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.…
Eventi
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…
Crystalline and étale companions – Kiran S. Kedlaya (University of California San Diego)
When studying the zeta functions of algebraic varieties over finite fields of characteristic $p$, there are essentially two approaches to put these in the context of a Weil cohomology theory. One approach is the familiar one using etale cohomology;…
Invariance by induction of the asymptotic variance – Françoise Pène (Université de Bretagne Occidentale, France)
It is well known that the integral of an observable is preserved by induction. We are interested here in extensions of this result to moments of order 2 and 3. We have two natural candidates for the second and third order moments: the classical…
Matching for random systems with an application to minimal weight expansions – Marta Maggioni (Universiteit Leiden, Olanda)
We consider families of skew-product maps, representing systems evolving in discrete time in which, at each time step, one of a number of transformations is chosen according to an i.i.d process and applied. We extend the notion of matching for such…
Asymptotic velocity for scattering particles – Andreas Knauf (Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany)
Partly with Jacques Fejoz, Richard Montgomery, Stefan Fleischer and Manuel Quaschner. The past and future of scattering particle systems is partly determined by their asymptotic velocity, that is, the Cesàro limit of the velocity. That this exists…
Symplectic structures on moduli of Stokes data – Tony Pantev (University of Pennsylvania)
I will discuss the notion of shifted symplectic structures along the stalks of constructible sheaves of derived stacks on stratified spaces. I will describe a general pushforward theorem producing relative symplectic forms and will explain explicit…
The Hilbert scheme of infinite affine space – Burt Totaro (UCLA)
I will discuss the Hilbert scheme of d points in affine $n$-space, with some examples. This space has many irreducible components for $n$ at least $3$ and is poorly understood. Nonetheless, in the limit where n goes to infinity, we show that the…