Past Seminars- Distinguished Lectures

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  • Persi Diaconis
    Fri Apr 28, 2017
    2:00 pm
    Abstract: Szegö's theorem and the Kac-Murdoch-Szegö theorems are classical asymptotic results about the distribution of the eigenvalues of structured matrices. I will explain how these are useful in a variety of applications (in particular analysis on Heisenberg groups) _and_ show how they are equivalent to lovely theorems in random...
  • Persi Diaconis
    Thu Apr 27, 2017
    4:00 pm
    Abstract: When numbers are added in the usual way, "carries" occur along the way. Making math sense of the carries leads to all sorts of corners, in particular to the mathematics of shuffling cards. I will show that it takes seven ordinary riffle shuffles to mix up 52 cards and explain connections to fractals and other lovely...
  • Steven Zelditch
    Tue Mar 14, 2017
    4:00 pm
  • Steven Zelditch
    Mon Mar 13, 2017
    4:00 pm
  • Andrei Okounkov
    Thu May 12, 2016
    4:00 pm
    I will discuss certain remarkable q-difference equations with regular singularities that appear in enumerative K-theory and representation theory. This class includes, in particular, the quantum Knizhnik-Zamolodchikov equations of Frenkel and Reshetikhin. Remarkably, the geometric origin of these equations helps with the computations of the...
  • Andrei Okounkov
    Wed May 11, 2016
    4:00 pm
    Quantum cohomology is a deformation of the classical cohomology algebra of an algebraic variety X that takes into account enumerative geometry of rational curves in X. This has many remarkable properties for a general X, but becomes particularly structured and deep for special X. One of the most interesting class of varieties in this respect are...
  • Russel Caflisch
    Thu Apr 21, 2016
    2:00 pm
    Much recent progress in data science (e.g., compressed sensing and matrix completion) has come from the use of sparsity and variational principles. This talk is on transfer of these ideas from information science to differential equations and physics. The focus is on variational principles and differential equations whose solutions are spatially...