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Workshop on 3-manifolds after Perelman

Heriot-Watt University, Edinburgh, 13-17 March 2006


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Scientific Programme and Participants

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Report on meeting now available via this link
Links to lecture notes in timetable. Click here.


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The list of participants is available below.
Higher resolution files of several group photographs (for printing) are available here.

Workshop structure

The workshop consisted of four series of three one-hour lectures plus eleven one-hour contributed talks. The first of each series of lectures was introductory.

Some of the lecture notes are available as links from the timetable entries. Click here to go to the timetable.

Lecturers

The following each gave a series of three one-hour lectures:

Jeffrey Brock (Brown University)
Marc Lackenby (University of Oxford)
Peter Ozsvath (Columbia University)
Peter Shalen (University of Illinois at Chicago)

The following each gave a one-hour lecture on their work :

Ian Agol (University of Illinois at Chicago)
Michel Boileau (Université Paul Sabatier, Toulouse)
Brian H Bowditch (University of Southampton)
Martin Bridson (Imperial College)
Shelly Harvey (Rice University)
Craig Hodgson (University of Melbourne)
Cyril Lecuire (Centre de Recerca Matemŕtica)
Hyam Rubinstein (University of Melbourne)
Zlil Sela (Hebrew University)
Stephan Tillmann (Université du Québec ŕ Montréal)
Richard Weidmann (University of Frankfurt)

