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.

Registration
The registration is now closed.

If you have questions, please contact a3m22@mpim-bonn.mpg.de.

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

Starting February 15, Don Zagier will give a lecture course entitled "Standard and less standard asymptotic methods". This course will be given in collaboration with the IGAP (Institute of Geometry and Physics, a new joint venture between SISSA and ICTP in Trieste).

The course will be streamed from Trieste twice a week (Tu/Th 4-5:30 for the first four weeks and Mo/We 2-3:30 for the last two weeks).