Aitor Iribar López (ETH Zürich)
Cohomology of the Satake compactification II
13:30 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room G 43
Joris von Winden (TU Delft)
Synchronization by noise for traveling pulses abstract
Abstract:
We show synchronization by noise for stochastic partial differential equations which support traveling pulse solutions, such as the FitzHugh-Nagumo equation. We show that any two pulse-like solutions which start from different positions but are forced by the same realization of a multiplicative noise, converge to each other in probability on an appropriate time scale in the joint limit of small noise and long time. The noise is assumed to be Gaussian, white in time, colored and periodic in space, and non-degenerate only in the lowest Fourier mode. This is joint work with Christian Kuehn (TU Munich).
15:00 • EPF Lausanne, Bernoulli Center
Alan Reid (Rice)
Profinite rigidity, low-dimensional topology and Grothendieck Pairs abstract
Abstract:
The set of finite quotients of a finitely generated group is neatly captured by its profinite completion. A finitely generated (residually finite) group G is called profinitely rigid if whenever another finitely generated (residually finite) group H has isomorphic profinite completion, then H is isomorphic to G. This talk will discuss recent progress on groups that are (are not) profinitely rigid, and in particular describe a construction (Grothendieck Pairs) that produce a finitely presented group that is rigid amongst finitely presented groups, but not amongst finitely generated ones. An emphasis will be placed on the central role that 3-manifold groups play.
15:30 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room G 43
Yu Deng (Chicago University)
The Hilbert sixth problem: particle and waves abstract
Abstract:
A major component of the Hilbert sixth problem concerns the derivation of macroscopic equations of motion, and the associated kinetic equations, from microscopic first principles. In the classical setting of Boltzmann’s kinetic theory, this corresponds to the derivation of the Boltzmann equation from particle systems governed by Newtonian dynamics; in the theory of wave turbulence, this corresponds to the derivation of the wave kinetic equation from nonlinear dispersive equations. In this talk we present recent joint works with Zaher Hani and Xiao Ma, where we consider the hard sphere model in the particle setting, and the cubic nonlinear Schrödinger equation in the wave setting. In both cases we derive the corresponding kinetic equation up to arbitrarily long times, as long as the solution to this kinetic equation exists. This is a key step towards the resolution of the Hilbert sixth problem.Joris van Winden (TU Delft) Synchronization by noise for traveling pulses
16:00 • EPF Lausanne, Bernoulli Center
Prof. Dr. Gaultier Lambert (KTH Royal Institute of Technology)
Title T.B.A.
17:15 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room G 43