Events for 09/30/2016 from all calendars

Algebra and Combinatorics Seminar

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Catherine Yan, Texas A&M University

Title: Goncarov polynomials and parking functions

Abstract: This is the first part of 2 talks, in which we establish the connection between vector-parking functions and the classical univariate Goncarov polynomials. A $\mathbf{u}$-parking function is a sequence of positive integers whose order statistics are bounded by the given vector $\mathbf{u}$. The Goncarov polynomial $g_n(x; a_0, \dots, a_{n-1})$ is the polynomial of degree $n$ whose $i$th derivative, when evaluated at $a_i$, is $n! \delta_{i,n}$. We show that Goncarov polynomials provide a natural algebraic tool for working with vector parking functions and use them to enumerate parking functions. This is a joint work with Joseph Kung.

Seminar on Banach and Metric Space Geometry

Time: 3:00PM - 4:00PM

Location: BLOC 220

Speaker: Gilles Pisier, Texas A&M

Title: Sidon sets in duals of compact groups and generalizations

Abstract: We will recall some of the classical theory of Sidon sets of characters on compact groups (Abelian or not). In particular we discuss Sidon sets of integers in ℤ and Fourier series on the unit circle, which is the main Abelian case. We will then give several recent extensions to Sidon sets, randomly Sidon sets and subgaussian sequences in bounded orthonormal systems, following recent work by Bourgain and Lewko, and by the author, both currently available on arxiv. The second lecture will focus on the non-commutative case, i.e. sets of irreducible representations on compact (a priori non-Abelian) groups. The case of matricial systems, analogous to Fourier-Peter-Weyl series on compact groups, connects the subject to random matrix theory. An unpublished result of Rider (circa 1975) will also be highlighted. The case of matricial systems, analogous to Fourier-Peter-Weyl series on compact groups, connects the subject to random matrix theory. An unpublished result of Rider (circa 1975) will also be highlighted.

Linear Analysis Seminar

Time: 4:00PM - 5:00PM

Location: BLOC 220

Speaker: Sang-gyun Youn, Seoul National University/TAMU

Title: A littlewood type theorem on compact quantum groups

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