Section de mathématiques,
Rue du Conseil-Général 7-9
1205 Genève, Switzerland
Zhihao Duan: zhihao [dot] duan [at] unige [dot] ch
Matijn François: matijn [dot] francois [at] unige [dot] ch
These seminars at the section of mathematics of the university of Geneva cover a range of topics at the intersection of mathematics and modern theoretical physics.
Each session features a one-hour talk followed by a brief discussion and questions session.
The seminars take place biweekly on Fridays, at 14:00 in room 8-08 of the maths building.
Abstract: Functional difference operators arise naturally in several areas of mathematical physics. As differential operators of “infinite order”, they push classical spectral methods to their limits. In this talk, I will give an overview of some of these techniques, notably the Birman–Schwinger principle, and present recent results establishing Lieb–Thirring-type bounds for the discrete spectrum of such operators. I will also discuss the emergence of resonances in a particular case.
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