Events for 03/06/2023 from all calendars

Free Probability and Operators

Time: 09:00AM - 10:00AM

Location: ZOOM

Speaker: March Boedihardjo, ETH Zurich

Title: Spectral norm and strong freeness: Proofs

Abstract:

I will begin by proving an estimate for a quantity introduced by Tropp. I will then give a combinatorial proof and an analytic proof of the main result in my previous talk.

References:

• https://arxiv.org/abs/2104.02662
• https://arxiv.org/abs/2108.06312

ZOOM LINK: https://tamu.zoom.us/j/97389162643

Geometry Seminar

Time: 3:00PM - 4:00PM

Location: BLOC 302

Speaker: H. Huang, Auburn

Title: New examples of basic vector spaces of matrices of low rank

Abstract: A linear subspace of the space of bxc matrices is of bounded rank r if no matrix in the space has rank greater than r. Classifications of such spaces is an interesting and important problem. The only cases known are when r \leq 3 with two proofs given by Artkinson via the study of Atkinson normal form and Eisenbud-Harris via the study of the first Chern class of a sheaf associated to the space. We will discuss a connection between these two approaches. Then we will discuss recent developments of this problem when r = 4 by linking it with the study of space of complexes of length 3.