# Events for 04/18/2024 from all calendars

## Working Seminar on Banach and Metric Spaces

**Time: ** 10:00AM - 11:30AM

**Location: ** BLOC 302

**Speaker: **Hung Viet Chu, Texas A&M University

**Title: ***The Radon-Nikodym property and curves with zero derivatives for nonlocally convex spaces (after Nigel Kalton)*

## Noncommutative Geometry Seminar

**Time: ** 3:00PM - 4:00PM

**Location: ** BLOC 628

**Speaker: **Qiaochu Ma, Washington University in St. Louis

**Title: ***Mixed quantization and quantum ergodicity*

**Abstract: **Quantum Ergodicity (QE) is a classical topic in spectral geometry and quantum chaos, it states that on a compact Riemannian manifold whose geodesic flow is ergodic with respect to the Liouville measure, the Laplacian has a density-one subsequence of eigenfunctions that tends to be equidistributed. In this talk, we present a uniform version of QE for a certain series of unitary flat bundles using a mixture of semiclassical and geometric quantizations. We shall see that even if analytically unitary flat bundles are similar to the trivial bundle, the holonomy provides extra fascinating geometrical phenomena.

## Departmental Colloquia

**Time: ** 4:00PM - 5:00PM

**Location: ** BLOC 302

**Speaker: **Henri Moscovici

**Title: ***Can one hear the zeros of zeta?*

**Abstract: **Preceding by a half-century the well-known challenge
“Can one hear the shape of a drum?” a similar dare was raised
relative to the Riemann Hypothesis, which in contemporary parlance
goes by the name of “Hilbert-Polya operator”. Very recently Alain
Connes worked out the heat expansion for such an operator, assuming
its existence. After presenting his results I will discuss the connection
with our joint work on the square-root of the prolate spheroidal wave
operator, whose spectrum simulates the zeros of Zeta.

## Can one hear the zeros of zeta?

**Time: ** 4:00PM - 5:00PM

**Location: ** BLOC 302

**Speaker: **Henri Moscovici

**Description: **Preceding by a half-century the well-known challenge
“Can one hear the shape of a drum?” a similar dare was raised
relative to the Riemann Hypothesis, which in contemporary parlance
goes by the name of “Hilbert-Polya operator”. Very recently Alain
Connes worked out the heat expansion for such an operator, assuming
its existence. After presenting his results I will discuss the connection
with our joint work on the square-root of the prolate spheroidal wave
operator, whose spectrum simulates the zeros of Zeta.

## AMUSE

**Time: ** 6:00PM - 7:00PM

**Location: ** BLOC 306

**Speaker: **Dr. William Rundell, Texas A&M University, Mathematics

**Title: ***Eigenvalues; matrices and into differential equations: Can you hear the density of a vibrating string or the shape of a drum?*

**Abstract: **In an undergraduate curriculum one sees eigenvalues in linear algebra and in the basic o.d.e. class one writes systems of equations, converts to a matrix question, and interprets the eigenvalues as pointers to the system's behaviour. We will go over this briefly enough to see the pattern of: "have problem, find eigenvalues, interpret behaviour." But it is a more interesting question to turn this around: "I have a differential equation or a system of such and its eigenvalues are known; what can you say about the system?" This is a partial explanation for the cryptic title. The purpose of the talk is to fill in some of the reasoning (and of course answer the questions in the title).