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Student Algebraic Geometry Seminar

Hodge theory and numerical invariants of algebraic varieties
Friday, September 24, 2021
3:00-4:00 PM
2866 East Hall Map
When a compact complex manifold is given as the vanishing locus of polynomial equations, its singular cohomology groups possess natural direct-sum decompositions called Hodge structures. These Hodge structures strongly influence the topology of the variety; for instance, their mere existence implies that the odd-degree 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. Speaker(s): James Hotchkiss (UM)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics