Organizers: Patrick Brosnan, Sandra Cerrai, and Vadim Kaloshin
Wednesday @ 3:15pm, 2:45pm Tea in 3201
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.

  • Polterovich (TBA)

    Speaker: Iosif Polterovich (Université de Montréal) -

    When: Wed, April 27, 2016 - 3:15pm
    Where: Math3206
  • Reserved for Dynamics Conference

    Speaker: Dynamics Conference (UMD) -

    When: Fri, April 15, 2016 - 3:15pm
    Where: Math 3206
  • Chen (TBA)

    Speaker: Xuewen Chen (University of Rochester) -

    When: Wed, April 13, 2016 - 3:15pm
    Where: 3206.0
  • Lubetzky (TBA)

    Speaker: Eyal Lubetzky (NYU) -

    When: Wed, April 6, 2016 - 3:15pm
    Where: Math 3206
  • Discussion with EPSL Head Librarian

    Speaker: Nevenka Zdravkovska (UMCP Libraries) -

    When: Wed, March 2, 2016 - 3:15pm
    Where: Math 3206
  • TBA

    Speaker: Armen Shirikyan (Université de Cergy-Pontoise ) -

    When: Wed, February 24, 2016 - 3:15pm
    Where: 3206.0
  • Parimala (TBA)

    Speaker: R. Parimala (Emory ) -

    When: Fri, February 19, 2016 - 3:15pm
    Where: Math 3206
  • Rapoport (TBA)

    Speaker: Michael Rapoport (Universitaet Bonn ) -

    When: Wed, February 10, 2016 - 3:15pm
    Where: Math 3206

    View Abstract

    Abstract: TBA
  • A drunk walk in a drunk world

    Speaker: Ivan Corwin (Columbia University, Clay Mathematics Institute) -

    When: Wed, December 9, 2015 - 3:15pm
    Where: Math3206

    View Abstract

    Abstract: In a simple symmetric random walk on Z a particle jumps left or right with 50% chance independently at each time and space location. What if the jump probabilities are taken to be random themselves (e.g. uniformly distributed between 0% and 100%). In this talk we will describe the effect of this random environment on a random walk, in particular focusing on a new connection to the Kardar-Parisi-Zhang universality class and to the theory of quantum integrable systems. No prior knowledge or background will be expected.
  • Colloquium date held for sponsored event

    Speaker: Held for Polish Embassy () -

    When: Wed, December 2, 2015 - 3:15pm
    Where: Math 3206
  • Tensor Sparsity - a Regularity Notion for High Dimensional PDEs [Aziz Lecture]

    Speaker: Wolfgang Dahmen (Aachen University, Germany) -

    When: Wed, November 18, 2015 - 3:15pm
    Where: Math 3206

    View Abstract

    Abstract: The numerical solution of PDEs in a spatially high-dimensional regime (such as the electronic Schrodinger or Fokker-Planck
    equations) is severely hampered by the "curse of dimensionality":
    the computational cost required for achieving a desired target accuracy increases exponentially with respect to the spatial dimension.

    We explore a possible remedy by exploiting a typically hidden sparsity of the solution to such problems with respect to a problem dependent basis or dictionary. Here sparsity means that relatively few terms from such a dictionary suffice to realize a given target accuracy. Specifically, sparsity with respect to dictionaries comprised of separable functions -- rank-one tensors
    -- would significantly mitigate the curse of dimensionality. The main result establishes such tensor-sparsity for elliptic problems over product domains when the data are tensor-sparse, which can be viewed as a structural regularity theorem.

  • Geometry of ODE's with a small parameter

    Speaker: Dima Arinkin (University of Wisconsin) -

    When: Wed, November 11, 2015 - 3:15pm
    Where: 3206.0

    View Abstract

    Abstract: I will look at very classical objects (linear ordinary differential equations) and study them from the view-point of algebraic geometry. The starting point is some simple results about differential operators of the form h(d/dx)+A(x), where h is small. The results lead to a non-trivial and beautiful picture for the parameter space of such equations, which may be interpreted geometrically as the moduli space of bundles with connections on a Riemann surface.
  • John Horvath remembrance event

    Speaker: Hold Date () -

    When: Wed, November 4, 2015 - 3:15pm
    Where: Math 3206
  • No Colloquium

    Speaker: No Colloquium () -

    When: Fri, October 30, 2015 - 3:15pm
    Where: Math 3206
  • No Seminar

    Speaker: No Seminar () -

    When: Wed, October 28, 2015 - 3:15pm
    Where: Math 3206
  • No Seminar

    Speaker: No Seminar () -

    When: Wed, October 21, 2015 - 3:15pm
    Where: Math 3206
  • Milnor-Witt K-Theory

    Speaker: Stefan Gille (Alberta) -

    When: Wed, October 14, 2015 - 3:15pm
    Where: Math 3206

    View Abstract

    Abstract: Milnor-Witt K-theory arises in the Morel-Voevodsky homotopy theory over a field and plays a role in the classification of vector bundles over smooth schemes. Morel in collaboration with Hopkins discovered a nice presentation of these groups, which has been recently generalized by Changlong Zhong, Stephen Scully and myself to semilocal rings which contain an infinite field. In my talk I will discuss this result and also present some applications of these groups.
  • Colloquium supeseded by Math Department Welcome

    Speaker: Math Department Welcome () -

    When: Fri, September 25, 2015 - 3:15pm
    Where: Math 3206
  • Galileo's New Mathematics

    Speaker: Mark A. Peterson (Mount Holyoke College) -

    When: Wed, September 16, 2015 - 3:15pm
    Where: Math 3206

    View Abstract

    Abstract: Galileo isn't really remembered for his mathematics.
    There is nothing called "Galileo's Theorem," for instance.
    But Galileo did make a fundamental contribution to mathematics,
    arguably more important than any new theorem, namely a new (or re-discovered)
    conception of what mathematics could mean. In the decades before
    Galileo, higher mathematics was an essentially static and obscure
    corner of philosophy, barely connected to physical reality.
    After Galileo, mathematics became the scaffolding
    of physics, and (apparently as a consequence) subject to rapid development.
    This revolution in Galileo's thought, and in the philosophy of
    mathematics more generally, had to come from outside mathematics:
    in Galileo's case it had its roots in literature, the arts, and quite
    possibly the theology of the High Middle Ages.
  • Hodge Theory on Matroids

    Speaker: Eric Katz (Univerisity of Waterloo) -

    When: Wed, September 9, 2015 - 3:15pm
    Where: Math 3206

    View Abstract

    Abstract: The chromatic polynomial of a graph counts its proper colourings. This polynomial's coefficients were conjectured to form a unimodal sequence by Read in 1968. This conjecture was extended by Rota in his 1970 address to assert the log-concavity of the characteristic polynomial of matroids which are the common generalizations of graphs and linear subspaces. We discuss the resolution of this conjecture which is joint work with Karim Adiprasito and June Huh. The solution draws on ideas from the theory of algebraic varieties, specifically Hodge theory, showing how a question about graph theory leads to a solution involving Grothendieck's standard conjectures.