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Introduction to Teichmuller Theory and Kleinian Groups

August 20, 2007 to August 24, 2007
Organized By: Jeff Brock, Richard Canary, Howard Masur, Alan Reid, and Maryam Mirzakhani
 
Parent Programs:
Teichmuller Theory and Kleinian Groups
 
Participant List:
View a List of Registered Participants
 
This five-day workshop will comprise six three-hour minicourses, run by experts in the field, intended to give a summary of recent results in their various areas of expertise and frame new directions for future research. The mini-courses will attempt to bring participants up-to-date on recent work in the topology and deformation theory of hyperbolic 3-manifolds, dynamics of flows on moduli spaces of translation surfaces, and the geometry of Teichmüller space and the mapping class group, and their various combinatorial models. There will be time in between these mini-courses for substantial discussion and interaction. The minicourses may be supplemented by one-hour talks.

Group photo of workshop participants
 

Schedule

Monday August 20, 2007

09:30AM - 10:30AM  Yair Minsky "Introductory topics in Kleinian groups and hyperbolic 3-manifolds"
10:30AM - 11:00AM  Morning Break
11:00AM - 12:00PM  John Smillie "Introduction to rational billiards and translation surfaces"
12:00PM - 02:00PM  Lunch at MSRI
02:00PM - 03:00PM  Kenneth Bromberg "Introductory topics in Kleinian groups and hyperbolic 3-manifolds"
03:00PM - 03:30PM  Afternoon Tea
03:30PM - 04:30PM  Jeffrey Brock "Introductory topics in Kleinian groups and hyperbolic 3-manifolds"
04:30PM - 05:30PM  Discussion Session

Tuesday August 21, 2007

09:30AM - 10:30AM  Jeffrey Brock Kleinian Groups and Hyperbolic 3-manifolds: algebraic and geometric limits
10:30AM - 11:00AM  Morning Break
11:00AM - 12:00PM  John Smillie "Introduction to Rational Billiards and Translation Surfaces"
12:00PM - 02:00PM  Lunch at MSRI
02:00PM - 03:00PM  Kenneth Bromberg Kleinian Groups and Hyperbolic 3-manifolds: interpolation of surfaces in hyperbolic 3-manifolds
03:00PM - 03:30PM  Afternoon Tea
03:30PM - 04:30PM  Yair Minsky Kleinian Groups and Hyperbolic 3-manifolds: models for punctured torus groups
04:30PM - 05:30PM  Discussion Sessions

Wednesday August 22, 2007

09:30AM - 10:30AM  Yair Minsky Kleinian Groups and Hyperbolic 3-manifolds: the curve complex, projections, and short curves
10:30AM - 11:00AM  Morning Break
11:00AM - 12:00PM  John Smillie "Introduction to Rational Billiards and Translation Surfaces"
12:00PM - 02:00PM  Lunch at MSRI
02:00PM - 03:00PM  Kenneth Bromberg Kleinian Groups and Hyperbolic 3-manifolds: quasi-convexity of the bounded curve set
03:00PM - 03:30PM  Afternoon Tea
03:30PM - 04:30PM  Jeffrey Brock Kleinian Groups and Hyperbolic 3-manifolds: the model theorem and its applications
04:30PM - 04:30PM  Discussion Sessions

Thursday August 23, 2007

10:00AM - 10:50AM  Alex Eskin "Counting Problems in Teichmüller Space"
11:00AM - 12:00PM  Problem Session: "Kleinian groups and hyperbolic 3-manifolds"
12:00PM - 01:30PM  Lunch at MSRI
01:30PM - 02:30PM  Open Hour
02:30PM - 03:30PM  Discussion Session: "Counting problems"
03:30PM - 04:00PM  Afternoon Tea
04:00PM - 05:00PM  Kasra Rafi "Flat structures and hyperbolic structures on surfaces

Friday August 24, 2007

10:00AM - 10:50AM  Alex Eskin "Counting Problems in Teichmüller Space"
11:00AM - 12:00PM  Problem Session: "Kleinian groups and hyperbolic 3-manifolds"
12:00PM - 01:30PM  Lunch at MSRI
01:30PM - 02:30PM  Open Hour
02:30PM - 03:30PM  Problem Session: "Counting problems"
03:30PM - 04:00PM  Afternoon Tea
04:00PM - 05:00PM  Christopher Leininger "Kleinian aspects of the mapping class group"

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