Representation stability

June 27 to July 1, 2016

at the

American Institute of Mathematics, San Jose, California

organized by

Andrew Putman, Steven Sam, Andrew Snowden, and David Speyer

Original Announcement

This workshop will be devoted to recent developments in representation stability. Among these developments are results on algebraic and combinatorial aspects of functor categories and stable representation categories, and the use of "large" algebraic structures on limit objects to obtain finiteness results. A key goal will be to foster an exchange of ideas between the algebraic, topological, and combinatorial sides of the subject.

The main topics for the workshop are:

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

A list of open problems.

Papers arising from the workshop:

Central stability homology
by  Peter Patzt
Representation stability for filtrations of Torelli groups
by  Peter Patzt
Central stability for the homology of congruence subgroups and the second homology of Torelli groups
by  Jeremy Miller, Peter Patzt, and Jennifer C. H. Wilson
Deligne categories and representations of the infinite symmetric group
by  Daniel Barter, Inna Entova-Aizenbud, and Thorsten Heidersdorf