Algebra/Topology seminar

Speaker: Ezekiel Lemann

Abstract: In this talk we will discuss homological stability for scissors automorphism groups and highlight a number of consequences and related results. These include plus and group completion constructions for assembler K-theory, interpreting higher K-theory in terms of automorphism groups, and homology calculations for some scissors automorphism groups. The group of interval exchange transformations will be our principal example for calculations, but we will also discuss applications to Thompson's group V. The content of the talk is joint work with Kupers, Malkiewich, Miller, and Sroka.