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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
    23
  • Polynomials, graphs and cohomology, Or I need help with this problem, interested?
    Susama Agarwala
    Time: 12:00 PM
    Combinatorics, Algebra, & Topology Seminar

    View Abstract

    In this talk, I present a family of graphs representing a family of polynomials. I define a differential graded algebra on this family and discuss barriers to computing the cohomology. Time permitting, I discuss how this is secretly a graphical approach to understanding mixed Tate Motives.
  • Mar
    23
  • Multiscale modeling and simulation: some challenges and new perspectives
    Celia Reina
    University of Pennsylvania
    Time: 12:00 PM
    Applied Math Seminar

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    The design and optimization of the next generation of materials and applications strongly hinge on our understanding of the processing-microstructure-performance relations; and these, in turn, result from the collective behavior of materials’ features at multiple length and time scales. Although the modeling and simulation techniques are now well-developed at each individual scale (quantum, atomistic, mesoscale and continuum), there remain long-recognized grand challenges that limit the quantitative and predictive capability of multiscale modeling and simulation tools. In this talk we will discuss three of these challenges and provide solution strategies in the context of specific applications. These comprise (i) the homogenization of the mechanical response of materials in the absence of a complete separation of length and/or time scales, for the simulation of the dispersive nature of heterogeneous media; (ii) the collective behavior of materials’ defects, for the understanding of the kinematics of large elastoplastic deformations; and (iii) the upscaling of non-equilibrium material behavior for the modeling of phase change materials.
  • Mar
    27
  • Two new theorems about similar matrices
    Prof. David Sherman
    University of Virginia
    Time: 03:45 PM
    Operator Algebras and Dynamics Seminars

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    It is well-known that if A and B are Hermitian matrices, AB and BA are similar. Is this still true if A and B are merely normal? A matrix V is called a partial isometry if V*V is an orthogonal projection. Which matrices are similar to partial isometries? I was surprised that these questions were open and even more surprised to do joint work that solves them. I'll explain elements of the solutions, give examples establishing sharpness, and discuss some related ideas. The talk will be accessible to anyone who understands the questions above and the sentence, "Jordan canonical form is a complete similarity invariant for complex matrices."
  • Mar
    29
  • Discussion of linear algebra courses SM261, SM361, and SM461
    Group discussion
    Time: 12:00 PM
    Teaching Seminar

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    Joint meeting of the Majors Curriculum Committee and the Teaching Seminar to discuss the courses SM261 (Matrix Theory), SM361 (Intermediate Linear Algebra), and SM461 (Linear Algebra).
  • Mar
    31
  • John Donnal
    United States Naval Academy
    Time: 12:00 PM
    Applied Math Seminar
  • Apr
    03
  • Hereditary properties for C*-inclusions
    Time: 03:45 PM
    Operator Algebras and Dynamics Seminars
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