Spaces of Kleinian groups and hyperbolic 3-manifolds

Workshop theme

Supported by the European Commission, Research DG, Human Potential Programme, High-Level Scientific Conferences - HPCF-2001-00106, the NSF and the Leverhulme Trust

This workshop will focus on spaces of Kleinian groups. From the viewpoint of complex dynamics, a space of Kleinian groups is a close analogue of the Mandelbrot set; Bers' simultaneous uniformisation theorem reveals these spaces as an extension of Teichmüller theory; while from the 3-dimensional viewpoint they become deformation spaces of hyperbolic 3-manifolds. Each approach contributes its individual flavour, and our aim is to bring together these diverse threads.

Specific topics to be addressed include: relationships between the analytic, combinatorial and geometric structure of hyperbolic 3-manifolds; topology of deformation spaces and the arrangement of their components; classification of hyperbolic 3-manifolds by asymptotic invariants; complex projective structures; convex hull boundaries; cone manifolds, orbifolds and knot groups; the combinatorial structure of Teichmüller spaces, mapping class groups, and spaces of curves on surfaces; and the challenge of extending recent advances from once punctured tori to higher genus. A particular focus will be the experimental computer graphics which have contributed much to the development of the subject. We anticipate that exploration of these pictures will be formative for new phases of research. The first day of the meeting will be especially focussed on this theme.

The application is closed

Timetable

Sunday 3rd August 2003
09:00 to 09:55	Masaaki Wada Exploring the quasi-fuchsian space for twice punctured torus Fletcher Moulton Room, Wolfson Court	No Room Required
10:00 to 10:55	Yasushi Yamashita Nara Women's University Computer experiments of the discreteness locus in projective structures - Fletcher Moulton Room, Wolfson Court	No Room Required
11:00 to 11:30	Coffee - Airport Lounge, Wolfson Court	No Room Required
11:30 to 12:25	David Wright Oklahoma State University Searching for the cusp Fletcher Moulton Room, Wolfson Court	No Room Required
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
13:30 to 14:25	Ian Agol University of Illinois at Chicago Conjectures on minimal surfaces and Ricci flow Fletcher Moulton Room, Wolfson Court	No Room Required
14:30 to 15:25	David Dumas Harvard University The distribution of Fuchsian projective structures on a Riemann surface - Fletcher Moulton Room, Wolfson Court	No Room Required
15:30 to 00:00	Tea - Airport Lounge, Wolfson Court	No Room Required
15:45 to 18:00	Poster session - Law Library, Wolfson Court	No Room Required
18:45 to 19:45	Dinner at Wolfson Court (Residents Only)	No Room Required

Monday 4th August 2003
08:15 to 09:00	Registration	No Room Required
09:00 to 09:55	Makoto Sakuma Osaka University Variations of McShane's identity for punctured surface groups	Room 1
10:00 to 10:55	Richard Canary University of Michigan Classification of hyperbolic 3-manifolds I	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:25	Brian Bowditch University of Southampton The geometry of the curve complex	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:55	The complex of train tracks	Room 1
15:00 to 15:30	Tea	No Room Required
15:30 to 16:25	Marc Lackenby University of Oxford Heegaard genus and covering spaces	Room 1
16:30 to 17:25	David Gabai Princeton University Spanning laminations are proper	Room 1
17:45 to 18:30	Wine \& Beer Reception	No Room Required
18:45 to 19:30	Dinner at Wolfson Court (Residents Only)	No Room Required

Tuesday 5th August 2003
09:00 to 09:55	Cyril Lecuire Properness properties of the bending map	Room 1
10:00 to 10:55	Yair Minsky Stanford University Classification of hyperbolic 3-manifolds II	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:25	Kenneth Bromberg CALTECH (California Institute of Technology) Drilling short geodesics in hyperbolic 3-manifolds	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:55	Richard Evans Rice University Applications of the drilling theorem	Room 1
15:00 to 15:30	Tea	No Room Required
15:30 to 16:25	Juan Souto Algebraic limits of geometrically finite manifolds are tame	Room 1
16:30 to 17:25	John Holt University of Illinois at Chicago Non-bumping	Room 1
18:45 to 19:30	Dinner at Wolfson Court (Residents Only)	No Room Required
20:00 to 00:00	Poster Session - Airport Lounge, Wolfson Court	No Room Required

