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…
Eventi
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…
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…
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…