Past Seminars

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  • Bena Tshishiku
    Mon Jan 8, 2018
    4:00 pm
    A basic problem in the study of fiber bundles is to compute the ring H*(BDiff(M)) of characteristic classes of bundles with fiber a smooth manifold M. When M is a surface, this problem has ties to algebraic topology, geometric group theory, and algebraic geometry. Currently, we know only a very small percentage of the total cohomology. In this...
  • Kyle Pounder
    Mon Jan 8, 2018
    4:00 pm
    The finite Toda lattice was proposed originally as a model for finitely many particles in a one-dimensional crystal. Now 50 years since its introduction, it has become a canonical model in integrable systems. In this talk, we will consider the long time limit of the finite Toda lattice. The main results are detailed asymptotic formulas for the...
  • Sean Cox
    Mon Jan 8, 2018
    4:00 pm
    Shelah proved that a certain form of Strong Chang’s Conjecture is equivalent to the  statement ``Namba forcing is semiproper". I will present some related results about semiproperness of ``nonreasonable” posets (a notion introduced by Foreman-Magidor). This is joint work with Hiroshi Sakai.
  • Steven Sam
    Mon Jan 8, 2018
    3:00 pm
    Representation stability is an exciting new area that combines ideas from commutative algebra and representation theory. The meta-idea is to combine a sequence of objects together using some newly defined algebraic structure, and then to translate abstract properties about this structure to concrete properties about the original object of study....
  • Israel Michael Sigal
    Mon Jan 8, 2018
    2:00 pm
     The Ginzburg - Landau equations play a fundamental role in various areas of physics, from  superconductivity to elementary particles. They present the natural and simplest extension of the Laplace equation to line bundles. Their non-abelian generalizations - Yang-Mills-Higgs and Seiberg-Witten equations have applications in geometry and...
  • Wei-Kuo Chen
    Thu Jan 4, 2018
    11:00 am
    The problem of detecting a deformation in a symmetric Gaussian random tensor is concerned about whether there exists a statistical hypothesis test that can reliably distinguish a low-rank random spike from the noise. Recently Lesieur et al. (2017) proved that there exists a critical threshold so that when the signal-to-noise ratio exceeds...
  • Daniel Bergman
    Mon Dec 11, 2017
    10:00 am