Past Events
(joint work with Eunsu Hur) Fargues and Scholze give a geometric construction of L-parameters attached to smooth irreducible representations of p-adic groups. They furthermore predict an enhancement to a category equivalence, following the philosophy of the geometric Langlands program. I will…
Examples of patchworking (Section 2.3.3–4 of [IMS09]), if time permits, dealing with non-convex triangulations (Section 2.3.5 of [IMS09])
We will finish our discussion of recent work of Guth and Maynard on large values of Dirichlet polynomials.
Many MCMC methods either rely on gradients – such as the No-U-Turn Sampler (NUTS) – or struggle with multi-scale distributions, where different regions require vastly different exploration strategies. NURS is a new locally adaptive MCMC method that overcomes these…
Abstract: A slope p/q is characterizing for knot K if the resulting Dehn surgery determines K up to isotopy. Generalizing a question of Baker and Motegi, McCoy conjectured that for any knot, non-integral slopes p/q with |p|+|q| sufficiently large are characterizing. An advance towards this…
Last passage percolation (LPP) is a model of random geometry where the main observable is a directed path evolving in a random environment. When the environment distribution has light tails and a fast decay of correlation, the random fluctuations of LPP are predicted to be explained by the…
Given two four-dimensional symplectic manifolds, together with knots in their boundaries, we define an ``anchored symplectic embedding'' to be a symplectic embedding, together with a two-dimensional symplectic cobordism between the knots (in the four-dimensional cobordism determined by the…
Eigenvarieties are parameter spaces of certain p-adic automorphic forms of varying weights. Part of the p-adic Langlands program aims to relate eigenvarieties to spaces of trianguline Galois representations. For definite unitary groups, this connection has been…
We study the renormalization group method and its applications in probability theory.
Introduction to the compressible Euler equations and local wellposedness in the framework of symmetric hyperbolic systems.