Arithmetic reflection groups and crystallographic packings

December 14 to December 18, 2020

at the

American Institute of Mathematics, San Jose, California

organized by

Misha Belolipetsky, Alex Kontorovich, and Alice Mark

Original Announcement

This workshop will be devoted to the complete classification of maximal hyperbolic arithmetic reflection groups. About 15 years ago, the number of such groups was shown to be finite, leaving open the possibility of fully determining all of them, in a way that makes them accessible for other applications, e.g., to the study of crystallographic sphere packings. Recent advances, both theoretical and algorithmic, make it plausible that with sufficient collaborative effort by experts in diverse areas from geometry/topology, dynamics, arithmetic groups, and number theory, we will be able to complete this program.

The main topics of the workshop are:

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.