Wednesday 6th August 2003
09:00 to 09:55	Hideki Miyachi Osaka University Semiconjugacy between the actions of topologically tame Kleinian groups with bounded geometry	Room 1
10:00 to 10:55	Yair Minsky Stanford University Classification of hyperbolic 3-manifolds III	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:25	Ken'ichi Ohshika Osaka University Constructing Kleinian groups on boundaries	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:55	Michael Kapovich University of Utah An existence theorem for conformally-flat metrics	Room 1
15:00 to 15:30	Tea	No Room Required
15:30 to 16:25	Sadayoshi Kojima Circle packings on surfaces with projective structures I	Room 1
16:30 to 17:25	Ser Tan National University of Singapore Circle packings on surfaces with projective structures II	Room 1
20:00 to 18:00	Conference Dinner at Emmanuel College	No Room Required

Thursday 7th August 2003
09:00 to 09:55	Peter Storm University of Michigan Minimal volume hyperbolic metrics on acylindrical 3-manifolds	Room 1
10:00 to 10:55	Steven Kerckhoff Stanford University Deformations of hyperbolic manifolds with boundary	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:25	Craig Hodgson University of Melbourne Hyperbolic structures from angled ideal triangulations	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
18:00 to 19:30	CUP Book Evening	No Room Required

Friday 8th August 2003
09:00 to 09:55	Michael Wolf Rice University An embedded genus one helicoid	Room 1
10:00 to 10:55	Scott Wolpert University of Maryland, College Park A reprise: convexity of geodesic-length functions	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:25	Caroline Series University of Warwick Non-singularity of bending lengths near convex structures	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:55	Vladimir Markovic University of Warwick Geometric and algebraic structures on spaces of quasiconformal mappings	Room 1
15:00 to 15:30	Tea	No Room Required
15:30 to 16:25	Mary Rees Xi'an Jiaotong- Liverpool University The geometric model direct from Teichmuller geodesics	Room 1
16:30 to 17:25	Howard Masur University of Illinois at Chicago Large scale geometry of Teichmuller space	Room 1
18:45 to 19:30	Dinner at Wolfson Court (Residents Only)	No Room Required

Spaces of Kleinian groups and hyperbolic 3-manifolds

Speakers

Ian Agol University of Illinois at Chicago
Brian Bowditch University of Southampton
Kenneth Bromberg CALTECH (California Institute of Technology)
Richard Canary University of Michigan
David Dumas Harvard University
Richard Evans Rice University
David Gabai Princeton University
Craig Hodgson University of Melbourne
John Holt University of Illinois at Chicago
Michael Kapovich University of Utah
Steven Kerckhoff Stanford University
Sadayoshi Kojima
Marc Lackenby University of Oxford
Cyril Lecuire
Vladimir Markovic University of Warwick
Howard Masur University of Illinois at Chicago
Yair Minsky Stanford University
Hideki Miyachi Osaka University
Ken'ichi Ohshika Osaka University
Mary Rees Xi'an Jiaotong- Liverpool University
Makoto Sakuma Osaka University
Caroline Series University of Warwick
Juan Souto
Peter Storm University of Michigan
Ser Tan National University of Singapore
Masaaki Wada
Michael Wolf Rice University
Scott Wolpert University of Maryland, College Park
David Wright Oklahoma State University
Yasushi Yamashita Nara Women's University

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Spaces of Kleinian groups and hyperbolic 3-manifolds

Workshop theme

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Timetable

Speakers

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