Past Seminars

Printer-friendly version
  • James-Michael Leahy
    Sat Dec 2, 2017
    11:20 am
    In this talk, we present some results on the existence of weak-solutions of the Navier-Stokes equation perturbed by transport-type rough path noise with periodic boundary conditions in dimensions two and three. The noise is smooth and divergence free in space, but rough in time. We will also discuss the problem of uniqueness in two dimensions. The...
  • Roman Vershynin
    Sat Dec 2, 2017
    10:00 am
    Uniform laws of large numbers provide theoretical foundations for statistical learning theory. This lecture will focus on quantitative uniform laws of large numbers for random matrices. A range of illustrations will be given in high dimensional geometry and data science.
  • Nishant Rangamani
    Fri Dec 1, 2017
    2:00 pm
    This will be a continuation of the presentation from two weeks ago. The abstract is below. Last time, we briefly discussed the notion of localization and some of its consequences and during this meeting we will finish with the rank one perturbation material and the promised proof. Abstract: The goal of this talk will be to discuss various...
  • Dongming Wei
    Fri Dec 1, 2017
    11:00 am
    This is a report of some recent progress and challenges we have made and encountered in modelling and numerical simulation of materially nonlinear beam structures with applications in micro-electrical-mechanical systems. For simplicity, the fully nonlinear DE’s and the associated initial/boundary value problems arising from modelling Hollomon’s...
  • Sheel Ganatra
    Tue Nov 28, 2017
    4:00 pm
    We introduce a new class of non-compact symplectic manifolds called Liouville sectors and show they have well-behaved, covariantly functorial Fukaya categories.  Stein manifolds frequently admit coverings by Liouville sectors, which can be used to understand the Fukaya category of the total space (we will study this geometry in examples). Our...
  • Sheel Ganatra
    Tue Nov 28, 2017
    4:00 pm
    We introduce a new class of non-compact symplectic manifolds called Liouville sectors and show they have well-behaved, covariantly functorial Fukaya categories.  Stein manifolds frequently admit coverings by Liouville sectors, which can be used to understand the Fukaya category of the total space (we will study this geometry in examples). Our...
  • Yi Ming Zou
    Mon Nov 27, 2017
    4:00 pm
    Polynomial dynamical systems over finite fields or rings provide a useful tool for studying network dynamics, such as those of gene regulatory networks. In this talk, I will discuss linear dynamical systems over finite commutative rings. The limit cycles of a linear dynamical system over a finite field can be described by using the elementary...