Mathematics Department

Basic Notions Seminar

Spring 2014

All talks are from 3:45-4:45 p.m. in the Seminar room, unless otherwise specified.

The idea of this seminar is to present a fundamental topic in a way that many faculty can understand.

For questions please contact Max Wakefield.

  • May
    05
  • Overview of some Problems from Numerical Analysis/Applied Math
    Sania Garcia
    Time: 12:00 PM
  • Apr
    30
  • A Combinatorial Model for Hall-Littlewood Polynomials
    Andy Wills
    Virginia Tech
    Time: 03:45 PM

    View Abstract

    We introduce a combinatorial model for Hall-Littlewood polynomials, a class of symmetric polynomials in N variables, using objects called abacus-tournaments. Each individual abacus-tournament is given a signed weight and summing the signed weights of all the abacus-tournaments gives the Hall-Littlewood polynomial. Combinatorial proofs of identities for Hall-Littlewood polynomials, in place of the traditional algebraic methods, can be simple, elegant, and often give insight into the basic structure of the polynomials.
  • Apr
    28
  • Preperiodic points, heights, and Northcott's theorem
    Brian Stout
    Time: 03:45 PM
  • Apr
    21
  • Dynamic programming and the jungle
    Sommer Gentry
    USNA
    Time: 03:45 PM

    View Abstract

    Stochastic, dynamic optimization problems are incredibly varied and difficult to solve. It's no surprise that different research communities have developed different algorithms, notation, and names for algorithms tuned to different aspects of the "curse of dimensionality". Solution methods go under the names of reinforcement learning, markov decision processes, stochastic programming, approximate dynamic programming, and more. I'll offer a road map through the jungle, starting with the celebrated Bellman (Hamilton-Jacobi) equation that recursively defines the best decision to make at any time point t as a function of the expected value of making optimal decisions from time t+1 forward.
  • Apr
    17
  • Mathematics of "Moby Duck": Amy Bower and the Chesapeake Bay
    Reza Malek-Madani
    USNA
    Time: 03:45 PM
  • Apr
    02
  • Image restoration using equations from fluid dynamics
    Evelyn Lunasin
    USNA
    Time: 03:45 PM
  • Feb
    24
  • A 4th grade approach to p-adics
    Peter Andre
    USNA
    Time: 03:45 PM
  • Feb
    05
  • Sums of generalized harmonic series (NOT multiple zeta values)
    Mike Hoffman
    USNA
    Time: 03:45 PM
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