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Seminar

Discrete rearrangement inequalities

Speaker
Shubham Gupta (Tsinghua)
Date
Tue, Feb 4 2025, 4:00pm
Location
384H
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In the continuum, rearrangement inequalities is a classical theory that has been quite useful in solving problems coming from various parts of analysis: spectral geometry, calculus of variations, mathematical physics, spectral theory, to name a few. In my talk, I will discuss possible extensions of this theory to the discrete setting of graphs. It is a fairly new topic and most of the results in the area are proved in the last few years. I will talk about these developments, its connections with discrete isoperimetric inequalities, and its possible applications to problems concerning "analysis on graphs". The talk will be at the interface of discrete mathematics and analysis, and will be based on results obtained jointly with Stefan Steinerberger.