PCMI 12 -- Geometric Group Theory
Week 1 seminar schedule with
abstracts.
Week 2 seminar schedule with
abstracts.
Week 3 seminar schedule with
abstracts.
Schedule of lectures and TA sessions
Lecture notes
Seminar slides
There will be 9 week-long minicourses aimed at graduate students, with
one lecture a day, as
follows. See abstracts.
Week 1:
Pierre-Emmanuel Caprace: Structure of CAT(0)
spaces and their isometry groups
TA: Gasper Zadnik, notes
Tsachik Gelander: Arithmetic
Groups, Locally Symmetric Manifolds and some Asymptotic Invariants
TA: Iddo Samet, notes
Michael Kapovich: Quasi-isometric rigidity
TA: Dustin Mayeda, notes
Week 2:
Michah Sageev: CAT(0) cube complexes
TA: Piotr Prytyczki, workbook 1,
workbook 2, workbook 3, workbook 4, Pascal
Rolli's notes
Amie Wilkinson: Geometric rigidity and the geodesic
flow in negative curvature
TA: Alex Wright, notes
Dave Morris: Some arithmetic groups that do
not act on the circle
TA: Dave Morris, notes,
slides 1, slides 2, slides 3, slides 4
Week 3:
Mladen Bestvina: Topology and Geometry of Outer space
TA: Brian Mann, notes
Emmanuel Breuillard: Property T, expanders
and approximate groups
TA: Emmanuel Breuillard, notes1, notes2,
notes3, notes4, exercises, exercises2
Vincent Guirardel: Rotating families, Dehn
fillings and small cancellation
TA: Remi Coulon, notes
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