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Workshop on Geometry, Topology and Dynamics
of Character Varieties
( 19 - 30 Jul 2010 )

Co-sponsored by Global COE (Center of Excellence) of the Tokyo Institute of Technology, Compview
and the National Science Foundation (USA)

Venue: IMS Auditorium

Organizing Committee · Visitors and Participants · Overview · Sponsor · Poster · Activities · Inquiries · Student/Recent PhD Financial Application Form

Monday, 19 Jul 2010
09:10am - 09:20am	Registration
09:20am - 09:30am	Opening remarks Louis Chen, Institute for Mathematical Sciences
	Chair: Ser Peow Tan, National University of Singapore
09:30am - 10:30am	Kerckhoff's lines of minima in Teichmueller space (PDF) Caroline Series, University of Warwick, UK
10:30am - 11:00am	--- Coffee Break ---
11:00am - 11:30am	On the automorphism group of the ideal triangulation graph Athanase Papadopoulos, University Louis Pasteur Strasbourg, France
11:30am - 01:30pm	--- Lunch Break ---
	Chair: Caroline Series, University of Warwick, UK
01:30pm - 02:00pm	Delambre-Gauss formulas in hyperbolic 4-space (PDF) Ying Zhang, Suzhou University, China
02:05pm - 02:35pm	Compactification of moduli spaces of completely reducible representations (PDF) Anne Parreau, University Grenoble 1, France
02:35pm - 03:15pm	--- Coffee Break ---
03:15pm - 03:45pm	Pseudo-Anosovs with small dilatation and the Dehn fillings of the magic manifold (PDF) Eiko Kin, Tokyo Institute of Technology, Japan
03:50pm - 04:20pm	On the topology of H(2) (PDF) Duc Manh Nguyen, Max-Planck-Institut fur Mathematik, Germany

Tuesday, 20 Jul 2010
09:15am - 09:30am	Registration
	Chair: Athanase Papadopoulos, University Louis Pasteur Strasbourg, France
09:30am - 10:30am	Transitional geometry (PDF) NEW Steven Kerckhoff, Stanford University, USA
10:30am - 11:00am	--- Coffee Break ---
11:00am - 11:30am	Regenerating hyperbolic cone 3-manifolds from dimension 2 (PDF) Joan Porti, Universitat Autònoma de Barcelona, Spain
11:30am - 01:30pm	--- Lunch Break ---
	Chair: Steven Kerckhoff, Stanford University, USA
01:30pm - 02:00pm	The Gardiner-Masur boundary of Teichmueller space (PDF) Hideki Miyachi, Osaka University, Japan
02:05pm - 02:35pm	SL(2,R)-flows on the Teichmueller space Gabriele Mondello, University of Roma "La Sapienza", Italy
02:35pm - 03:15pm	--- Coffee Break ---
03:15pm - 03:45pm	Penner's coordinate-system for a representation space on a punctured surface group and its applications (PDF) Toshihiro Nakanishi, Shimane University, Japan
03:50pm - 04:20pm	Two-sided combinatorial volume bounds for non-obtuse hyperbolic polyhedra Christopher Atkinson, Temple University, USA

Wednesday, 21 Jul 2010
09:15am - 09:30am	Registration
	Chair: Joan Porti, Universitat Autònoma de Barcelona, Spain
09:30am - 10:30am	Harmonic deformations of hyperbolic structures (PDF) Craig Hodgson, The University of Melbourne, Australia
10:30am - 11:00am	--- Coffee Break ---
11:00am - 11:30am	A tale of two spaces: moduli spaces of Riemann surfaces and locally symmetric spaces Lizhen Ji, University of Michigan, USA
11:30am - 01:30pm	--- Lunch Break ---

Thursday, 22 Jul 2010
09:15am - 09:30am	Registration
	Chair: Lizhen Ji, University of Michigan, USA
09:30am - 10:30am	Entropy versus volume for surface automorphisms (PDF) Sadayoshi Kojima, Tokyo Institute of Technology, Japan
10:30am - 11:00am	--- Coffee Break ---
11:00am - 11:30am	Generalized Teichmueller spaces and moduli spaces of geometric structures (PDF) Olivier Guichard, Université Paris-Sud, Orsay, France
11:30am - 01:30pm	--- Lunch Break --- (lunch at IMS)
	Chair: Sadayoshi Kojima, Tokyo Institute of Technology, Japan
01:30pm - 02:00pm	Generators and symplectic structure of character varieties (PDF) Adam Sikora, University at Buffalo, USA
02:05pm - 02:35pm	Moduli spaces of hyperbolic surfaces with cone angles (PDF) Paul Norbury, University of Melbourne, Australia
02:35pm - 03:15pm	--- Coffee Break ---
03:15pm - 03:45pm	Polynomial automorphisms of the Fricke characters of free groups (PDF) Richard Brown, Johns Hopkins University, USA
03:50pm - 04:20pm	Hyperbolic cone-manifolds with prescribed holonomy (PDF) Daniel Virgil Mathews, Université de Nantes, France

Friday, 23 Jul 2010
09:15am - 09:30am	Registration
	Chair: Olivier Guichard, Université Paris-Sud, Orsay, France
09:30am - 10:30am	Surface group representations and Higgs bundles (PDF) Steven Bradlow, University of Illinois, UC, USA
10:30am - 11:00am	--- Coffee Break ---
11:00am - 11:30am	Higgs bundles and Hermitian symmetric spaces (PDF) Oscar Garcia-Prada, Consejo Superior de Investigaciones Científicas, Spain
11:30am - 01:30pm	--- Lunch Break ---

