MS Seminar (Mathematics - String Theory)

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
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.