Organizers: Patrick Brosnan, Sandra Cerrai, and Vadim Kaloshin
When: 
Wednesday @ 3:15pm, 2:45pm Tea in 3201
Where:
Math 3206
From time to time special colloquia are held on other days, sometimes as part of conferences.
Other special colloquia are the Aziz Lectures and Avron Douglis Memorial Lectures.

  • Aziz Lecture


    Speaker: Endre Suli (Oxford University) - http://www.cs.ox.ac.uk/endre.suli/

    When: Wed, May 6, 2015 - 3:15pm
    Where: Math 3206
  • TBA


    Speaker: Alex Kontorovich (Rutgers University) - http://math.rutgers.edu/~alexk/

    When: Wed, April 29, 2015 - 3:15pm
    Where: Math 3206
  • TBA


    Speaker: Douglas Hofstadter (Indiana University at Bloomington) - http://www.soic.indiana.edu/all-people/profile.html?profile_id=229

    When: Wed, April 22, 2015 - 3:15pm
    Where: Math 3206
  • TBA


    Speaker: Lenya Ryzhik (Stanford University) - http://math.stanford.edu/~ryzhik/

    When: Wed, April 15, 2015 - 3:15pm
    Where: Math 3206
  • TBA


    Speaker: Francois Ledrappier (University of Notre Dame) - http://math.nd.edu/people/faculty/francois-ledrappier/

    When: Fri, April 10, 2015 - 3:15pm
    Where: Math 3206
  • Julia Hartmann (TBA)


    Speaker: Julia Hartmann (UPenn) - http://www.math.upenn.edu/~hartmann/

    When: Wed, April 8, 2015 - 3:15pm
    Where: Math 3206

    View Abstract

    Abstract: TBA
  • TBA


    Speaker: Stefano Bianchini (SISSA - International School for Advanced Studies) - http://people.sissa.it/~bianchin/

    When: Wed, March 25, 2015 - 3:15pm
    Where: Math 3206
  • TBA


    Speaker: Pavel Etingoff (MIT) - http://math.mit.edu/directory/profile.php?pid=66

    When: Wed, March 11, 2015 - 3:15pm
    Where: Math 3206
  • TBA


    Speaker: Jean-Michel Bismut (Universite' Paris Sud) - http://www.math.u-psud.fr/~bismut/Web_page_of_Jean-Michel_Bismut/Contact_information.html

    When: Wed, March 4, 2015 - 3:15pm
    Where: Math 3206
  • TBA


    Speaker: Angela Gibney (University of Georgia)

    When: Wed, February 25, 2015 - 3:15pm
    Where: Math 3206
  • TBA


    Speaker: Mattias Rupp (University of Basel) - http://www.mrupp.info/

    When: Wed, February 18, 2015 - 3:15pm
    Where: Math 3206
  • TBA


    Speaker: Mikhail Lyubich (Stony Brook University) - http://www.math.sunysb.edu/~mlyubich/

    When: Wed, February 11, 2015 - 3:15pm
    Where: Math 3206
  • Heat Kernels for a Family of Sub-elliptic Operators


    Speaker: Chang Der-Chen (Georgetown University) - http://explore.georgetown.edu/people/chang/

    When: Wed, February 4, 2015 - 3:15pm
    Where: Math 3206
  • Nero Budur (TBA)


    Speaker: Nero Budur (KU Leuven) - https://perswww.kuleuven.be/~u0089821/

    When: Wed, January 28, 2015 - 3:15pm
    Where: Math 3206

    View Abstract

    Abstract: TBA
  • Recent developments on certain dispersive equations as infinite dimensional Hamiltonian systems


    Speaker: Gigliola Staffilani (MIT) - http://math.mit.edu/~gigliola/

    When: Wed, December 10, 2014 - 3:15pm
    Where: Math 3206

    View Abstract

    Abstract: In this talk I will present some recent developments in the study of dispersive differential equations on compact manifolds that can also be viewed as infinite dimensional Hamiltonian systems. I will talk about Strichartz estimates, weak turbulence, Gibbs measures, symplectic structures and non-squeezing theorems. A list of open problems will conclude the talk.
  • Integrable probability


    Speaker: Alexei Borodin (MIT) - http://math.mit.edu/people/profile.php?pid=1222

    When: Wed, November 19, 2014 - 3:15pm
    Where: Math 3206

    View Abstract

    Abstract: The goal of the talk is to survey the emerging field of integrable probability,
    whose goal is to identify and analyze exactly solvable probabilistic models. The models and results are often easy to describe, yet difficult to find, and they carry essential information about broad universality classes of stochastic processes.
  • Some connections between Minimal surfaces and Free Boundary problems


    Speaker: Luis Caffarelli (University of Texas at Austin) - http://www.ma.utexas.edu/users/caffarel/

    When: Fri, November 14, 2014 - 3:15pm
    Where: Math 3206

    View Abstract

    Abstract: I will describe connections between the minimal surface theory,
    as develop from the point of view of sets with minimal perimeter and
    different approaches to free boundary regularity. Will also describe some
    problems in phase transition that combine both.

  • The interplay between geometric modeling and simulation of partial differential equations - Aziz Lecture


    Speaker: Annalisa Buffa (IMATI-CNR Pavia) - http://www.imati.cnr.it/annalisa/

    When: Wed, November 12, 2014 - 3:15pm
    Where: Math 3206

    View Abstract

    Abstract: Computer-based simulation of partial differential equations involves approximation of the unknown fields and a description of geometrical entities as, for example, the computational domain and the properties of the media.
    There are a variety of situations: in some cases this description is very complex, in some other the governing equations are very difficult to discretize. Starting with an historical perspective, I will describe the recent efforts to improve the interplay between the mathematical approaches characterizing these two aspects of the problem.
  • Some geometric mechanisms for Arnold Diffusion.


