November 21, 2023

**Title:** *Large eigenvalues of the Connes—Moscovici operator (MI talk) *

**Speaker:** Michal Wrochna

Recently, Connes and Moscovici introduced an operator whose eigenvalues are conjectured to be related to zeros of the Riemann zeta function. It is given by a familiar differential expression, which however needs to be interpreted in a peculiar way. It turns out that this operator bears resemblance to certain geometric partial differential equations that „switch" from elliptic to hyperbolic and which arise e.g. in General Relativity. I will explain how that resemblance arises and what implications it has for (large enough) eigenvalues of the Connes—Moscovici operator.