I will describe a recent result in collaboration with M. Fortuna and E. Spadaro, based on a model introduce by Lauteri and Luckhaus for the analysis of small angle grain boundaries in crystals. The la...
In this talk I will report on a joint work in progress with E. Fatighenti, in which we study some special vector bundles on the Fano variety of lines of a cubic fourfold. We will see that these bundle...
We model the uncertainties in (random) coefficient functions of an elliptic partial differential equation by expanding these coefficients as function series with scalar random coefficients. This gives...
The idea of moduli space is quite intuitive, you have surely encountered it multiple times. We will present a general overview of moduli spaces in an algebraic context, stressing the categorical point...
In questo seminario presenterò alcuni problemi di ottimizzazione di forma per equazioni ellittiche con condizioni al bordo di tipo Robin. Problemi di questo tipo, nel caso di condizioni di tipo Dirich...
Like many discrete statistical mechanics models, stochastic PDEs can exhibit a “critical dimension” beyond which their large-scale behaviour is expected to be trivial (i.e. governed by Gaussian fluctu...
I will report on a joint work with Amine Marrakchi. Since the early days of Tomita-Takesaki theory, it is known that a von Neumann algebra that admits a state with trivial centralizer must be a type I...
We investigate the massive Sine-Gordon model in the finite ultraviolet regime on the two-dimensional Minkowski spacetime with an additive Gaussian white noise. In particular we construct the expectati...
The aim of this seminar is to highlight the combinatorial aspects that arise from studying the compactifications of the moduli space of smooth curves. We will provide an overview of the construction o...
I will first present a convergence result for solutions of Allen-Cahn type systems with a multiple-well potential involving the usual fractional Laplacian in the regime of the so-called nonlocal mini...
