University of Hong Kong

Mon 20 Aug 2018, 4:00pm
SPECIAL
Algebraic Geometry Seminar
MATH 126

Noncommutative MatherYau theorem and its applications

MATH 126
Mon 20 Aug 2018, 4:00pm5:00pm
Abstract
We prove that the right equivalence class of a super potential in complete free algebra is determined by its Jacobi algebra and the canonical class in its 0th Hochschild homology represented by the super potential, assuming the Jacobi algebra is finite dimensional. This is a noncommutative version of the famous MatherYau theorem in isolated hyper surface singularities. As a consequence, we prove a rigidity theorem for Ginzburg dgalgebra. I will discuss some applications of these results in three dimensional birational geometry. This is a joint work with Guisong Zhou (1803.06128).
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