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 is part of the celebrated Frobenius theorem: a decomposition in smooth submanifolds tangent to a given vectorfield is feasible (and then the vectorfield itself is […]
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 local K-stability theory characterizing the existence of Ricci-flat K"ahler cone metrics on log Fano cone singularities. In this talk, we aim to give a non-Archimedean […]
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 by its values and those of its Fourier transform at square roots of integers. We give a new proof of this result, exploiting the fact […]
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 one to give a spectral description (i.e. irreducible representations) of the Weyl group of G.
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 given type be passed through a given number of general points? In this two-part talk, we will discuss our recent joint work that completely solves […]
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 given type be passed through a given number of general points? In this two-part talk, we will discuss our recent joint work that completely solves […]
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 correspondence (for characteristic zero coefficient field).
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 correspondence (for characteristic zero coefficient field).
Title: Differential topology for diamonds Abstract: This is a gentle introduction to a new theory assigning Tangent Bundles to many non-classical objects in p-adic geometry, including the period domains and covering spaces that arise naturally when studying the p-adic cohomology of p-adic varieties. We work in Scholze’s category of diamonds, which provides a robust framework […]
Title: Differential topology for diamonds Abstract: This is a gentle introduction to a new theory assigning Tangent Bundles to many non-classical objects in p-adic geometry, including the period domains and covering spaces that arise naturally when studying the p-adic cohomology of p-adic varieties. We work in Scholze’s category of diamonds, which provides a robust framework […]