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MINICOURSE ON COMPLEX HYPERBOLIC
GEOMETRY
MAY 13  24, 2002
Thirteen graduate students from various universities
participated in the University of Utah's MiniCourse on Complex
Hyperbolic Geometry. On the first day, there were two lectures in
the morning and one lecture in the afternoon. After that, there were
two lectures in the morning and a problem session in the
afternoon. Wednesday afternoons were free.
During the first week, either Jim Carlson or Domingo Toledo
lectured on basic geometry of complex hyperbolic space: models of
complex hyperbolic geometry, curvature properties, totally geodesic
submanifolds, boundary of complex hyperbolic space, the Heisenberg
group, groups of isometries, and actions of discrete groups. The
problem sessions were led by Martin Deraux and Javier Fernandez.
This provided a good opportunity to learn basic complex hyperbolic
geometry.
During the second week, Richard Schwartz (University of Maryland)
lectured on discrete group actions on complex hyperbolic space. His
lectures lead to a discussion of his work on the GoldmanParker
conjecture on deformations of triangle groups and on the work of
Falbel and Parker. Elisha Falbel (University of Paris) also gave
some lectures during the second week. This was a good
opportunity to learn the current state of research in complex
hyperbolic geometry.
Sunday, May 12, 2002
 19:0022:00...Barbecue at Jim Carlson's house
Monday, May 13, 2002
 10:0011:00..."The Real Hyperbolic Plane" Lecture by Jim Carlson (LCB 225)
 11:0011:30...Break (LCB 322)
 11:3012:30...Lecture by Jim Carlson  Continued (LCB 225)
 12:3014:00...Lunch
 14:0016:00..."Triangle Groups and Tilings" Lecture by Martin Deraux (LCB 225)
Tuesday, May 14, 2002
 10:0011:00..."Higher Dimensional Real & Complex Hyperbolic
Spaces" Lecture by Domingo Toledo (LCB 225)
 11:0011:30...Break (LCB 322)
 11:3012:30...Lecture by Domingo Toledo  Continued (LCB 225)
 12:3014:00...Lunch
 14:0016:00...Problem Sessions led by Martin Deraux and Javier
Fernandez (LCB 225)
Wednesday, May 15, 2002
 10:0011:00..."Complex Hyperbolic Isometries, Their
Classification" Lecture by Jim Carlson (LCB 225)
 11:0011:30...Break (LCB 322)
 11:3012:30..."Metric & Curvature Properties of Complex Hyperbolic
Space" Lecture by Domingo Toledo (LCB 225)
 12:3014:00...Lunch
 Afternoon...Free (no scheduled activities)
Thursday, May 16, 2002
 10:0011:00..."Boundary of Complex Hyperbolic Space & Heisenberg
Geometry" Lecture by Domingo Toledo (LCB 225)
 11:0011:30...Break (LCB 322)
 11:3012:30...Lecture by Domingo Toledo  Continued (LCB 225)
 12:3014:00...Lunch
 14:0016:00...Problem Sessions led by Martin Deraux and Javier
Fernandez (LCB 225)
Friday, May 17, 2002
 10:0011:00..."Limit Sets" Lecture by Jim Carlson (LCB 225)
 11:0011:30...Break (LCB 322)
 11:3012:30..."Arithmetic Construction of Discrete Groups" Lecture
by Domingo Toledo (LCB 225)
 12:3014:00...Lunch
 14:0016:00...Problem Sessions led by Martin Deraux and Javier
Fernandez (LCB 225)

Sunday, May 19, 2002
 14:3020:00...Hike and Barbecue in Mill Creek Canyon
Monday, May 20, 2002
 10:0011:00...Lecture (LCB 225)
 11:0011:30...Break (LCB 322)
 11:3012:30...Lecture (LCB 225)
 12:3014:00...Lunch
 14:0016:00...Problem Sessions led by Martin Deraux and Javier
Fernandez (LCB 225)
Tuesday, May 21, 2002
 10:0011:00...Lecture (LCB 225)
 11:0011:30...Break (LCB 322)
 11:3012:30...Lecture (LCB 225)
 12:3014:00...Lunch
 14:0016:00...Problem Sessions led by Martin Deraux and Javier
Fernandez (LCB 225)
Wednesday, May 22, 2002
 10:0011:00...Lecture (LCB 225)
 11:0011:30...Break (LCB 322)
 11:3012:30...Lecture (LCB 225)
 12:3014:00...Lunch
 Afternoon...Free (no scheduled activities)
Thursday, May 23, 2002
 10:0011:00...Lecture (LCB 225)
 11:0011:30...Break (LCB 322)
 11:3012:30...Lecture (LCB 225)
 12:3014:00...Lunch
 14:0016:00...Problem Sessions led by Martin Deraux and Javier
Fernandez (LCB 225)
Friday, May 24, 2002
 10:0011:00...Lecture (LCB 225)
 11:0011:30...Break (LCB 322)
 11:3012:30...Lecture (LCB 225)
 12:3014:00...Lunch
 14:0016:00...Problem Sessions led by Martin Deraux and Javier
Fernandez (LCB 225)

