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# Events for October 2, 2017 from General and Seminar calendars

## Geometry Seminar

**Abstract:** Let (M,g) be a compact smooth Riemannian manifold. This talk focuses on connecting the structure of geodesics on (M,g) to the behavior of eigenfunctions of the Laplacian at high frequencies. I will explain a physical heuristic for why such a connection should exist. I will then present some new estimates for the second term in the pointwise Weyl Law. These estimates imply that if the geodesics passing through a given point on M are dispersive (in a suitable sense), then the spectral projector of the Laplacian onto the frequency interval (lambda,lambda+1] has a universal scaling limit as lambda goes to infinity (depending only on the dimension of M). This is joint work with Y. Canzani.

## Working Seminar in Groups, Dynamics, and Operator Algebras

## Douglas Lectures

**Abstract:** Quantum information is an umbrella term that is used to encompass such topics as quantum computing, quantum cryptography, quantum information theory, quantum error correction, quantum entanglement theory, and quantum information processing. In this talk, I will give a brief introduction to as many fundamental topics in quantum information that I can possibly fit into one talk. I'll start by going through the formulation of quantum information from postulates of quantum mechanics, with emphasis on the linear algebra and operator theoretic perspective. Time dependent, I will then touch on aspects of quantum entanglement theory, quantum algorithms and universal sets of unitary gates, quantum error correction, and quantum privacy.

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

**Location:** BLOC 628

**Speaker:** Boris Hanin, TAMU

**Title:** *Pointwise Estimates in the Weyl Law on a Compact Manifold*

**Time:** 3:00PM - 3:50PM

**Location:** BLOC 624

**Speaker:** Jintao Deng, Texas A&M University

**Title:** *Property A II*

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

**Location:** Blocker 117

**Speaker:** David Kribs, University of Guelph

**Title:** *Quantum Information: A (Brief) Mathematical Introduction*