[Binghamton Geometry Topology Seminar] This week: Yash Lodha

[jwilliams at math.binghamton.edu]

Thursday, March 7, 2:50pm in WH 100E

Speaker: Yash Lodha (Ecole Polytechnique federale de Lausanne)

Title: Finitely generated simple left orderable groups, commutator width
and orderable monsters

Abstract: In 1980 Rhemtulla asked whether there exist finitely generated
simple left orderable groups. In joint work with Hyde, we construct
continuum many such examples, thereby resolving this question. In recent
joint work with Hyde, Navas, and Rivas, we demonstrate that among these
examples are also so called ``left orderable monsters”. This means that
all their actions on the real line are of a certain desirable dynamical
type. This resolves a question from Navas's 2018 ICM proceedings article
concerning the existence of such groups.