Past Seminars

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  • Jesus de Loera
    Thu May 3, 2018
    3:00 pm
    Linear programs (LPs) are, without any doubt, at the core of both the theory and the practice of mondern applied and computational Optimization (e.g., in discrete optimization LPs are used in practical computations using branch-and-bound, and in approximation algorithms, e.g., in rounding schemes). At the same time  Dantzig’s...
  • Qiang Guang
    Tue May 1, 2018
    4:00 pm
    Free boundary minimal hypersurfaces are critical points of the area functional in compact manifolds with boundary. In general, a free boundary minimal hypersurface may be improper, i.e., the interior of the hypersurface may touch the boundary of the ambient manifold. In this talk, we will present recent work on compactness and generic...
  • Yu Yuan
    Tue May 1, 2018
    3:00 pm
    We survey some new and old uniqueness results for Hessian equations such as special Lagrangian equations, Monge-Ampere equations, and symmetric Hessian equations. In particular, a unified approach to quadratic asymptote of solutions over exterior domains--based on an "exterior" Evans-Krylov, corresponding to Allard-Almgren's...
  • Roman Vershynin
    Tue May 1, 2018
    11:00 am
    The most fundamental kind of functions studied in computer science are Boolean functions. They take n bits as an input and return one bit as an output. Most Boolean functions oscillate a lot, which is analogous to the fact that "most" continuous functions on R are nowhere differentiable. If we want to generate a "smooth...
  • Nick Rozenblyum
    Mon Apr 30, 2018
    4:00 pm
    A classical result of Goldman states that character variety of an oriented surface is a symplectic algebraic variety, and that the Goldman Lie algebra of free loops on the surface acts by Hamiltonian vector fields on the character variety. I will describe a vast generalization of these results, including to higher dimensional manifolds where the...
  • Nick Rozenblyum
    Mon Apr 30, 2018
    4:00 pm
    A classical result of Goldman states that character variety of an oriented surface is a symplectic algebraic variety, and that the Goldman Lie algebra of free loops on the surface acts by Hamiltonian vector fields on the character variety. I will describe a vast generalization of these results, including to higher dimensional manifolds where the...
  • Martin Ziegler
    Mon Apr 30, 2018
    4:00 pm
     (This is joint work with Martin Pizarro). We prove that for any prime p the theory of separably closed fields of characteristic p is equational. This was known before for finite degree of imperfection.