Past Seminars- Algebra

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  • Jennifer Balakrishnan
    Thu May 23, 2013
    2:00 pm
    We give a Chabauty-like method for finding p-adic approximations to integral points on hyperelliptic curves when the Mordell-Weil rank of the Jacobian equals the genus. The method uses an interpretation of the component at p of the p-adic height pairing in terms of iterated Coleman integrals.  This is joint work with Amnon Besser and...
  • Steven Sam
    Thu May 9, 2013
    2:00 pm
    The theory of polynomial functors allows one to make sense of the stable polynomial representation theory of the general linear group over a field of characteristic 0. It also has a good notion of specialization, so that calculations done in the "infinite limit" can be used to get information in the usual finite-dimensional siutation. (...
  • Jeremy Pecharich
    Thu Apr 25, 2013
    10:00 am
    For A an associative algebra we will introduce a scheme attached to A that parametrizes finite dimensional representations of A called the representation scheme. We will then discuss a theorem of V. Ginzburg which relates non-commutative symplectic geometry to commutative symplectic geometry on the representation scheme. If time permits we will...
  • Ruochuan Liu
    Thu Apr 11, 2013
    2:00 pm
    This is a joint seminar with Number theory seminar. A classical result of Fontaine-Colmez in p-adic Hodge theory says that one can classify crystalline representations of Galois groups of p-adic fields using certain semi-linear objects, namely the weakly admissible (filtered, phi)-modules. In this talk we propose a notion of (...
  • Yuri Zarhin
    Thu Mar 7, 2013
    2:00 pm
    We study the map that sends a monic degree n complex polynomial f(x) without multiple roots to the collection of n values of its derivative at the roots of f(x). It turns out that the differential (tangent map) of this map always has rank n-1. 
  • Roger Dellaca
    Thu Feb 7, 2013
    2:00 pm
  • Michael Porter
    Thu Jan 31, 2013
    2:00 pm