Title: The integral converse theorem and no-shadowing bounds for polynomials and L-functions Abstract: I will outline an alternative argument for the complex-analytic ingredient of the "unbounded denominators theorem" joint with […]
Title: On linear and non-linear stability of collisionless systems on black hole exteriors. Abstract: I will present upcoming linear and non-linear stability results for collisionless systems on spherically symmetric black holes. On the […]
Title: Constructing (infinity,n)-categories with desired properties Abstract: In this talk I want to describe a specific example of a symmetric monoidal (infinity,3)-category of generalized spans with local systems (a la […]
Plancherel formula 1
Title: Three theorems about asymptotic expansions of harmonic functions at the boundaryAbstract: Consider a harmonic function on a domain, vanishing along a part of its boundary, and a point on […]
Title: On the generalized Beauville decomposition.Abstract: Over 30 years ago, the work of Beauville and Deninger-Murre endowed the cohomology of an abelian scheme a (motivic) decomposition which splits the Leray filtration. This […]
Title: Huber pairs
Title: Calculus of fractions for quasicategories Abstract: A central object of interest in abstract homotopy theory is the localization of marked categories. One case of interest is when the marked […]
Title: Torsion vanishing for some Shimura varietiesAbstract: We will discuss joint work with Linus Hamann on generalizing the torsion-vanishing results of Caraiani-Scholze and Koshikawa for the cohomology of Shimura varieties. We […]
Title: The inverse spectral problem for ellipses Abstract: This talk is about Kac‘s inverse problem from 1966: "Can one hear the shape of a drum?" The question asks whether […]
Title and abstract TBA