Modul: MAT675 PDE and Mathematical Physics

## Toeplitz operators and the large spin limit

Alix Deleporte talk

Speaker invited by: Prof. Dr. Benjamin Schlein

**Date:** 27.09.18 **Time:** 15.00 - 16.00 **Room:** Y27H46

The large spin limit is commonly seen as a semiclassical limit. The Berezin-Toeplitz quantization gives a mathematical background to this interpretation. In this talk, I will present this quantization, which is also useful when dealing with problems from Weyl quantization. I will present recent results about the spectrum of Toeplitz operators in the semiclassical limit, in smooth as in analytic regularity, and their applications to the low-temperature properties of frustrated spin systems.