The Hodge Filtration by Age and the Spectrum of Du Val Singularities

Explore a 44-minute conference talk by Enrique Becerra from the University of Miami, delivered as part of the "Geometry, Topology, Group Actions, and Singularities in the Americas" conference. Delve into the intricate relationship between the Hodge structure on cyclic homology of convolution algebras for finite groups and the Ito-Reid filtration by age in the McKay correspondence. Discover how these concepts apply to computing the spectrum of Du Val singularities, bridging non-commutative geometry with singularity theory. Gain insights into this active area of study that connects algebraic topology, algebraic geometry, and mathematical physics, fostering collaboration among mathematicians across the Americas.