    Speaker: Rafael de la Llave (Georgia Institute of Technology) - http://www.math.gatech.edu/users/rll6

    When: Wed, November 5, 2014 - 3:15pm
    Where: Math 3206

    View Abstract

    Abstract: We consider the problem whether small perturbations of integrable mechanical systems
    can have very large effects.

    It is known that in many cases, the effects of the perturbations average out, but there
    are exceptional cases (resonances) where the perturbations do accumulate. It is a complicated
    problem whether this can keep on happening because once the instability accumulates, the system
    moves out of resonance.

    V. Arnold discovered in 1964 some geometric structures that lead to accumulation
    in carefully constructed examples. We will present some other geometric structures
    that lead to the same effect in more general systems and that can be verified in
    concrete systems. In particular, we will present an application to
    the restricted 3 body problem. We show that, given some conditions, for all
    sufficiently small (but non-zero) values of the eccentricity, there are orbits
    near a Lagrange point that gain a fixed amount of energy. These conditions
    (amount to the non-vanishing of an integral) are verified numerically.

    Joint work with M. Capinski, M. Gidea, T. M-Seara
  • An introduction to the theory of noncommutative motives


    Speaker: Goncalo Tabuada (MIT) - http://math.mit.edu/~tabuada/

    When: Fri, October 31, 2014 - 3:15pm
    Where: Math 3206

    View Abstract

    Abstract: The theory of motives was envisioned by Grothendieck in the
    sixties. In contrast, noncommutative motives were only recently introduced
    by Kontsevich. The central tenet of noncommutative motives is that one
    should not work with algebraic varieties but rather with their (bounded)
    derived category of coherent sheaves: the later carries much more
    symmetries than the former. In this talk I will survey the foundations of
    noncommutative motives and describe some applications. I will end the talk
    with some speculative remarks regarding where the research on
    noncommutative motives might take us.

  • No Colloquium


    Speaker: () -

    When: Wed, October 29, 2014 - 3:15pm
    Where: Math 3206
  • No Colloquium


    Speaker: () -

    When: Wed, October 22, 2014 - 3:15pm
    Where: Math 3206
  • On the work of Fields Medalists Artur Avila and Maryam Mirzakhani


    Speaker: Giovanni Forni (University of Maryland) -

    When: Fri, October 10, 2014 - 3:15pm
    Where: Math 3206

    View Abstract

    Abstract: The cited work of both Avila and Mirzakhani includes
    contributions to the study of area-preserving flows on surfaces,
    (and related systems, such as Interval Exchange Transformations
    and Billiards in Rational Polygons) and/or to the study of the
    corresponding ''renormalization dynamics'', that is, the so-called
    Teichmueller geodesic flow on the moduli space of Riemann surfaces.
    In this talk we will survey their main results on these topics and discuss
    their significance mainly from the point of view of dynamical systems.
  • On null singularities for the Einstein vacuum equations and the strong cosmic censorship conjecture in general relativity


    Speaker: Mihalis Dafermos (Princeton University) - https://www.math.princeton.edu/directory/mihalis-dafermos

    When: Wed, October 8, 2014 - 3:15pm
    Where: Math 3206
  • The Malliavin Calculus and its Applications


    Speaker: David Nualart (University of Kansas) - http://www.math.ku.edu/~nualart/

    When: Wed, October 1, 2014 - 3:15pm
    Where: Math 3206

    View Abstract

    Abstract: The purpose of this talk is to present an elementary introduction to the stochastic calculus of variations or Malliavin calculus.
    This is a differential calculus on a Gaussian space introduced by Paul Malliavin in the 70s to provide a probabilistic proof of Hormander's hypoellipticity theorem. We will also discuss a recent application of Malliavin calculus, combined with Stein's method, to normal approximations.
  • Existence of a solution to an equation arising from the theory of Mean Field Games


    Speaker: Wilfrid Gangbo (Georgia Institute of Technology) - http://people.math.gatech.edu/~gangbo/

    When: Wed, September 24, 2014 - 3:15pm
    Where: Math 3206

    View Abstract

    Abstract: We construct a small time strong solution of a nonlocal Hamilton–Jacobi equation
    introduced by Lions, the so-called master equation, which finds its origins in the theory of Mean Field Games. As a consequence we prove the existence of a Nash equilibrium for a game with a continuum of players, called non-atomic game by R. J. Aumann and L. S. Shapley. (This is a joint work with A. Swiech).
  • Annual Department Welcome


    Speaker: Dr. Scott Wolpert (Chair, Dept. of Mathematics, UMCP) -

    When: Wed, September 17, 2014 - 3:15pm
    Where: MTH 3206
  • The fundamental group of an algebraic variety, and hyperbolic complex manifolds


    Speaker: Burt Totaro (UCLA) - http://www.math.ucla.edu/~totaro/

    When: Wed, September 10, 2014 - 3:15pm
    Where: Math 3206

    View Abstract

    Abstract: It is a mystery which groups can occur as fundamental groups of smooth complex projective varieties. It is conceivable
    that whenever the fundamental group is infinite, the variety has some "negative curvature" properties. We discuss a result
    in this direction, in terms of "symmetric differentials". There are interesting open questions even about the special case
    of compact quotients of the unit ball in C^n. (Joint work with Yohan Brunebarbe and Bruno Klingler.)