Past Seminars

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  • Qi Zhang
    Tue Nov 21, 2017
    4:00 pm
    Consider the scaling invariant, sharp log entropy (functional) introduced by Weissler on noncompact manifolds with nonnegative Ricci curvature. It can also be regarded as a sharpened version of Perelman's W entropy  in the stationary case. We prove that it has a minimizer if and only if the manifold is isometric to $\R^n$. Using this...
  • Ming Xiao
    Tue Nov 21, 2017
    3:00 pm
    We discuss rigidity results of volume-preserving maps between Hermitian symmetric spaces, based on the work of Mok-Ng and my recent joint work with Fang and Huang. Moreover, we make connections with rigidity results in CR geometry.
  • Deanna Needell
    Tue Nov 21, 2017
    11:00 am
    Binary, or one-bit, representations of data arise naturally in many applications, and are appealing in both hardware implementations and algorithm design. In this talk, we provide a brief background to sparsity and 1-bit measurements, and then present new results on the problem of data classification from binary data that proposes a stochastic...
  • Kino Zhao
    Mon Nov 20, 2017
    4:00 pm
    One of the primary theoretical tools in machine learning is Vapnik-Chervonenkis dimension (VC dimension), which measures the maximum number of distinct data points a hypothesis set can distinguish. This concept is primarily used in assessing the effectiveness of training classification algorithms from data, and it is established that having finite...
  • Jennifer Wilson
    Mon Nov 20, 2017
    4:00 pm
    This talk will illustrate some topological properties of the space F_k(M) of ordered k-tuples of distinct points in a manifold M. For a fixed manifold M, as k increases, we might expect the topology of the configuration spaces F_k(M) to become increasingly complicated. Church and others showed, however, that when M is connected and open, there is...
  • Chris Davis
    Fri Nov 17, 2017
    4:00 pm
    When different issues come up in teaching, there are many different people who can potentially help...  we'll play a game related to deciding whom to ask for assistance in different circumstances (as well as when something can probably be handled on your own).  
  • Nishant Rangamani
    Fri Nov 17, 2017
    2:00 pm
    The goal of this talk will be to discuss various issues related to the Anderson model as presented in Del Rio et. al "Operators with Singular Continuous Spectrum, IV." Firstly, we will explain the type of localization that allows one to make dynamical statements (i.e. given simple spectrum, we have 'SULE' iff 'SUDL'). We...