Seminário de Álgebra - "Decision Problems in Homeomorphism Groups"

Monod’s group H := H(R) introduced in (Monod, Proc. Nat. Acad. Sci. 110(12), 2013, 4524–4527.) is a group of piecewise projective orientationpreserving homeomorphisms of R∪{∞} which stabilize infinity and is another counterexample of the von Neumann-Day conjecture. In this talk we discuss current progress on the study of the conjugacy problem and centralizers in H and its subgroups by generalizing techniques developed in (Kassabov and Matucci, Groups, Geom. Dyn. 6(2),2012, 279– 315) and (Burillo, Matucci, Ventura, Israel J. Math. 216(1), 2016, 15–59).