Topology of horocyclic flow on geometrically infinite surface - part 1
By Cheikh Lo
Translation surfaces and dynamics on moduli spaces - part 1
By Ferrán Valdez
Geodesic flow on surfaces without conjugate points - part 1
By Khadim Mbacke War
Appears in collection : 2024 - T2 - WS3 - Actions of large groups, geometric structures, and the Zimmer program
In this talk, I will describe an ongoing joint work with Daniel Drimbe in which we show that equivalence relations arising from essentially free ergodic probability measure preserving actions of Zariski dense discrete subgroups of simple algebraic groups are strongly prime. As a consequence, we obtain a unique prime factorization result for direct products of such equivalence relations. This extends and strengthens Zimmer's primeness result for equivalence relations arising from actions of lattices in simple Lie groups (1981). The key novelty in our approach relies on a combination of ergodic theory of algebraic group actions and Popa's intertwining theory for equivalence relations.