Previous Conferences & Workshops

Abstract: The analytic torsion of a compact Riemannian manifold is a certain invariant which is defined via the Laplace-Beltrami operator. By the Cheeger-Mueller theorem it equals the Reidemeister torsion of that manifold and can therefore often be...

Abstract: Let $R>0$. The R-thin part of a locally symmetric space is defined as the set of points where the R-ball is not isometric to an R-ball in the universal cover. Recently Abert et al. showed that if X is a higher rank symmetric space whose...

Boolean function analysis traditionally studies Boolean functions on the Boolean cube, using Fourier analysis on the group Z_2^n. Other domains of interest include the biased Boolean cube, other abelian groups, and Gaussian space. In all cases, the...

(Joint work with J. Palmer) Suppose that $\phi_t: L \to X, t \in [0,T]$ is a family of Lagrangian immersions flowing under a Maslov flow such as a reverse mean curvature flow, or reverse mean curvature flow coupled to a K\"ahler-Ricci flow as...

Abstract: Let G be a connected reductive group over a p-adic field F and let $\pi$ be an irreducible admissible representation of $G(\overline{F})$. Due to Harish-Chandra, there is a development of the character of $\pi$ near the origin and we can...

Boolean function analysis traditionally studies Boolean functions on the Boolean cube, using Fourier analysis on the group Z_2^n. Other domains of interest include the biased Boolean cube, other abelian groups, and Gaussian space. In all cases, the...

The workshop focused on recent progress in the analytic theory of automorphic forms.
Topics included the trace formula with its relative, local and arithmetic variants, periods and the theta correspondence, and...

We prove the modularity of some two-dimensional residually reducible p-adic Galois representations over Q under certain hypothesis on the residual representation at p. To do this, we generalize Emerton's local-global compatibility result and devise...