Logic Seminar

Bilge KoksalCornell University
Definable homology and solenoid rigidity part II

Monday, December 4, 2023 - 2:55pm
Malott 205

This talk will present work of Bergfalk, Lupini, and Panagiotopoulos. Last time we introduced and discussed some properties of definable homology. In this talk we will see how definable Steenrod homology provides more refined invariants than its classical version, namely we will prove that definable Steenrod homology completely classifies solenoids upto homeomorphism whereas there is an uncountable family of pairwise non-homeomorphic solenoids with isomorphic classical Steenrod homology groups.