Member Seminar Speaker: Elena Kim Title: A beginner's guide to quantum unique ergodicity Abstract: The Quantum Unique Ergodicity conjecture is one of the main open questions in quantum chaos. I will explain the conjecture and the progress towards its resolution.
Member Seminar Speaker: Lorenzo Riva, CMSA Title: Un-extending extended TQFTs Abstract: An ordinary topological quantum field theory (TQFT) assigns invariants to manifolds of dimensions n in a way that is compatible with cutting-and-gluing along submanifolds of dimension n-1. An extended TQFT assigns invariants that are also compatible with cutting along submanifolds of all codimensions. One way to […]
Member Seminar Speaker: Aaron Landesman Title: Painlevé VI: the search for canonical representations Abstract: In 1902, Painlevé classified second order differential equations whose only movable singularities are poles, thereby obtaining the six Painlevé equations. Algebraic solutions to Painlevé's sixth equation correspond to canonical triples of 2 by 2 complex matrices. One can alternatively view these […]
Member Seminar Speaker: Yiqi Liu Title: An Introduction to Statistical Inference for Partially Identified Models Abstract: Classical statistical inference often relies on asymptotic approximations that are valid for each fixed data-generating process but may fail to hold uniformly over a class of relevant distributions. Starting with the familiar t-test, I will illustrate why this distinction […]