Date: Friday, September 24, 2021
Location: 2866 East Hall (3:00 PM to 4:00 PM)
Title: Hodge theory and numerical invariants of algebraic varieties
Abstract: When a compact complex manifold is given as the vanishing locus of polynomial equations, its singular cohomology groups possess natural directsum decompositions called Hodge structures. These Hodge structures strongly influence the topology of the variety; for instance, their mere existence implies that the odddegree cohomology groups have even rank. I will explain what these structures are and how they lead to nice discrete invariants of algebraic varieties, such as Hodge numbers and Hodge diamonds. I will also discuss connections to the Grothendieck ring of varieties.
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Speaker: James Hotchkiss
Institution: UM
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