Skip to main content Skip to footer site map
Mathematics Department

Combinatorics, Algebra, & Topology Seminar

Fall 2018

All talks are from 1200-1300 in the designated room unless otherwise specified.

  • Nov
  • The strong Lefschetz property for Artin Gorenstein algebras associated to matroids
    Yasuhide Numata
    Shinshu University
    Time: 12:00 PM

    View Abstract

    We consider a certain class of finite-dimensional Gorenstein algebras associated to matroids. We show the Lefschetz property in the case where the matroid corresponds to a modular geometric lattice. Our result implies that the modular geometric lattice has the Sperner property. We also discuss the Grobner fan of the defining ideal of our Gorenstein algebra.
  • Oct
  • Joseph Kung
    University of North Texas
    Location: CH351
    Time: 12:00 PM
  • Oct
  • Partition Counting, Dynkin diagrams, quantum dilogarithms, and generalizations
    Justin Allman
    Location: CH225
    Time: 12:00 PM

    View Abstract

    The Durfee's square identity is an effective way to iteratively count partitions going back to at least Cauchy. In this talk we show how this identity is related to representations of a certain quiver, namely an orientation of the A_2 Dynkin diagram. Furthermore, we show that identities among quantum dilogarithm series, with a rich history in their own right, can encode infinitely all of the Durfee's-square-type identities simultaneously. Finally, we discuss how these identities generalize to entire families of quivers.
go to Top