Past Seminars- Colloquium

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  • Wilfrid Gangbo
    Thu Jan 26, 2017
    4:00 pm
    We present some of the recent results in Mean Field Games theory, especially the so–called master equation, backbone of the MFG the- ory. Despite the fact that the master equation is a non–local first order equation, we show how it is linked to metric viscosity solutions of a local Hamilton–Jacobi equation on the set of...
  • James Hyman
    Thu Dec 1, 2016
    4:00 pm
    Public health workers are reaching out to mathematical scientists to use disease models to understand, and mitigate, the spread of emerging diseases. Mathematical and computational scientists are needed to create new tools that can anticipate the spread of new diseases and evaluate the effectiveness of different approaches for bringing epidemics...
  • Peter Ebenfelt
    Thu Nov 17, 2016
    4:00 pm
     The Bergman and Szeg\H o kernels in a bounded domain $\Omega\subset \mathbb C^n$ are the reproducing kernels for the holomorphic functions in $L^2(\Omega,dV)$ and $L^2(\partial \Omega,d\sigma)$, respectively, where $dV$ denotes the standard Lebesgue measure in $\bC^n$ and $d\sigma$ a surface measure on the boundary $\partial\Omega$. Their...
  • Thomas Sinclair
    Fri Nov 4, 2016
    4:00 pm
    Given a locally compact second countable group G, the group von Neumann algebra L(G) is the algebra associated to the invariant subspace decomposition of the left regular representation. It is a natural, and quite difficult, question to address how much of the group structure is recoverable from L(G). That is if two groups have isomorphic group...
  • Yulij Ilyashenko
    Tue Oct 11, 2016
    3:00 pm
    The talk provides a new perspective of the global bifurcation theory on the plane. Theory of planar bifurcations consists of three parts: local, nonlocal and global ones. It is now clear that the latter one is yet to be created. Local bifurcation theory (in what follows we will talk about the plane only) is related to  ...
  • Jerry Goldstein
    Thu Apr 28, 2016
    4:00 pm
    We will discuss three one space dimensional time dependent linear parabolic equations: the heat equation, the Black-Scholes equation (describing stock options) and the Cox-Ingersoll-Ross equation (describing bond markets).  New results will involve representation of the solution semigroups, chaotic properties of the semigroups, and a new kind...
  • S. Shlosman
    Thu Mar 10, 2016
    4:00 pm
    I will talk about the Ising model -- the drosophila of the rigorous statistical physics. It turns out that some of the new phenomena which appear in modern mathematical physics can still be observed in the Ising model as well.  One example which I will focus on is the size of typical fluctuations of the extended systems. If the size of the...