimensional case, using an idea from SYZ mirror symmetry. |
