Recent Progress in Mathematics and Statistics Seminar ‘Topological invariants of groups and tropical geometry’
Alexandru Suciu, Northeastern University
9 December 2022
Abstract: There are several topological invariants that one may associate to a finitely generated group G – the characteristic varieties, the resonance varieties, and the Bieri-Neumann-Strebel invariants – which keep track of various finiteness properties of certain subgroups of G. These invariants are interconnected in ways that makes them both more computable and more informative. I will describe one such connection, made possible by tropical geometry, and I will provide examples and applications pertaining to complex geometry and low-dimensional topology.