Mathematical Physics Seminar, Tues, Nov 30, 4:30 pm, Jadwin A-06, Simone Warzel, TU-Munich, “The Spectral Gap in Fractional Hall Systems”

Tue, Nov 30, 2021, 4:30 pm
Location: 
Jadwin A-06
Speaker(s): 

In this talk I will give an overview of recent progress regarding mathematical questions and proofs of the spectral properties of Haldane pseudo-potentials. These are short range interactions projected onto the lowest Landau level and are tailored to model properties of fractional Hall fluids and their excitations as well as rotating Bose gases. I will sketch a strategy which establishes the spectral gap in a truncated system which describes a thin-cylinder limit.  (Based on joint works with B. Nachtergaele and A. Young)