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Analysis Seminar on "Spectral Information in Quasiperiodic Systems – linking the finite to the infinite" by Terry Loring (UNM)

Event Type: 
Seminar
Speaker: 
Terry Loring (UNM)
Event Date: 
Friday, February 26, 2021 -
3:00pm to 4:00pm
Location: 
Zoom Meeting ID: 937 6606 4787
Audience: 
General Public

Event Description: 

Title: Spectral Information in Quasiperiodic Systems – linking the finite to the infinite

Abstract: For mathematical and physical reasons, we would like to know about the spectrum of operators that are defined by quasiperiodic data, such as a quasiperiodic tiling of the plane. Physicists often make computations on infinite-area models and then compare to lab experiments that, assuming human experimentalists, are limited to finite-area systems. Going the other way, physicists often rely on computer models, inherently finite, to make deductions regarding the infinite models.

We will discuss various methods to define local spectral data that can be transferred from collections to finite matrices to collections of bounded operators on Hilbert space. The focus will be on the local density of states (LDOS), and how that gives yet another notion of joint spectrum of noncommuting Hermitian operators.

 

About the Speaker: Terry Loring is a Distinguished Professor at UNM. Professor Loring’s area of expertise is operator algebras in particular C*-algebras and K-theory with applications to topological physics. Loring received his  Doctoral degree from the University of California at Berkeley in 1986. Loring was a Research Fellow at several prestigious institutions in the US, UK, and Canada, before joining the faculty at University of New Mexico in 1990 as an Assistant Professor and as an NSF Postdoctoral Fellow. He was promoted to Full Professor in 1999 and to Distinguished Professor in 2020. Professor Loring was Chair of our Department from 2011-2016.  Professor Loring was elected a  2020 Fellow of the AMS for  "contributions to K-theory for operator algebras, for applications in theoretical physics, and for interdisciplinary work involving computer science, quantum chemistry and condensed matter physics".

 

Event Contact

Contact Name: María Cristina Pereyra

Contact Email: crisp@math.unm.edu