Low-dimensional Topology and Number Theory (07w5052)

Arriving in Banff, Alberta Sunday, October 21 and departing Friday October 26, 2007

Organizers

(University of British Columbia)

(University of Massachusetts Amherst)

(Columbia University)

Adam Sikora (State University of New York (SUNY) - Buffalo)

Objectives

The goal of the workshop is to bring together topologists and number
theorists with the intent of exploring the above connections between
low-dimensional topology and number theory. The emphasis will be on
interaction between these two 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 large areas of overlap among the
topics above and the research interests of the proposed participants
means that the intimate setting of Banff is ideal for such a workshop.

The time is ripe for such a workshop. Most of these connections
between number theory and topology are recent, and to date there
has never been a meeting devoted to exploring all of 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 fields.