Alain Connes - Entropy and the spectral action
Channel: Institut des Hautes Études Scientifiques (IHÉS)
Date: 22/12/2018

This is joint work with A. Chamseddine and W. van Suijlekom. We compute the information theoretic von Neumann entropy of the state associated to the fermionic second quantization of a spectral triple. We show that this entropy is given by the spectral action of  the  spectral  triple  for  a  specific  universal  function.  The  main  result  is  the  surprising relation between this function and the Riemann zeta function.