Abstract: Given an alphabet, which can be infinite, we consider subshifts defined by a set of forbidden words as a combinatorial object and define algebras associated with them. When the alphabet is f...
Domain walls are topological solitons that appear in many
physical systems (phase transitions, condensed matter etc). They
represent transition layers between two states corresponding to the
wells of ...
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...
The Frenkel-Kontorova model is a standard model in condensed matter physics describing particles having nearest-neighbor spring-like interactions. Mathematical analysis of this model leads to studying...
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...
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...
Following the seminal works of Feruglio, Ding and Liu on modular symmetries in particle physics, the Siegel upper half-space has emerged as a natural framework for constructing predictive models of fe...
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 ...
After a brief introduction to quadratic fields, we will define their class number and we will explain some techniques to bound it.
We will also improve a result from 1971 by Yamamoto....
The classification of complex, nodal cubic threefolds goes back to Corrado Segre. In the first part of the talk Segre's beautiful description is reviewed, even including some historical remarks. Some ...
