An Isaac Newton Institute Workshop

Spaces of Kleinan Groups and Hyperbolic 3-Manifolds

3 - 8 August 2003

Organisers: Caroline Series (Warwick), Yair Minsky (Stony Brook), Makoto Sakuma (Osaka)

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

in association with the Newton Institute programme entitled Spaces of Kleinian Groups and Hyperbolic 3-Manifolds

Programme | Participants | Accepted Posters | Photo

Theme of Workshop

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.

Speakers Include

  • B Bowditch (Southampton)
  • J Brock (Chicago)
  • K Bromberg (Caltech)
  • R Canary (Michigan)
  • R Evans (Rice)
  • D Gabai (Princeton)
  • U Hamenstaedt (Bonn)
  • C Hodgson (Melbourne)
  • J Holt (Chicago)
  • M Kapovich (Utah)
  • S Kerckhoff (Stanford)
  • S Kojima (Tokyo Inst Tech)
  • M Lackenby (Oxford)
  • V Markovic (Warwick)
  • H Masur (Chicago)
  • Y Minsky (Stony Brook)
  • K Ohshika (Osaka)
  • J-P Otal (Orléans)
  • M Sakuma (Osaka)
  • C Series (Warwick)
  • J Souto (Bonn)
  • S P Tan (Singapore)
  • M Wolf (Rice)
  • S Wolpert (Maryland)

Location and Cost

The EuroConference will take place at the Newton Institute and accommodation for participants will be provided in single study bedrooms with shared bathroom at Wolfson Court. The workshop package, costing £420, includes accommodation, breakfast and dinner from dinner on Saturday 2 August 2003 until breakfast on Saturday 9 August 2003, and lunch and refreshments during the days that lectures take place. Numbers will be restricted to about 80 participants. Please note: lectures will take place on Sunday 3 August at Wolfson Court (Fletcher Moulton Room).


The EuroConference is supported by the European Community and funding is available to support a limited number of young (up to 35 years of age) researchers who are nationals of EC Member States or of the Associated States; also researchers of any age and the same nationalities residing outside Europe. Limited support is also available from the NSF and the Leverhulme Trust. Self-supporting participants of any age and nationality are welcome to apply

Applications Forms

The closing date for the receipt of applications has now passed.

Further Information

Please e-mail your enqueries to Tracey Andrew

Travel and Local Information

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