Szegedy Balázs (Toronto):
On Sidorenko's Conjecture
The Erdos-Simonovits-Sidorenko conjecture is well-known in combinatorics
but it has equivalent formulations in analysis and probability theory.
The shortest formulation is an integral inequality related to Mayer
integrals in statistical mechanics and Feynman integrals in quantum field
theory. We present new progress in the area using couplings of
probability spaces and entropy calculations.
Part of the talk is based on joint results with J.L. Xiang Li.