## Mathematical Physics and Gauge Theory

•  Marius Lemm, IAS
•  Spectral gaps without frustration
•  11/02/2017
•  11:00 AM - 12:00 PM
•  C304 Wells Hall

In spin systems, the existence of a spectral gap has far-reaching consequences. "Frustration-free" spin systems form a subclass that is special enough to make the spectral gap problem amenable and, at the same time, broad enough to include physically relevant examples. We discuss "finite-size criteria", which allow to bound the spectral gap of the infinite system by the spectral gap of finite subsystems. We focus on the connection between spectral gaps and boundary conditions.

## Contact

Department of Mathematics
Michigan State University