In analytic number theory one needs to bound sums of oscillating functions, such as the Mobius function. Over function fields these are trace functions of sheaves, so their sums are controlled, in vie...
I will review some recent developments about the 2D classical Ising model focusing on the method of Kac and Ward. In joint work with Daniel Ueltschi, we have extended this method to systems with negat...
Nonlocal minimal surfaces are the fractional counterpart of the classical minimizers of the perimeter functional. A special subclass is given by nonlocal minimal graphs, namely nonlocal minimal surfac...
Optimal transport is the general problem of moving one distribution of mass to another one as efficiently as possible, typically keeping track of the ambient geometry. In this seminar I will present r...
I'll discuss commuting varieties and a new upper bound for the density of pairs of commuting n x n matrices with integer entries. Our approach uses Fourier analysis and reduction modulo a suitably cho...
In this talk, I will present some recent results on convergence rates for time discretisation schemes for semi-linear stochastic evolution equations with additive or multiplicative Gaussian noise, whe...
I will present some integral representation results for the lower semicontinuous envelopes of integral functionals defined in the spaces of functions with 'generalized' bounded variation. The talk is ...
The simple exclusion process is one of the most prominent models of interacting particle systems. In this seminar, we consider a resistor network whose nodes are sampled according to a simple point pr...
We study some deterministic Mean Field Games problems with finite
horizon where the players are constrained to remain in a network. Here,
a network is given by a finite collection of vertices connecte...
In this talk, I will present recent joint work with S. Matsumura, J. Wang, and X. Wu on the structure of compact Kähler manifolds whose anti-canonical bundle is nef. We establish a general structure t...
The effective management and positioning of satellite constellations are critical to ensuring optimal performance and communication capabilities in space missions. This research focuses on developing ...
In this talk, I will present two machine learning models for the automatic recognition of granulomas within images acquired from in vitro experiments, while addressing the challenge of inter-annotator...
