|To apply for Funding you must register by:||January 13, 2015 over 1 year ago|
|Parent Program:||Dynamics on Moduli Spaces of Geometric Structures|
|Location:||MSRI: Simons Auditorium, Atrium|
- Ian Agol (University of California, Berkeley)
- Daniele Alessandrini (Ruprecht-Karls-Universität Heidelberg)
- Francis Bonahon (University of Southern California)
- Richard Canary (University of Michigan)
- Bertrand Deroin (École Normale Supérieure)
- Ursula Hamenstädt (Universität Bonn)
- Fanny Kassel (Université de Lille I (Sciences et Techniques de Lille Flandres Artois))
- Qiongling Li (Rice University)
- Kathryn Mann (University of California, Berkeley)
- Maryam Mirzakhani (Stanford University)
- Pranav Pandit (University of Vienna)
- Anne Parreau (Université de Grenoble I (Joseph Fourier))
- Maria Beatrice Pozzetti (University of Warwick)
- Alireza Salehi Golsefidy (University of California, San Diego)
- Andrés Sambarino (Université de Paris VII (Denis Diderot) et Université de Paris VI (Pierre et Marie Curie))
- Tengren Zhang (University of Michigan)
- Christian Zickert (University of Maryland)
The Research Workshop of the ``Dynamics on moduli spaces of geometric structures'' will concentrate on some of the following general interrelated themes:
(1) Geometric structures on the spaces of geometric structures which extend and generalize classical constructions on Teichmüller spaces, such as the Weil-Petersoon metric, the pressure metric, the Teichmüller metric and its geodesic flow, Fenchel-Nielsen coordinates, Fock-Goncharov Thurson-Penner coordinates, and the symplectic and Poisson geometries
(2) Relations with harmonic maps, Riemann surfaces, complex geometry: specifically Higgs bundles, holomorphic differentials (quadratic, cubic, etc.) as parameters for representations of the fundamental group, hyperkähler and complex symplectic geometry of moduli spaces, lifts of Teichmüller geodesic flows to flat bundles of character varieties
(3) Asymptotic properties of higher Teichmüller spaces, including generalized measured geodesic laminations, Culler-Morgan-Shalen asymptotics of character varieties, degenerations of geometric structures and discrete subgroups
(4) Actions of mapping class groups and outer automorphism groups, properness criteria for Anosov representations and their generalizations, properness criteria for non-discrete representations, chaotic actions of mapping class groups and the monodromy map from structures to representations
(5) Classification of exotic geometric structures, tameness criteria, generalizations of ending lamination-type invariants to higher rank structures, rigidity and flexibility for thin subgroups, arithmeticity conditions, and geometric transitions
Bibliography (PDF)Primary Mathematics Subject Classification No Primary AMS MSC Secondary Mathematics Subject Classification No Secondary AMS MSC
To apply for funding, you must register by the funding application deadline displayed above.
Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.
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