Harmonic Maps and Random Walks on Countable Groups

Explore a mathematical lecture on harmonic maps and random walks on countable groups presented by Hiroyasu Izeki at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the intricacies of CAT(0) spaces and group actions, focusing on the conditions under which a countable group's action on such spaces leads to the existence of an invariant flat subspace. Learn about the crucial role of equivariant harmonic maps in proving this result. Gain insights into the interplay between geometry, group theory, and probability as part of the "Geometry beyond Riemann: Curvature and Rigidity" thematic programme. Enhance your understanding of advanced mathematical concepts in this 49-minute talk that bridges multiple areas of mathematics.