In this talk we study certain moduli spaces of semistable objects in the Kuznetsov component of a cubic fourfold. We show that they admit a symplectic resolution $\tilde M$ which is a smooth projective hyperkaehler manifold deformation equivalent to…
Eventi
Aging in the Edwards-Wilkinson and KPZ universality classes – Tal Orenshtein (Berlin)
Aging is an asymptotic property of non-equilibrium dynamical systems that captures non-trivial relaxation time temporal change; a canonical formulation is expressed in terms of the correlations of the system at two large times with a fixed relation.…
Liouville type theorems and local behaviour of solutions to degenerate or singular problems – Susanna Terracini (Università di Torino)
We consider an equation in divergence form with a singular-degenerate weight \[ -\mathrm{div}(y^a A(x,y)\ abla u)=y^a f(x,y,u)\; \quad\textrm{or}\; \textrm{div}(y^aF(x,y,u))\;, \] We first study the regularity of the nodal sets of solutions in the…
Stacks, blowing up and resolution – Dan Abramovich (Brown University)
I will describe a class of stack-theoretic modifications, and sketch how they are applied in resolution of singularities. This is a concrete exposition of work with Temkin and Wlodarczyk and of work of Quek.…
Cusps of Hyperbolic 4-Manifolds and Rational Homology Spheres – Leonardo Ferrari (Università di Pisa)
By Margulis’ Lemma, a finite-volume complete hyperbolic n-manifold has a finite number of ends called cusps, each of which is diffeomorphic to the product of a flat (n-1)-manifold with the half-line. These flat manifolds are called cusp sections,…
Hydrodynamic limit for a facilitated exclusion process – Marielle Simon (Inria Lille)
In this talk we will be interested in a one-dimensional exclusion process subject to strong kinetic constraints, which belongs to the class of cooperative kinetically constrained lattice gases. More precisely, its stochastic short range interaction…
Geometric applications of (non)Linear Potential Theory – Mattia Fogagnolo (Scuola Normale Superiore )
I will discuss how geometric inequalities and splitting results on complete Riemannian manifolds with nonnegative Ricci curvature can be provided by employing suitable monotone quantities along the flow of capacitary and p-capacitary potentials, as…