QG and RH, an analogy
Seminar Room 1, Newton Institute
We shall start from the role of KMS states in two different contexts, first in arithmetic then in the electroweak phase transition in particle physics. We shall then build a dictionary between the set-up of noncommutative geometry leading to the spectral realization of the zeros of the Riemann zeta function and a tentative set-up to encode the spectral model in Lorentzian signature, allowing to relate to cosmological models. This is joint work with Matilde Marcolli.