Due to the ongoing COVID pandemic, the meeting will be conducted through Online Lectures. The second in a series of meetings focussing on the interface between hyperbolic geometry, probability and ergodic theory, this meeting will be on two topics.1. Percolation on general background geometries2. Invariant Random SubgroupsBernoulli percolation is a canonical model of random geometry. Although a lot of the attention has been devoted to percolation on Euclidean lattices, starting with the work of Benjamini, Schramm and co-authors in the 1990s, tremendous progress has also been made in understanding percolation in different and more general background geometries. Following the new results uncovered by Hutchcroft and coauthors, there has been a revived interest on the subject in the recent years. Also, moving away from independence, level set percolation of the Gaussian free field has emerged as a particularly important and useful model of study. An invariant random subgroup (IRS) of a l...
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