Mathematics Department

Upcoming Talks

This is a list of all upcoming talks for the next two weeks. Talks are from 3:45-4:45 p.m. in the Colloquium or Seminar Room, unless otherwise specified.

  • Mar
    04
  • Strong shift equivalence and algebraic K-theory
    Prof. Mike Boyle
    University of Maryland
    Time: 03:45 PM
    Colloquium Series

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    This will be a colloquium talk, assuming no background in K-theory. Let R (always assumed to contain 0 and 1) be a subset of a ring. Let A,B be square matrices over R (not necessarily of equal size). A and B over R are elementary strong shift equivalent over R (ESSE-R) if there exist matrices U,V over R such that A=UV and B=VU. A and B are strong shift equivalent over R (SSE-R) if they are connected by a chain of elementary strong shift equivalences. If R is a ring, what does it mean for A and B to be strong shift equivalent? This question is motivated by classification problems in symbolic dynamics, as I'll describe, but is natural enough on its own. In his 1973 Annals paper, Williams took the first step, introducing shift equivalence (SE) as an invariant of strong shift equivalence. Whether SE implies SSE for a ring R remained open. It turns out that for a ring R, the refinement of SE by SSE can be nontrivial, and is captured exactly by the algebraic K-theory group NK_1(R). This is joint work with Scott Schmieding.
  • Mar
    05
  • The Paraxial Wave Equation (PWE)
    Prof. Reza Malek-Madani
    USNA
    Time: 12:00 PM
    Applied Math Seminar

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    I will describe joint work with Pete McCoy on the relationship between PWE and the biharmonic equation, followed by joint work with Stephen Guth on a numerical study of this equation where we compare the accuracy of the Galerkin method with the Spectral method when applied to the PWE.
  • Mar
    06
  • Tarski problems for free associative algebras and group rings
    Prof. Alexei Miasnikov
    Stevens Institute of Technology
    Time: 12:00 PM
    Colloquium Series

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    The classical Tarski problems will be discussed in the class of free associative algebras and group rings over hyperbolic groups.
  • Mar
    06
  • Elementary Free Groups and Some Consequences of the Solution to the Tarski Problem
    Prof. Benjamin Fine
    Fairfield University
    Time: 03:45 PM
    Colloquium Series
  • Mar
    09
  • Other Departments II
    Time: 12:00 PM
    Teaching Seminar
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