Past Events

Dynamical systems are inevitably subject to noise perturbations, making the study of the stability issues under noise perturbations a fundamental problem. Often used to characterize the complexity of dynamical behaviours, invariant measures...

Given a convex solid in 3D space, how many light sources do we have to place around it in order to illuminate its entire surface? What is the minimum number that works? We call this number the illumination number of the solid, and perhaps a bit...

Counting the number of eigenvalues of Schrödinger operators is a crucial task in quantum mechanics. The typical heuristic from physics is that to leading order this should be given by the phase space volume. Unfortunately, this can already fail for...

I will briefly introduce the notion of formality for differential graded Lie algebras, and the role it plays in deformation theory. I will then discuss some geometric applications obtained in a joint work with Claudio Onorati.

A result of Rademacher is that on the Riemann hypothesis, the positive ordinates of the nontrivial zeros of the Riemann zeta function, that is, the γ with γ>0, are uniformly distributed modulo one. This talk will be on a recent conditional result of...

For every $k\ge 2$ and $\Delta$, we prove that there exists a constant $C_{\Delta,k}$ such that the following holds. For every graph $H$ with $\chi(H)=k$ and every tree with at least $C_{\Delta,k}|H|$ vertices and maximum degree at most $\Delta$, the...

I report recent progress on heat kernel estimates for reflected diffusion on uniform domains where the underlying space admits sub-Gaussian heat kernel bounds. A key novelty of our work is the use of an extension operator that extends functions from...

In this seminar, we have seen that problems in deformation theory are often controlled by differential graded Lie algebras (dgla). For example, in Martin's talk, we saw how the deformations of an associative algebra are controlled by a dgla structure...

Animal tissues exhibit complex spatial architectures that emerge from cell-cell interactions. For instance, transitions between individual cells and multicellular groups occur widely in embryonic development, wound healing, and tumor progression...

Given two isomorphic groups G and H, one may identify representations of H with representations of G along some fixed isomorphism from G to H. However, this process of identifying representations depends crucially on the isomorphism of groups one...