Algebraic Geometry Seminar
Ben Tighe
University of Oregon
Symmetries and vanishing theorems for symplectic varieties
Abstract: 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.
Wednesday April 16, 2025 at 3:00 PM in 636 SEO