Title: Igusa stacks and cohomology of Shimura varieties Abstract: Cohomology of Shimura varieties has drawn interest from number theory and representation theory. Following ideas developed by Caraiani-Scholze, Koshikawa, Santos, Hamann-Lee, […]
Title: Introduction to the Nonvanishing Hypothesis for Modular Symbols at InfinityAbstract: By "modular symbols" we will mean the integrals of cohomology classes of an arithmetic group over certain cycles on […]
Title: Highly Connected 7-manifolds, Non-negative Curvature and the Linking FormAbstract: Closed manifolds admitting non-negative sectional curvature are not very well understood and it is, at present, quite difficult to obtain […]
Title: Frobenius-type results on submanifolds and currentsAbstract: The question of producing a foliation of the n-dimensional Euclidean space with k-dimensional submanifolds which are tangent to a prescribed k-dimensional simple vectorfield […]
Title: Locally compact abelian groups
Title: A non-Archimedean characterization of local K-stability.Abstract: Log Fano cone singularities are generalizations of affine cones over Fano varieties. Motivated by the study of canonical metrics on Fano varieties, there is a […]
Title: Fourier Interpolation and the Weil Representation Abstract: In 2017, Radchenko-Viazovska proved a remarkable interpolation result for even Schwartz functions on the real line: such a function is entirely determined […]
Title: Springer resolution and representation theoryAbstract: Given a connected complex reductive group G, I would like to explain how doing geometry on the Springer resolution and the Steinberg variety allows […]
Title: Interpolation for Brill–Noether Curves Abstract: The interpolation problem is one of the oldest problems in mathematics. In its most broad form it asks: When can a curve of a […]
Title: Interpolation for Brill–Noether Curves Abstract: The interpolation problem is one of the oldest problems in mathematics. In its most broad form it asks: When can a curve of a […]
Title: The unipotent categorical local Langlands correspondence. Abstract: I will discuss a conjectural categorical form of the local Langlands correspondence for p-adic groups and establish the unipotent part of such […]