Special Lecture Archives for Academic Year 2020

Quantum Information Measures, Matrix Analysis and Recoverability

When: Wed, July 17, 2019 - 11:00am
Where: PSC 3150
Speaker: Marco Tomamichel (University of Technology Sydney) - https://marcotom.info
Abstract: I will present several developments that collectively give us a fruitful new perspective on a fundamental result in quantum information theory, the strong sub-additivity of quantum entropy. I will start by discussing quantum entropy and other information measures, and explain why they are emphatically more interesting and delicate than their commutative analogues. While exploring some of their properties we will encounter the Golden-Thompson inequality which illustrates the mathematical challenges faced when dealing with functions of matrices that do not commute. We will then see how the Golden-Thompson and other norm inequalities can be generalized from two to arbitrarily many matrices using complex interpolation theory. Closing the circle, we will see how the resulting multivariate trace inequality can be used to strengthen strong sub-additivity of quantum entropy, leading us to strong bounds on the recoverability of quantum information.

This talk is based on work in arXiv:1512.02615, arXiv:1604.03023, and arXiv:1609.01999.

Ph.D. Preliminary Oral Exam - Jiaqi Zhou

When: Wed, September 25, 2019 - 9:30am
Where: 1310 Kirwan Hall

TOPIC: Revenue Management of Observable Express Service with Customer Choice

Ph.D. Preliminary Oral Exam - Kayla Davie

When: Fri, October 18, 2019 - 10:00am
Where: 1310 Kirwan Hall
TOPIC: Preconditioners for PDE-Constrained Optimization Problems

Ph.D. Preliminary Oral Exam - David Russell

When: Tue, October 22, 2019 - 2:00pm
TOPIC: Ensemble Methods for Lagrangian Data Assimilation

Ph.D. Preliminary Oral Exam - Nathan Yu

When: Wed, October 23, 2019 - 11:00am

MTH 2400TOPIC: Confounding in Spatial Gaussian Linear Mixed Models

Ph.D. Preliminary Oral Exam

When: Mon, October 28, 2019 - 9:30am
Where: 1310 Kirwan Hall
TOPIC: Bayesian Hierarchical Models for Evidence Synthesis

Ph.D. Preliminary Oral Exam - Mirna Pinsky

When: Fri, November 15, 2019 - 10:00am
Where: MTH 1310
TOPIC: Lagrangian Mean Curvature Flow and Milnor Fibres

Ph.D. Final Oral Exam - Cara Peters

When: Mon, November 18, 2019 - 9:00am
Where: 1310 Kirwan Hall
TOPIC: Modeling Imatinib-Treated Chronic Myelogenous Leukemia and the Immune System


When: Tue, November 19, 2019 - 10:00am
Where: Kirwan Hall 3206
TOPIC: Regression Analysis of Recurrent Events with Measurement Errors

Ph.D. Preliminary Oral Exam - Yichun Zhu

When: Mon, November 25, 2019 - 10:00am
Where: 1310 Kirwan Hall
Smoluchowski-Kramers approximation with Application to a Charged Magnetic Field

Ph.D. Final Oral Exam - Xu Zhang

When: Tue, December 3, 2019 - 2:00pm
Where: 3332 Van Munching Hall
Topic: New Statistical Methods to Better Leverage Emerging Health Care Utility Data

Ph.D. Preliminary Oral Exam - Shin Eui Song

When: Mon, December 9, 2019 - 2:00pm
Where: 1310 Kirwan Hall
TOPIC: Yoshida’s Approach to the Depth 0 Local Langlands Correspondence

Ph.D. Final Oral Exam - Tianhui Zhang

When: Mon, December 16, 2019 - 1:30pm
Where: 1310 Kirwan Hall
TOPIC: Markov multi-state models for survival analysis with recurrent events

Anomalous dissipation for passive scalars

When: Mon, January 27, 2020 - 3:00pm
Where: Kirwan Hall 3206
Speaker: Theodore Drivas (Princeton University) - https://web.math.princeton.edu/~tdrivas/
Abstract: We study anomalous dissipation in hydrodynamic turbulence
in the context of passive scalars. We give an example of a rough divergence-free
velocity field that explicitly exhibits anomalous dissipation for passive scalars.
The mechanism for scalar dissipation is a built-in direct energy cascade in the
synthetic velocity field. Connections to the Obukhov–Corrsin monofractal theory
of scalar turbulence and to inviscid mixing will be discussed. This is joint work
with T. Elgindi, G. Iyer and I-J Jeong.

On the stability of quasi-periodic motion in real analytic Hamiltonian dynamics

When: Fri, February 7, 2020 - 2:00pm
Where: 3206 Kirwan Hall

Speaker: Bassam Fayad ( Institut de Mathematiques de Jussieu-Paris Rive Gauche )
Dynamical Systems seminar

Department Hiring Meeting

When: Wed, February 19, 2020 - 3:15pm
Where: Kirwan 3206