GEOMETRIC GROUPS AND ANALYSIS
MATH 582G - WINTER 2010
INSTRUCTOR INFORMATION:
Instructor: Steffen Rohde
Office: Padelford C-337, Phone: (206) 543 6171
E-mail: rohde@math.washington.edu
Office hours: TBA
Instructor: Boris Solomyak
Office: Padelford C-328, Phone: (206) 685-1307
E-mail: solomyak@math.washington.edu
Office hours: Mondays 4-5, Tuesdays 11:30-12:30 in C-328,
or by appointment
COURSE DESCRIPTION: This course will be an
introduction, from an analyst's perspective, into a fascinating area which
links Groups, Geometry, Analysis, Dynamics, and Probability. The groups we are
interested in are discrete and infinite, with finitely many generators and
relations. From this data we get the Cayley graph of
a group, which is studied as a metric space. Some topics will be worked out in
detail, whereas others will be presented in overview (in particular, we will
sometimes quote results from other areas without proof). There will be lots of
examples.
The PREREQUISITES
will be kept at a minimum. In particular, we will not assume any knowledge of Group
Theory beyond the very basics, and all concepts from algebra, geometry, topology, analysis or probability (such as presentations,
fundamental group, hyperbolic geometry, harmonic functions, random walk) will
be defined and reviewed.
USEFUL LINKS:
RESERVE LIST (though we will
mostly follow the online articles):
TENTATIVE PLAN
PART I (1st week taught by B. Solomyak, then by S.
Rohde)
PART II (taught mostly by B. Solomyak; some
classes taught by S. Rohde + guest lectures by Asaf Nachmias)