Date: Friday, February 24, 2017
Location: 2866 East Hall (4:00 PM to 5:30 PM)
Title: Grothendieck Ring of varieties and derived equivalence of varieties.
Abstract: I will discuss a conjecture of A. Kuzntesov and E. Shinder that asserts that the difference [X][Y] of the classes of two algebraic varieties whose derived categories of coherent sheaves are equivalent must be annihilated by some power of the class of the affine line. I will explain two examples involving K3 surfaces of degree 8 and 12 where this conjecture has been verified.
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Speaker: Igor Dolgachev
Institution: UM
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