The First GEAR Retreat and Junior Retreat (July 23August 10, 2012)
Speakers and more  Panels  Participants  Photos  Video Archive  Contact Information
The Junior Retreat (July 23August 3, 2012) for graduate students and postdocs featured minicourses, problem sessions, short research talks, and activities designed to promote interaction. The Retreat (August 610, 2012) included survey talks, research talks, and forums for discussion. Both Retreats were structured around five themes:
 Higgs Bundles
 Geometric Structures and Teichmüller Spaces
 Dynamics on Moduli Spaces
 Special Representations
 Hyperbolic 3manifolds
The forums for discussion included:
 An Everything You Want To Know (EYWTK) session. Intended as a swap meet of mathematical tools and perspectives, participants were invited to pose questions for experts in areas outside their own research specialties.
 Panel Discussion: Making the Most of the GEAR Network. The topic for the panel discussion was (a) the mathematical agenda for the GEAR Network the next two years and (b) how to make best use of the available resources of the network.
Video Archive of Lectures
Junior Retreat Schedule, Junior Retreat Abstracts
Retreat Schedule, Retreat Abstracts
List of registered participants
View the original RETREATS 2012 webpages
MiniCourses 

Jayadev Athreya 
Quantitative Aspects of Translation Surfaces 
Video 1, Video 2, Video 3 
Yves Benoist Univ. ParisSud 
On divisible convex sets 
Video 1,
Video 2, Video 3 
Steven Bradlow 
Introduction to Higgs bundles on Riemann surfaces 
Video 1, Video 2,
Video 3 
Jeffrey Brock Brown Univ. 
Combinatorial Teichmüller Spaces

Video 1, Video 2, Video 3 
Marc Culler Univ. of Illinois at Chicago 
Introduction to Hyperbolic 3manifolds 
Video 1, Video 2, Video 3 
Olivier Guichard 
Maximal representations 
Video 1, Video 2, Video 3 
Darren Long Univ. California, Santa Barbara 
Hyperbolic manifolds: Some other families of representations 
Video 1, Video 2, Video 3 
Karin Melnick Univ. of Maryland 
Introduction to (G;X)structures

Video 1,
Video 2, Video 3 
Individual Talks 

David Aulicino 
Teichmüller Discs with Completely Degenerate KontsevichZorich Spectrum 

Sam Ballas 
Twisted Cohomology and Deformation Theory 

Anja Bankovic 
Equivalent curves in surfaces 

Ian Biringer 
Extension into handlebodies and limits of Kleinian groups 

Richard Canary Univ. of Michigan 
Deformation Spaces of Hyperbolic 3manifolds 

Daryl Cooper 
Geometric Structures 

Jeff Danciger 
Complete Lorentz spacetimes in dimension three, II 

Spencer Dowdall 
Kleinian convex cocompact subgroups of mapping class groups 

Guillaume Dreyer USC / Notre Dame 
Hyperbolic geometry in higher Teichmüller theory 

David Dumas 
Osculation in complex projective and hyperbolic structures 

Nathan Dunfield 
Surfaces in infinite covers of 3manifolds: the virtual Haken conjecture 

Emilio Franco 
Higgs bundles over elliptic curves 

Oscar GarciaPrada 
Higgs bundles and representations of surface groups 

Alberto GarciaRaboso 
A nonabelian Hodge theorem for twisted vector bundles 

Jonah Gaster 
A skinning map that is not onetoone, and has a critical point 

Thomas Haettel 
Visual limits of maximal ats in symmetric spaces and Euclidean buildings 

Fanny Kassel 
Complete Lorentz spacetimes in dimension three, I 

Francois Labourie 
Convex Anosov representations, Intersection and the Pressure Metric 

Michelle Lee 
Dynamics on the PSL(2;C)character variety of certain hyperbolic 3manifolds 

Brice Loustau 
Hyperkähler metrics on complex projective structures 

Sara Maloni 
Plumbing Constructions in Quasifuchsian Space 

Kathryn Mann 
Two (or more) reasons to care about 3manifold representations in PSL(2;R) 

Howard Masur 
WeilPetersson metric on Teichmüller space 

Babak Modami 
Prescribing the behavior of WeilPetersson geodesics 

Andrew Neitzke 
Spectral Networks 

Tony Pantev 
Higgs bundles and representations of fundamental groups 

Robert Rubio 
Higgs bundles and Hermitian symmetric spaces 

Andres Sambarino 
On the convex core of a representation in the Hitchin component 

Andrew Sanders 
Minimal surfaces in hyperbolic 3manifolds 

John Smillie 
Translation surfaces and Teichmüller dynamics 

Tobias Strubel 
Cross ratios for maximal representations 

Nicolas Tholozan 
(G,X)structures: an introduction to the problem of completeness 

Anastasiia Tsvietkova 
Hyperbolic Structures from Link Diagrams 

Anna Wienhard 
Higher Teichmüller spaces and Anosov representations 

Alex Wright 
Large SL(2;R) orbit closures in the moduli of translation surfaces 

Tian Yang 
A deformation of Penner's simplicial coordinate 

Alfonso Zamora 
A GIT interpretation of the HarderNarasimhan filtration 
Reimbursement Form
Contact Information:
Please send any questions to: gearretreat@math.uiuc.edu.
GEAR Retreats 2012 Poster (download poster in pdf format for printing)
Join the GEAR page on Google Groups for a messageboard discussion of GEAR topics.