10.05.22

Alan Reid (Rice University and MPIM Bonn)

Title

Profinite rigidity, direct products and finite presentability

Abstract

A finitely generated residually finite group G is called profinitely rigid, if for any other finitely generated residually finite group H, whenever the profinite completions of H and G are isomorphic, then H is isomorphic to G. In this talk we will review what is known about this in the context of groups arising in low-dimensional geometry and topology. We will then discuss some recent work that constructs finitely presented groups that are profinitely rigid  amongst finitely presented groups but not amongst finitely generated one.

Schedule

10:00 - 11:30 RTG Lecture 1 | 5. OG, Konferenzraum
11:30 - 12:00 Get-Together with speaker | 5. OG, Konferenzraum
12:00 - 13:00 Common lunch | reserved at BräuStadel After Lunch Coffee Foyer UG
13:00 - 13:30 Informal meeting of PhD students | SR B
13:30 - 14:30 RTG colloquium: SR B
14:30 - 15:15 Common tea | Foyer UG
15:15 - 16:45 RTG Lecture 2 | Kleiner Hörsaal INF 231 COS

HD