# Seminar at SMU Delhi

March 23, 2016 (Wednesday) , 3:30 PM at Webinar
Speaker: Jyotishman Bhowmick, Indian Statistical Institute, Kolkata
Title: On compact quantum metric spaces from length functions
Abstract of Talk
Let $\gamma$ be a ( possibly non abelian ) countable discrete group. Motivated by the construction of the Dirac operator, Connes attaches a spectral data to the group $\gamma$, which comes from some length function. It is a striking fact that this spectral data remembers some properties (like growth ) of the group. The spectral data gives rise to analogues of metric spaces for the noncommutative space given by the group ring of $\gamma$.