Johns Hopkins UniversityEST. 1876
America’s First Research University
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Title: Weighted Fourier Extension EstimatesAbstract: In this talk, we will survey recent results on weighted Fourier extension estimates and its variants. Such estimates ask for L^2 bounds of the Fourier extension operator on $alpha$-dimensional sets, and they have applications to several problems in PDEs and geometric measure theory, including size of divergence set of Schrodinger […] |
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Title: Webs, pockets, and buildingsAbstract: Kuperberg’s SL(3) non-elliptic web basis consists of certain trivalent planar graphs. Fontaine--Kamnitzer--Kuperberg showed that their duals may be realized as subcomplexes of a corresponding rank 2 affine building. The result is a collection of CAT(0) triangulated surfaces related to the geometric Satake correspondence. Recently, an SL(4) web basis was introduced […] |
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Title: Cuspidal Sheaves on the Stack of L-Parameters Abstract: I will talk about my work in progress with Teruhisa Koshikawa defining a category of cuspidal sheaves on the moduli space of L-parameters for a p-adic group. Such a category is motivated by the categorical Langlands conjecture of Fargues and Scholze. I will explain the structure […] |
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Title: Splitting a manifold with (spectral) Ricci lower boundsAbstract: In this talk, I will discuss the geometry of smooth complete manifolds where the first eigenvalue of the operator −γΔ + Ric, for γ > 0, is bounded from below. Here, Ric denotes the (pointwise) lowest eigenvalue of the Ricci tensor. This condition is weaker than […] |
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Title: Numbers are political: a discussion of mathematics, advocacy, and American politics Abstract: Politics, policy and advocacy are seldom seen as traditional career paths for a mathematician in today's world. This is in part because mathematics is primarily focused on abstraction, but also reflects the sometimes insular culture of the community formed around mathematical research. Nevertheless, […] |
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