We discuss the unique continuation property for linear differential operators of the form sum of squares of vector fields satisfying Hörmander's bracket generating condition. We provide some negative ...
Building on previous work by Davis and Lück, and recent constructions of bivariant K-theory as a stable \(\infty\)-category, I will sketch the construction of a Chern character running from groupoid-e...
In this talk we give an overview of the geometry of moduli spaces of shtukas for the general linear groups GL(n). These moduli spaces have been instrumental in the work of Drinfeld and Lafforgue on th...
Schrödinger-type equations model a lot of natural phenomena and their solutions have interesting and important properties. This gives rise to the search for normalised solutions, i.e., when the mass i...
Lattice Yang-Mills theories are important models in particle physics. They are defined on the d-dimensional lattice Z^d using a group of matrices of dimension N, and Wilson loop expectations are the f...
Lo scopo di questo talk è di definire e studiare certe classi di Brauer in caratteristica positiva che si possono costruire dalle forme differenziali. Dopo aver spiegato la costruzione e le prime prop...
I will discuss the rigorous derivation of hydrodynamic limits of the Boltzmann multi-species equation, for Mach and Knudsen numbers vanishing at the same rate. Solutions to the kinetic system are cons...
For a quasilinear equation involving the n−Laplacian and an exponential nonlinearity, I will discuss quantization issues for blow-up masses in the non-compact situation, where the exponential nonlinea...
We present some recent results concerning elliptic and evolution problems driven by mixed operators, which are the sum of local and nonlocal ones under a peridynamical approach, as introduced by Silli...
An interacting many-particle quantum system can be drastically affected by a change in the magnitude of one-particle tunneling across a potential barrier. The results which we will present are part of...
The Lott-Sturm-Villani theory of CD(K, N) metric measure spaces satisfying Ricci curvature lower bounds in a synthetic sense via optimal transport, though extremely successful, has been shown not to d...
