|Speaker:||Atsushi Kanazawa (Kyoto U)|
|Title:||Tyurin conjecture and SYZ mirror symmetry|
|Date:||Mon, Nov 28, 2016, 13:15 - 14:45|
|Place:||Seminar Room B|
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.