Events for 02/19/2021 from all calendars

Seminar in Random Tensors

Time: 11:00AM - 12:00PM

Location: zoom

Speaker: Henrique Goulart, U. Toulouse

Title: A random matrix perspective on spiked tensor models

Abstract: Both from a theoretical and a methodological viewpoints, low-rank tensor estimation from noisy data is a difficult problem, however rich of a host of applications in numerous domains. Though many different methods have been developed to address it, no theory is available for predicting their performance in practice. Progress has been recently made by studying the asymptotic performance of estimators of certain so-called spiked tensor models, the dimensions of which are assumed to be rather large. Yet, these results rely upon techniques and concepts borrowed from statistical physics, which are largely inaccessible to non-experts and difficult to extend to other, more general tensor models. In this talk, I will show how standard but powerful tools from random matrix theory can be leveraged to study these low-rank tensor estimators, opening a new window into spectral properties of random tensors and allowing one to reach several predictions that had been previously obtained only with the statistical physics machinery.

Teaching Online Departmental Open Forum

Time: 12:00PM - 1:00PM

Location: Zoom

Speaker: Vanessa Coffelt & Justin Cantu, Texas A&M University

Description: All forums will be from 12:00 pm to 1:00 pm. The topic will be emailed to faculty the week prior to the forum. We will use the following Meeting ID: 979 6560 9771, and will send out the password in the emails.

Noncommutative Geometry Seminar

Time: 1:00PM - 2:00PM

Location: Zoom 951 5490 42

Speaker: Eckhard Meinrenken, University of Toronto

Title: Differential Geometry of Weightings

Abstract: The idea of assigning weights to local coordinate functions appears in many areas of mathematics, such as singularity theory, microlocal analysis, sub-Riemannian geometry, or the theory of hypo-elliptic operators, under various terminologies. In this talk, I will describe some differential-geometric aspects of weightings along submanifolds. This includes a coordinate-free definition, and the construction of weighted normal bundles and weighted deformation spaces. As an application, I will discuss the osculating tangent bundle for Lie filtrations, and the corresponding tangent groupoid of Choi-Ponge, van Erp-Yuncken, and Haj-Higson. (Based on joint work with Yiannis Loizides.)

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