Dear all, I am delighted to announce the following Colloquium of The Department of Mathematics and Applications <https://www.matapp.unimib.it/it/eventi/colloquium-del-dipartimento-matematica-e-applicazioni-prof-gady-kozma>, University of Milano-Bicocca combined with the "Seminario Matematico e Fisico di Milano <https://www.mate.polimi.it/smf/>”. Speaker: Gady Kozma (Weizmann Institute of Science, Rehovot). Title: Harmonic functions on groups. Abstract: The classic Liouville theorem states that any bounded harmonic function on Euclidean space is constant. The same holds for discretely harmonic functions on a lattice. But what happens when the Euclidean lattice is replaced by other graphs, in particular Cayley graphs of groups? We will survey old and new results on relations between geometric and algebraic properties of groups, harmonic functions and probability. Based on joint work with various subsets of Itai Benjamini, Ariel Yadin, Hugo Duminil-Copin, Gidi Amir and Maria Gerasimova. The event will take place on November 30, 2022 at 14.30, in presence, Room 3014, 3rd floor of building U5, University of Milano-Bicocca, Via Roberto Cozzi 55, 20125 Milano. Light refreshments will be served after the talk. Best regards, Tal Orenshtein