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Arithmetic Groups and 3-Manifolds, May 16-20, 2022

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Alan Reid, Holger Kammeyer, Steffen Kionke and Haluk Șengün
Mon, 16/05/2022 - 09:00 - Fre, 20/05/2022 - 16:00

Arithmetic Groups and 3-Manifolds

Arithmetic groups provide a fruitful link between various areas, such as geometry, topology, representation theory and number theory. Methods from geometry and topology hinge on the fact that arithmetic groups are lattices in Lie groups, whereas the theory of automorphic forms establishes a connection to representation theory and number theory. This interplay is especially intriguing in the setting of hyperbolic 3-manifolds. Indeed many conjectures in 3-manifold theory tend to be much more accessible for hyperbolic 3-manifolds whose fundamental groups are arithmetic, and conversely such manifolds provide the simplest set-up in which some of the most exciting new phenomena in the Langlands program can be studied. This conference will bring together researchers with various backgrounds around links between number theory and 3-manifolds. Central topics of the conference are the cohomology of arithmetic groups, the relation between torsion and L²-torsion, profinite invariants of 3-manifolds, and number theoretic ramifications.

Limited funding to cover travel cost and accommodation is available for early carreer participants.

The conference is planned as a hybrid event.

Who can participate?
We are currently planning to run the event according to the "3G" rule, which means you have to be fully vaccinated (with a EU-recognized vaccine, at least 2 doses, last vaccination at least 14 days previously) OR recovered from Covid (positive test min. 28 days and max. 90 days old) OR tested (certified negative test result not older than 24 h (rapid antigen test) or 48 h (PCR test)). There currently is a mask obligation in the institute.
It will be announced here, in case these regulations change.

The registration is now closed.

If you have questions, please contact

For the schedule see the "details/program" above.


In person:
Misha Belolipetsky - IMPA
Tobias Berger - University of Sheffield
Nathan Dunfield - UIUC
Dawid Kielak - University of Oxford
Boris Okun - UW Milwaukee / MPIM
Anke Pohl  University of Bremen
Jean Raimbault - Université Paul Sabatier - Toulouse
Cameron Rudd - UIUC
William Stagner - Rice University
Matthew Stover - Temple University

Martin Bridson - University of Oxford
Mikolaj Fraczyk - University of Chicago
Luis Garcia - UCL, London
Michael Lipnowski - McGill University
Clara Löh - University Regensburg
Ben McReynolds - Purdue University
Aurel Page - INRIA
Bram Petri - Jussieu
Tian An Wong - University of Michigan-Dearborn


Holger Kammeyer - Heinrich-Heine University Düsseldorf
Steffen Kionke - FernUniversität in Hagen
Alan Reid - Rice University / MPIM
Haluk Șengün - University of Sheffield



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