Christopher Cashen
607 Science & Engineering Offices (SEO) m/c
249
851 S. Morgan Street, Chicago, IL 60607-7045
ccashenATmathDOTuicDOTedu
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Spring 2007
Heegaard Splittings, the Virtually Haken Conjecture, and Property Tau
Monday 1-2 in SEO 512
References:
@unpublished{AbeNik07,
Author = {Abert, Miklos and Nikolov, Nikolay},
Month = {January},
Note = {prepreint},
Title = {Rank Gradient, Cost of Groups and the Rank Versus Heegaard Genus Problem},
Url = {http://arXiv.org/pdf/math.GR/0701361},
Year = {2007}}
@article{BacCooWhi04,
Author = {Bachman, David and Cooper, Daryl and White, Matthew E.},
Journal = {Algebraic & Geometric Topology},
Keywords = {Heegaard splitting, injectivity radius},
Pages = {31-47},
Title = {Large Embedded Balls and Heegaard Genus in Negative Curvature},
Url = {http://arxiv.org/pdf/math/0305290},
Volume = {4},
Year = {2004}}
@unpublished{DooGol06,
Author = {A.H. Dooley and V. Ya. Golodets},
Keywords = {equivalence relation, equivalence subrelation, finite index, cost,treeable action, free group},
Month = {September},
Note = {preprint},
Title = {The cost of an equivalence relation is determined by the cost of a finite index subrelation},
Year = {2006}}
@article{Lac05,
Author = {Lackenby, Marc},
Journal = {Invent. Math.},
Month = {September},
Note = {preprint},
Pages = {317-359},
Title = {Heegaard Splittings, the Virtual Haken Conjecture and Property Tau},
Url = {http://arxiv.org/pdf/math.GT/0205327},
Volume = {164},
Year = {2006}}
@unpublished{LubZuk03,
Author = {Alexander Lubotzky and Andrzej Zuk},
Month = {September},
Note = {Preliminary Version},
Title = {On Property Tau},
Url = {http://www.ma.huji.ac.il/~alexlub/BOOKS/On%20property/On%20property.pdf},
Year = {2003}}
Summer 2006
Novikov-Shubin Invariants
Cancelled due to scheduling conflicts.
References:
@article{Efr90,
Author = {A. V. Efremov},
Journal = {Communications of the Moscow Mathematical Society},
Title = {Cellular Decompositions and Novikov-Shubin Invariants},
Year = {1990}}
@unpublished{LotLuc,
Author = {John Lott and Wolfgang Luck},
Title = {L2-Topological Invariants of 3-Manifolds},
Url = {http://www.math.lsa.umich.edu/~lott/invv.pdf}}
@article{Luc94,
Author = {Wolfgang Luck},
Journal = {Topology},
Pages = {203-214},
Title = {L2-Betti Numbers of Mapping Tori and Groups},
Volume = {33},
Year = {1994}}
Spring 2006
Pot Luck
Prior to 2006
Older topics which I can remember, in no particular order:
The Smith Conjecture
Differential Geometry of Curves and Surfaces
PL-Minimal Surfaces
Hyperbolic Groups
Mostow Rigidity
Revised January 29, 2007 by ccashenATmathDOTuicDOTedu
http://www.math.uic.edu/~ccashen/GTDGSS
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