The theory of currents provides a powerful framework for studying geometric and variational problems where classical oriented surfaces are insufficient. Metric currents generalize this theory to space...
The theory of currents provides a powerful framework for studying geometric and variational problems where classical oriented surfaces are insufficient. Metric currents generalize this theory to space...
On a diffusive space-time scaling, density fluctuations behave very differently in extended completely integrable systems with respect to chaotic systems. I will expose some recent results concerning ...
On a diffusive space-time scaling, density fluctuations behave very differently in extended completely integrable systems with respect to chaotic systems. I will expose some recent results concerning ...
A strong geometry with torsion is a Riemannian manifold carrying a metric connection
with closed skew-symmetric torsion. In the seminar I will first review general properties of metric connections...
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...