Monday, 26 Jul 2010
09:15am - 09:30am	Registration
	Chair: Oscar Garcia-Prada, Consejo Superior de Investigaciones Científicas, Spain
09:30am - 10:30am	Dynamics on character varieties of 3-manifold groups (PDF) Richard Canary, University of Michigan, USA
10:30am - 11:00am	--- Coffee Break ---
11:00am - 11:30am	On holomorphic families of punctured tori Hiroshige Shiga, Tokyo Institute of Technology, Japan
11:30am - 01:30pm	--- Lunch Break ---
	Chair: Richard Canary, University of Michigan, USA
01:30pm - 02:00pm	Affine deformations of the holonomy of a three-holed sphere and other surfaces (PDF) Virginie Charette, Université de Sherbrooke, Canada
02:05pm - 02:35pm	Topology and singularities of free group character varieties (PDF) Sean Lawton, University of Texas at Pan American, USA
02:35pm - 03:15pm	--- Coffee Break ---
03:15pm - 03:45pm	Counterexamples to a simple loop conjecture for PSL(2,C) Jason Manning, University at Buffalo, USA
03:50pm - 04:20pm	Hyperbolicity of the genus two Hatcher-Thurston complex Jiming Ma, Fudan University, China

Tuesday, 27 Jul 2010
09:15am - 09:30am	Registration
	Chair: Hiroshige Shiga, Tokyo Institute of Technology, Japan
09:30am - 10:30am	The topology of deformation spaces of Kleinian groups Kenneth Bromberg, University of Utah, USA
10:30am - 11:00am	--- Coffee Break ---
11:00am - 11:30am	Spherical triangles and the two components of the SO(3,R)-character space of the fundamental group of a closed surface of genus 2 Suhyoung Choi, KAIST, Korea
11:30am - 01:30pm	--- Lunch Break ---
	Chair: Kenneth Bromberg, University of Utah, USA
01:30pm - 02:00pm	Nielsen realization problem for asymptotic Teichmuller modular groups Ege Fujikawa, Chiba University, Japan
02:05pm - 02:35pm	Connected components of the compactification of representation spaces (PDF) Maxime Wolff, Université de Paris 6, France
02:35pm - 03:15pm	--- Coffee Break ---
03:15pm - 03:45pm	On the Chabauty topology on the space of subgroups of a compact group Yves Cornulier, CNRS, University of Rennes, France
03:50pm - 04:20pm	On volumes of hyperbolic orbifolds Ilesanmi Adeboye, University of California, USA

Wednesday, 28 Jul 2010
09:15am - 09:30am	Registration
	Chair: Suhyoung Choi, KAIST, Korea
09:30am - 10:30am	Length and trace series identities on Teichmueller spaces and character varieties Ser Peow Tan, National University of Singapore
10:30am - 11:00am	--- Coffee Break ---
11:00am - 11:30am	Invariant subsets of finite volume homogeneous spaces Yves Benoist, Université Paris-Sud, Orsay, France
11:30am - 01:30pm	--- Lunch Break ---

Thursday, 29 Jul 2010
09:15am - 09:30am	Registration
	Chair: Yves Benoist, Université Paris-Sud, Orsay, France
09:30am - 10:30am	Some applications of 3-dimensional AdS geometry to Teichm\"uller theory (PDF 1, PDF 2) Jean-Marc Schlenker University Toulouse III, France
10:30am - 11:00am	--- Coffee Break ---
11:00am - 11:30am	Knot commensurability and the Berge conjecture Steve Boyer, Université du Québec à Montréal, Canada
11:30am - 01:30pm	--- Lunch Break ---
	Chair: Steve Boyer, Université du Québec à Montréal, Canada
01:30pm - 02:00pm	Characteristic submanifolds of hyperbolic 3-manifolds Cyril Lecuire, University Toulouse III, France
02:05pm - 02:35pm	Deformation space of strictly convex real projective structures on small orbifolds Kelly Delp, Buffalo State College, USA
02:35pm - 03:15pm	--- Coffee Break ---
03:15pm - 03:45pm	Fixed points of the compositions of earthquakes Francesco Bonsante, University of Pavia, Italy
03:50pm - 04:20pm	Supersymmetric surface operators, four-manifold theory and invariants in various dimensions (PDF) Meng-Chwan Tan, National University of Singapore

Friday, 30 Jul 2010
09:15am - 09:30am	Registration
	Chair: Jean-Marc Schlenker University Toulouse III, France
09:30am - 10:30am	Solving Thurston's equation on triangulated 3-manifolds (PDF) Feng Luo, Rutgers University, USA
10:30am - 11:00am	--- Coffee Break ---
11:00am - 11:30am	Surfaces with large cone angles (PDF) Greg McShane, University of Grenoble I, France
11:30am - 01:30pm	--- Lunch Break ---
	Chair: Feng Luo, Rutgers University, USA
01:30pm - 02:00pm	The topology of deformation spaces of Hyperbolic 3-manifolds (PDF) Aaron D Magid, University of Maryland, USA
02:05pm - 02:35pm	Linear slices close to a Maskit slice (PDF) Kentaro Ito, Nagoya University, Japan
02:35pm - 03:15pm	--- Coffee Break ---

Organizing Committee · Visitors and Participants · Overview · Sponsor · Poster · Activities · Inquiries · Student/Recent PhD Financial Application Form

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