Past Events
Put n balls, with weights w(1),...,w(n) into an urn. Draw them out, one at a time, each time picking a ball with chance its weight, relative to what's left. This generates a random permutation and one can ask 'what does it 'look like'. The model is used by psychologists, to settle hands in poker…
Llarull proved that the round n-sphere is extremal, meaning that one cannot simultaneously increase both its scalar curvature and its metric. Goette and Semmelmann generalized this result to spin maps f:M→N of nonzero Â-degree onto certain Riemannian manifolds with nonnegative curvature operator…
Given a compact hyperbolic surface of fixed topology, we consider its Laplace eigenvalues together with the structure constants for multiplication with respect to a suitable orthonormal basis of automorphic forms. These numbers obey algebraic constraints analogous to the conformal bootstrap…
I will consider long-time effects caused by perturbations of diffusion processes, in particular of dynamical systems. If the system has some conservation laws, they can be broken by the perturbations. Long- time motion of the perturbed system can be described, under…
Skein lasagna modules have become a popular tool in the study of 4-dimensional topology. The original paper of Morrison-Walker-Wedrich rather focuses on the theoretical aspects of Khovanov homology. In particular, they improve the functoriality of Khovanov homology from R^3 to S^3, and from…
In this talk, we will consider the model of random walks in a space-time random environment, which can be thought of as a discrete model for diffusing particles in a time-dependent random medium. We will study the scaling limits of these models in certain moderate deviation scaling regimes for…
Euler systems -- organized collections of Galois cohomology classes for arithmetically interesting p-adic Galois representations -- have been a useful tool for establishing the conjectured relation between special values of L-functions and the ranks and orders of Selmer groups when they exist.…