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 […]
Title: Coherence for pseudo symmetric multifunctors and applications to $K$-theoryAbstract: Multicategories where introduced by Elmendorf and Mandell in homotopy theory as an alternative way to encode multiplicative structures in the absence of symmetric monoidal structures. In a sense, they allow us to talk about multilinear maps even when we can't talk about tensor products. This […]
Title: Singularities in minimal submanifoldsAbstract: In the last few years there have been significant developments in techniques used to understand singularities within minimal submanifolds. I will discuss this circle of ideas and explain how they enable us to reconnect the study of geometric singularities with more classical PDE techniques, such as those used in unique continuation.
Title: On cohomology of BG.Abstract: Cohomology of classifying space/stack of a group G is the home which resides all characteristic classes of G-bundles/torsors. In this talk, we will try to explain some results on Hodge/de Rham cohomology of BG where G is a p-power order commutative group scheme over a perfect field of characteristic p, in terms of […]