GEOMETRIC GROUPS AND ANALYSIS
MATH 582G - WINTER 2010
Instructor: Steffen Rohde
Office: Padelford C-337, Phone: (206) 543 6171
Office hours: TBA
Instructor: Boris Solomyak
Office: Padelford C-328, Phone: (206) 685-1307
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.
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.
RESERVE LIST (though we will mostly follow the online articles):
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)