Geometry/Physics Seminar

Title: Homological mirror symmetry for elementary birational cobordisms
Speaker: Gabriel Kerr
Speaker Info: Kansas State University
Brief Description:
Special Note:

It has been known since Bondal and Orlov's work on semi-orthogonal decompositions that for blow-ups, projective bundles and certain flips $f: X \to Y$, one may decompose the derived category of $D(X) = \langle C, D(Y) \rangle$. In this talk I will describe the mirror LG model to $C$ when $f$ is an elementary birational cobordism. Diemer-Katzarkov-K. conjectured that this was a Fukaya-Seidel category $\mathit{FS} (W)$ of a potential $W$ from a higher dimensional pair of pants to the punctured plane. I will explain a recent proof of this conjecture. The classical version of HMS for weighted projective spaces of arbitrary dimension then will be observed as a corollary.
Date: Thursday, May 05, 2016
Time: 1:00pm
Where: Lunt 107
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