Discovered around 1965, Thompson's groups F, T, V are countable groups whose elements can be represented as homeomorphisms of a real interval, of the circle, and of the Cantor set, respectively. Today, they appear in many different areas of mathematics: dynamical systems, foliations, geometric topology, group homology, lattices in Lie groups, Virasoro algebra.
In the spirit of the workshop organized in 2004 at the AIM in Palo Alto, the aim of the meeting is to report about recent progress in the study of Thompson's groups and their many applications, and to provide young mathematicians with an opportunity to become familiar with these fascinating objects.

Sponsored by:

• Laboratoire de Mathématiques Nicolas Oresme (Caen),
• Institut Joseph Fourier (Grenoble),
• Laboratoire Emile Picard (Toulouse),
• ANR Programme Symplexe.

Program committee: M.Brin (Binghamton), L.Funar (Grenoble), E.Ghys (Lyon, chair), V.Guba (Vologda) C.Kapoudjian (Toulouse), V.Sergiescu (Grenoble),

Organizing committee: P.Dehornoy (Caen), V.Sergiescu (Grenoble).

Scientific program: Three series of minicourses (3 times 60' each):

• Matthew Brin, Cousins of Thompson's groups
• Etienne Ghys & Vlad Sergiescu, Cohomology of Thompson's groups: old results!
• Dave Morris, Using left-invariant orders to study actions on 1-manifolds

List of participants: Click here.

List of abstracts: Click here.

Schedule: Click here.