The EMS lectures at Inst Mittag-Leffler of Karen Vogtmann are fixed as follows:
Tuesday, March 6, 14:00-15:00
Wednesday, March 7, 14:00-15:00
Thursday, March 8, 14:00-15:00
Title: The topology and geometry of automorphism groups of free groups.
Abstract: Free groups, free abelian groups and fundamental groups of
closed orientable surfaces are the most basic and well-understood
examples of infinite discrete groups. The automorphism groups of
these groups, in contrast, are some of the most complex and intriguing
groups in all of mathematics. In these lectures I will concentrate
on groups of automorphisms of free groups, while drawing analogies
with the general linear group over the integers and surface mapping
class groups. I will explain modern techniques for studying
automorphism groups of free groups, which include a mixture of
topological, algebraic and geometric methods.