Title : Harmonic functions on groups
Date and Time: 18 February, 2025. 4 PM - 5 PM
Venue: Classroom 216, department of Mathematics
Abstract : In this talk, we will discuss about finitely generated groups
with a probability measure and the associated theory of harmonic
functions. We shall study the notions of (weak) Liouville property and
strong Liouville property, and see a characterisation of strong Liouville
property. Further, we shall discuss about Green speed, Green metric and
observe their relations with strong Liouville property. Finally, we study
slowly growing harmonic functions and how they descend onto finite index
subgroups. This is based on an ongoing joint work with Mayukh Mukherjee
and Soumyadip Thandar.