PDE / Analysis Seminar

Tuesday, September 08, 2020 at 4:00pm to 5:00pm

Virtual Event

Featured SpeakerMaciej Zworski (UC Berkeley)

Title :  Mathematics of magic angles for bilayer graphene

Abstract

Magic angles are a hot topic in condensed matter physics: when two sheets of graphene are twisted by those angles the resulting material is superconducting. Please do not be scared by the physics though: I will present a very simple operator whose spectral properties are thought to determine which angles are magical.  It comes from a recent PR Letter by Tarnopolsky-Kruchkov-Vishwanath.  The mathematics behind this is an elementary blend of representation theory (of the Heisenberg group in characteristic three), Jacobi theta functions and spectral instability of non-self-adjoint operators (involving Hörmander’s bracket condition in a very simple setting).  The results will be illustrated by colourful numerics which suggest some open problems. The talk is based on a "summer relaxation project" with S. Becker, M. Embree and J. Wittsten.

 

Zoom link: https://mit.zoom.us/j/94123420042?pwd=R2I3aG53b0NHZk1wa1JPU3J5TXZKZz09

Zoom password: 577126

 

Event Type

Conferences/Seminars/Lectures

Events By Interest

Academic

Events By Audience

Public

Events By School

School of Science

Tags

pde_sem, aldixon, sherport

Website

https://math.mit.edu/seminars/pde-ana...

Department
Department of Mathematics
Hashtag

#PDEAnalysisSeminar

Contact Email

ksieradz@mit.edu

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