Home /  RAS - Research Seminar (Part 1): Congruence RFRS towers

Seminar

RAS - Research Seminar (Part 1): Congruence RFRS towers October 12, 2020 (09:00 AM PDT - 10:00 AM PDT)
Parent Program:
Location: SLMath: Online/Virtual
Speaker(s) Matthew Stover (Temple University)
Description

To participate in this seminar, please register here: https://www.msri.org/seminars/25205

This is one of the research seminars for the RAS program, that distinguishes itself from the postdocs and program associates seminars in that speakers are chosen among Research Members, Research Professors with occasional outside speakers.

Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Congruence RFRS Towers

Abstract/Media

To participate in this seminar, please register here: https://www.msri.org/seminars/25205

Abstract:

Ian Agol introduced the concept of a RFRS (residually finite rational solvable) tower, a purely group theoretic condition, in showing certain hyperbolic 3-manifolds virtually fiber over the circle. I will talk about joint work with Agol where we develop general tools one can use to find RFRS towers consisting of congruence subgroups of certain arithmetically defined groups. We will then apply these tools to show that many arithmetic hyperbolic 3-manifolds virtually fiber on a congruence subgroup and to answer a question of Friedl and Vidussi.

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Congruence RFRS Towers

H.264 Video 25310_28868_8561_Congruence_RFRS_Towers.mp4