|April 3||Marion Moore: defs and examples|
|TH April 12, 2pm
||Yvonne Lai: geometrization
Vish Viswanath/Alex Woo|
|May 1||Rohit Thomas: graphs of groups|
|May 8 ||Matt Rathbun: groups acting on trees|
|May 15||Anne Thomas|
|May 29||Aaron Abrams
|GROUPS AND RANDOMNESS|
main sources for Coxeter groups:
Coxeter chapter from Angela Barnhill's thesis
Mike Davis's book (huge
file) Of particular interest are Chapters 1,2,3,6,7,12. Marion will mostly talk about Ch 3 and Yvonne about
secondary sources for Coxeter groups:
Coxeter's 1934 paper "Discrete groups generated by reflections"
Humphrey's book Reflection groups and Coxeter groups
Coxeter's book Regular polytopes
some recent papers of interest on Coxeter groups and related topics :
"On growth types of quotients of Coxeter groups by parabolic subgroups"
Angela Barnhill, "The FA_n conjecture for Coxeter groups"
Daniel Allcock, "Infinitely many hyperbolic Coxeter groups through dimension 19"
Ruth Charney, "An introduction to right-angled Artin groups"
sources for Bass-Serre theory and groups acting on trees:
Scott-Wall, "Topological methods in group theory"
M.Davis's Appendix E on "Complexes of groups" (see link above, page 407)
secondary sources for Bass-Serre theory and groups acting on trees:
Lubotzky's Tree lattices and lattices in Lie groups, in Combinatorial and Geometric
Bestvina, "R-trees in geometry,
topology, and group theory"
some recent papers of interest on Bass-Serre theory and related topics:
Anne Thomas, "Lattices acting on right-angled buildings"
Peter Shalen, "Three-manifold topology and the tree for PSL_2: The Smith conjecture and beyond"
Lisa Carbone, "Non-minimal Tree Actions
and the Existence of Non-uniform Tree Lattices"
Benson Farb and Chris Hruska, Commensurability invariants for
nonuniform tree lattices (pdf)
Past quarters: Fall (hyperbolic groups) ; Winter (mapping class groups)