Algebraic Geometry Seminar: Symmetries and vanishing theorems for symplectic varieties, by Ben Tighe
April 16, 2025
3:00 PM - 3:50 PM
Ben Tighe (University of Oregon): Symmetries and vanishing theorems for symplectic varieties
I will discuss some vanishing results for symplectic varieties which generalize the rational and Du Bois properties for singularities. These vanishing theorems arise from Hodge-theoretic symmetries on the Du Bois and intersection cohomology complex which generalize the extra symmetries you see on the Hodge diamond of a compact hyperkahler manifold. Along the way, I will discuss why these vanishing theorems are related to the existence of symplectic resolutions of singularities, new perspectives in deformation theory, and the LLV algebra.
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Date posted
Apr 14, 2025
Date updated
Apr 14, 2025
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