Past Seminars- Colloquium

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  • Jesse Wolfson
    Thu Mar 1, 2018
    4:00 pm
    There are still completely open fundamental questions about polynomials in one variable. One example is Hilbert's 13th Problem, a conjecture going back long before Hilbert.  Indeed, the invention of algebraic topology grew out of an effort to understand how the roots of a polynomial depend on the coefficients. The goal of this talk is to...
  • Barry Simon
    Thu Feb 15, 2018
    4:00 pm
    This is not a mathematics talk but it is a talk for mathematicians. Too often, we think of historical mathematicians as only names assigned to theorems. With vignettes and anecdotes, I'll convince you they were also human beings and that, as the Chinese say, "May you live in interesting times" really is a curse. More tales following...
  • Distinguished Lecture by C. McMullen
    Thu Feb 8, 2018
    4:00 pm
  • Andrew Suk
    Thu Dec 7, 2017
    4:00 pm
    The classic 1935 paper of Erdos and Szekeres entitled "A combinatorial problem in geometry" was a starting point of a very rich discipline within combinatorics: Ramsey theory.  In that paper, Erdos and Szekeres studied the following geometric problem.  For every integer n ≥ 3, determine the smallest integer ES(n) such...
  • Yitang Zhang
    Thu Nov 16, 2017
    4:00 pm
    We briefly describe some ideas and techniques that lead to solutions to certain problems in number theory, such as the bounded gaps between prime numbers, and others. This talk will be made understandable to general math audiences; technical details will be avoided.
  • Ben Weinkove
    Thu Nov 9, 2017
    4:00 pm
     The space of (Kahler) metrics on a projective algebraic variety can be given a natural infinite dimensional Riemannian structure.  This leads to the notion of a geodesic in the space of metrics.  I will discuss a recent result on the optimal regularity of these geodesics and how this relates to nonlinear PDEs and canonical metrics...
  • Xiaodong He
    Thu May 25, 2017
    4:00 pm
    Deep learning, which exploits multiple levels of data representations that give rise to hierarchies of concept abstraction, has been the driving force in the recent resurgence of Artifi cial Intelligence (AI). In this talk, I will summarize rapid advances in cognitive AI, particularly including comprehension, reasoning, and generation across...