Mathematics Department

Colloquium Series

Fall 2016

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

  • Nov
    22
  • Selective Migration, Occupational Choice, and the Wage Returns to College Majors
    Prof. Tyler Ransom
    Duke University (Social Science Research Institute)
    Time: 03:45 PM
  • Nov
    09
  • Does the threat of suspension curb dangerous behavior in soccer? A case study from the Premier League
    Time: 03:45 PM
  • Oct
    12
  • Interpolated Multiple Zeta Values
    Time: 03:45 PM

    View Abstract

    Multiple zeta values (MZVs) are real numbers indexed by a string of positive integers, defined by a nested infinite series. They have appeared in a surprising number of ways in mathematics and physics. A slight change in the definition gives multiple zeta-star values (MZSVs). Both MZVs and MZSVs satisfy many remarkable identities. Recently S. Yamamoto introduced interpolated multiple zeta values, which involve a parameter r; r = 0 gives MZVs and and r = 1 gives MZSVs. Interpolated multiple zeta values allow common proofs of identities for MZVs and MZSVs, and the case r = 1/2 is worthy of study in its own right.
  • Sep
    28
  • Pattern Statistics on Restricted Random Permutations
    Time: 03:45 PM

    View Abstract

    Identifying trends within two-dimensional data is a common challenge across the sciences, and the theory of permutation patterns adds new tools to this problem. One permutation is said to occur as a pattern in a larger one if we can find entries in the larger permutation which are in the same relative order as those of the smaller. By translating sets of points on a plane to permutations, we can use the language of permutations to describe and explore patterns. Pattern occurrences translate to topological invariants of a dataset, the statistics of which have only recently been studied. In this talk we investigate the following question: How does the absence of one pattern affect the number of occurrences of another? This has led to several interesting and surprising identities, concerning both individual patterns and the number of patterns with the same distribution across a set of permutations. We start by exploring the notion of pattern-avoiding sets of permutations, before analyzing the number of small patterns in pattern-avoiding permutations and classifying pattern occurrence identities within the separable permutations. This talk will be accessible to a wide audience, and will include plenty of pictures.
  • Sep
    21
  • Complementary Code Sets and Radar Pulse Compression
    Prof. Gregory Coxson
    USNA (Electrical and Computer Engineering)
    Time: 03:45 PM
  • Sep
    14
  • Multilevel Monte Carlo for inference
    Dr. Kody Law
    Oak Ridge National Laboratory
    Time: 03:45 PM
go to Top