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In the last several years, it has been realized that the local Langlands correspondence has a categorical formulation, with variants given independently by Emerton and Helm, Fargues and Scholze, Hellmann, and Zhu. All of these approaches essentially postulates an equivalence of categories, with…
In this talk I will introduce Renormalized volume as a quantity of both mathematical interest (e.g. conformal invariant) and physical interest (…
We use a relationship between Heegaard Floer homology and the symplectic Floer homology of surface diffeomorphisms to partially characterize knots with the same knot Floer homology as the torus knot T(2,5). We then combine this with classical results on the dynamics of surface homeomorphisms,…
LLT polynomials, originally known as ribbon functions, are a q-analogue of products of Schur polynomials. Sharing many of the same properties as Schur polynomials--they are symmetric, satisfy Cauchy identities, and can…
This is joint work with Paul Bourgade and Benjamin McKenna (Courant Institute, NYU).
In this talk, we celebrate Giorgio Parisi’s 2021 Nobel Prize and come back to an important model Giorgio Parisi introduced with Marc Mezard in 1992.
The elastic manifold model is a paradigmatic…
The size Ramsey number of a graph H…
384I