Past Seminars- Colloquium

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  • 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...
  • S. Mayboroda
    Thu Apr 13, 2017
    4:00 pm
        Over the past century an effort to understand dimension and structure of the harmonic measure spanned many spectacular developments in Analysis and in Geometric Measure Theory. Uniform rectifiability emerged as a natural geometric condition, necessary and sufficient for classical estimates in harmonic analysis, boundedness of the...
  • Ramin Takloo-Bighash
    Thu Mar 16, 2017
    4:00 pm
    The talk will start with some remarks on the role that zeta functions and Tuberian theorems have played in number theory in the last 180 years starting essentially with Dirichlet's proof of his Arithmetic Progression Theorem. The remainder of the talk will be devoted to giving a survey of recent applications of Tauberian theorems to counting...
  • Jonathan Weitsman
    Thu Mar 2, 2017
    4:00 pm
    Geometric Quantization is a program of assigning to classical mechanical systems (symplectic manifolds and the associated Poisson algebras of C-infinity functions) their quantizations --- algebras of operators on Hilbert spaces.  Geometric Quantization has had many applications in Mathematics and Physics.   Nevertheless the main...