Past Seminars- Algebra

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  • Daniel Krashen
    Mon Nov 21, 2016
    3:00 pm
    In this talk, I'll describe conjectures and recent work concerning field invariants and their complexity, relating to quadratic forms, Galois cohomology, and similar concepts.
  • Angela Gibney
    Mon Nov 7, 2016
    3:00 pm
    I will discuss recent work, with Prakash Belkale, where we show the section ring for the pair (Bun, D) is finitely generated, for D the determinant of cohomology line bundle on the stack Bun = Bun_{SL(r)}(C) parameterizing principal SL(r)-bundles on a singular stable curve C.  I'll define these things, put the result into some historical...
  • Ralph Greenberg
    Tue May 3, 2016
    2:00 pm
    There is a classical theorem of Iwasawa which concerns certain modules X for the formal power series ring Λ = Zp[[T]] in one variable.  Here p is a prime and Zp is the ring of p-adic integers.  Iwasawa's theorem asserts that X has no nonzero, finite Λ-submodules. We will begin by describing...
  • Kiran Kedlaya
    Tue Apr 12, 2016
    2:00 pm
  • Yuri G. Zarhin
    Tue May 5, 2015
    2:00 pm
    We study the monodromy of a certain class of semistable hyperelliptic curves over the rationals that was introduced by Shigefumi Mori forty years ago (before his Minimal Model Program). Using ideas of Chris Hall, we prove that the corresponding $\ell$-adic monodromy groups are (almost) ``as large as possible". We also discuss an explicit...
  • Herbert Lange
    Fri Feb 20, 2015
    3:30 pm
  • Jeremy Pecharich
    Tue Jun 3, 2014
    1:00 pm
    We will introduce the notion of an operad, which generalize the properties coming from associative algebras or Lie algebras. While the definition of an operad to somewhat complex everything will be done through example so we can get familiar with operads and their vast array of applications. If time permits we will give some applications to...