Programme

Monday 13 March
09.00 - 10.00 Marc Lackenby (University of Oxford)
Talk 1: Covering spaces of 3-manifolds
10.15 - 11.15 Michel Boileau (Université Paul Sabatier, Toulouse)
Non-zero degree maps between 3-manifolds
11.15 - 11.45 Coffee
11.45 - 12.45 Peter Ozsváth (Columbia University)
Talk 1: Heegaard diagrams and holomorphic disks
12.45 - 14.30 Lunch break, with lunch at 13.00
14.30 - 15.30 Jeffrey Brock (Brown University)
Talk 1: The classification of hyperbolic 3-manifolds, an overview
15.30 - 16.00 Tea/Coffee
16.00 - 17.00 Richard Weidmann (University of Frankfurt)
Foldings, the rank problem and Nielsen equivalence
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Tuesday 14 March
09.00 - 10.00 Peter Shalen (University of Illinois at Chicago)
Talk 1: Classical 3-manifold topology and hyperbolic volume
10.15 - 11.15Ian Agol (University of Illinois at Chicago)
Finiteness of arithmetic reflection groups
11.15 - 11.45 Coffee
11.45 - 12.45 Shelly Harvey (Rice University)
Group theoretic invariants of links and 3-manifolds
12.45 - 14.30 Lunch break, with lunch at 13.00
14.30 - 15.30 Marc Lackenby (University of Oxford)
Talk 2: Covering spaces of 3-manifolds
15.30 - 16.00 Tea/Coffee
16.00 - 17.00 Martin Bridson (Imperial College)
Mapping tori of free-group automorphisms
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Wednesday 15 March
09.00 - 10.00 Peter Ozsváth (Columbia University)
Talk 2: Heegaard diagrams and holomorphic disks
10.15 - 11.15Jeffrey Brock (Brown University)
Talk 2: Drilling, pants decompositions, and ending laminations
11.15 - 11.45 Coffee
11.45 - 12.45 Peter Shalen (University of Illinois at Chicago)
Talk 2: Classical 3-manifold topology and hyperbolic volume
12.45 - 14.30 Lunch break, with lunch at 13.00
14.30 onwards Free time
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Thursday 16 March
09.00 - 10.00 Stephan Tillmann (Université du Québec ŕ Montréal)
When ideal characters are tropical......
10.15 - 11.15 Craig Hodgson (University of Melbourne)
Computation of geometric structures on 3-dimensional orbifolds and manifolds
11.15 - 11.45 Coffee
11.45 - 12.45 Marc Lackenby (University of Oxford)
Talk 3: Covering spaces of 3-manifolds
12.45 - 14.30 Lunch break, with lunch at 13.00
14.30 - 15.30 Peter Ozsváth (Columbia University)
Talk 3: Heegaard diagrams and holomorphic disks
15.30 - 16.00 Tea/Coffee
16.00 - 17.00 Zlil Sela (Hebrew University)
Some applications of low dimensional topology to model theory
19.00 Workshop Dinner, College Lounge, Heriot-Watt University (dress informal)
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Friday 17 March
09.00 - 10.00 Jeffrey Brock (Brown University)
Talk 3: The geometry of hyperbolic 3-manifolds via Heegaard splittings
10.15 - 11.15 Brian H Bowditch (University of Southampton)
Models for hyperbolic 3-manifolds
11.15 - 11.45 Coffee
11.45 - 12.45 Peter Shalen (University of Illinois at Chicago)
Talk 3: Classical 3-manifold topology and hyperbolic volume
12.45 - 14.30 Lunch break, with lunch at 13.00
14.30 - 15.30 Cyril Lecuire (Centre de Recerca Matemŕtica)
Sequences of Kleinian groups
15.30 - 16.00 Tea/Coffee
16.00 - 17.00 Hyam Rubinstein (University of Melbourne)
Homotopy invariance of Casson's invariant
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Participants List
20 March 2006
Name Institution
Agol, Ian University of Illinois at Chicago
Anderson, James University of Southampton
Aramayona, Javier University of Warwick
Atkinson, Christopher University of Illinois at Chicago
Baker, Mark Université Rennes 1
Baker, Kenneth University of Georgia
Belolipetsky, Mikhail Durham University
Bleiler, Steven Portland State University
Boileau, Michel Université Paul Sabatier, Toulouse
Bowden, Dylan Heriot-Watt University
Bowditch, Brian University of Southampton
Bridson, Martin Imperial College London
Brock, Jeffrey Brown University
Bromberg, Kenneth University of Utah
Callahan, Jason University of Texas at Austin
Canary, Richard University of Michigan
Chan, Ken Yin Kwan Stanford University
Choi, Suhyoung Korean Advanced Institute of Science & Technology
Cochran, Tim Rice University
Cooper, Daryl University of California at Santa Barbara
Coward, Alexander Oxford University
Derby-Talbot, Ryan University of Texas at Austin
Easson, Vivien Cambridge University
Evans, Richard University of Auckland
Francaviglia, Stefano Universitat Autonòma Barcelona
Frigerio, Roberto Scuola Normale Superiore Pisa
Gal, Swiatoslaw Université de Neuchâtel
Glock, Janina JW Goethe University
Gordon, Cameron University of Texas at Austin
Grigsby, Julia UC Berkeley
Harvey, Shelly Rice University
Hedden, Matthew Princeton/MIT
Hodgson, Craig University of Melboune
Hog-Angeloni, Cynthia JW Goethe University
Holt, John Massey University
Horn, Peter Rice University
Howie, Jim Heriot-Watt University
Jaudon, Ghislain University of Geneva
Jones, Kerry Ball State University
Kang, Sungmo University of Texas at Austin
Kedra, Jaroslaw University of Aberdeen
Kent, Richard University of Texas at Austin
Kidwell, Mark U.S. Naval Academy
Kim, Seongtag Inha University
King, Simon Technical University Darmstadt
Klaff, Ben University of Texas at Austin
Kokarev, Gerasim University of Edinburgh
Kopteva, Natalia Université de Provence
Kurlin, Vitaliy University of Liverpool
Lackenby, Marc University of Oxford
Lecuire, Cyril Centre de Recerca Matemàtica (CRM)
Leidy, Constance University of Pennsylvania
Licata, Joan Yale University
Lickorish, Raymond University of Cambridge
Long, Cormac University of Southampton
Mathews, Daniel Stanford University
Metzler, Wolfgang JW Goethe-Universität
Moriah, Yoav Technion, Israel Institute of Technology
Nakamura, Kei University of California, Davis
Oszváth, Peter Columbia University
Parker, John Durham University
Parlier, Hugo University of Geneva
Preaux, Jean-Philippe Université de Provence
Purcell, Jessica University of Texas at Austin
Rafalski, Shawn University of Illinois at Chicago
Ranicki, Andrew University of Edinburgh
Ratcliffe, John Vanderbilt University
Reid, Alan University of Austin at Texas
Rollin, Yann Imperial College, London
Rosebrock, Stephan Pädagogische Hochschule Karlsruhe
Rubinstein, J. Hyam University of Melbourne
Saeed, Muhammad Heriot-Watt University
Sakasai, Takuya University of Tokyo
Schleimer, Saul Rutgers University
Sela, Zlil Hebrew University of Jeruslem
Series, Caroline University of Warwick
Shalen, Peter University of Illinois at Chicago
Short, Hamish Université de Provence
Smith, Graham Max Planck Institute
Suh, Chan-Ho University of California
Szabo, Richard Heriot-Watt University
Szepietowski, Blazej Gdansk University
Tillmann, Stephan Université du Québec à Montréal
Walsh, Genevieve University of Texas at Austin
Wang, Jiajun UC Berkeley & Columbia University
Weidmann, Richard University of Frankfurt
Williams, Gerald University of Kent
Wong, Helen Yale University
Zupunski, Eric University of Michigan


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