Torsion in the homology of arithmetic groups: geometry, arithmetic, and computation (12w5075)

Arriving in Banff, Alberta Sunday, July 1 and departing Friday July 6, 2012

Organizers

(Northwestern University)

(University of Massachusetts Amherst)

(Stanford University)

Objectives

The goal of the workshop is to bring together computational number theorists and geometers, especially workers in the Langlands program and experts in geometry and analysis on noncompact manifolds, with the intent of exploring these new directions in geometry and number theory. The emphasis will be on interaction between these groups of researchers, with the hopes of engendering cross-fertilization and new and unusual collaborations.

All of the proposed participants are either active in these areas or have professed interest in them. The emerging connections of the topics above and the research interests of the proposed participants, coupled with the intimate setting of BIRS, should ensure many opportunities for progress.

The time is ripe for such a workshop. Most of these developments are very recent, and there has never been a meeting focused on them. Bringing together a group of researchers in these areas will likely lead to significant breakthroughs in current research programs, and may also uncover new connections between these topics.