Andras Szenes- Intersection Cohomology of the Moduli Spaces of Stable Bundle II

Delve into a comprehensive lecture on the intersection cohomology of moduli spaces of stable bundles in this second installment of the Consortium Distinguished Lecture Series. Explore the topological concept of intersection cohomology, designed to describe singular topological spaces, and learn about the crucial Decomposition Theorem for maps. Trace the historical development of this field from Frances Kirwan's work in the 1980s to recent advancements. Examine the complete description of these structures through a detailed analysis of the Decomposition Theorem applied to a specific map, as presented in joint research with Camilla Felisetti and Olga Trapeznikova. Discover a new formula for calculating intersection Betti numbers of moduli spaces, offering clear geometric insights. Gain a thorough introduction to the subject and its latest findings in this advanced mathematical exploration led by Andras Szenes from BME Institute of Mathematics.