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Explore a mathematical conjecture about correlation inequalities for non-Abelian spin systems and lattice gauge theories in this 48-minute conference talk. Examine how these inequalities relate to invariant observables and are expressed through non-interacting probability measures, potentially leading to analogues of the GKS inequality at non-zero coupling. Discover the testing methodology for these conjectured inequalities when integrands are raised to large powers, where the inequalities can be rigorously proven. Learn about the collaborative research conducted with Gennady Uraltsev and Joe Webster that contributes to this advanced topic in mathematical physics and statistical mechanics.
