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The First GEAR Retreat and Junior Retreat (July 23-August 10, 2012)


Speakers and more  | Panels  | Participants |  Photos  |  Video Archive Contact Information


The Junior Retreat (July 23-August 3, 2012) for graduate students and postdocs featured mini-courses, problem sessions, short research talks, and activities designed to promote interaction. The Retreat (August 6-10, 2012) included survey talks, research talks, and forums for discussion. Both Retreats were structured around five themes:

The forums for discussion included:

Video Archive of Lectures
Junior Retreat Schedule, Junior Retreat Abstracts
Retreat Schedule, Retreat Abstracts
List of registered participants
View the original RETREATS 2012 webpages

      Mini-Courses

Jayadev Athreya
Univ. of Illinois at Urbana-Champaign

Quantitative Aspects of Translation Surfaces

Video 1, Video 2, Video 3
Athreya-slides.pdf
Athreya_ProblemSet1.pdf
Athreya_ProblemSet2.pdf
prezi_presentation.html

Yves Benoist Univ. Paris-Sud

On divisible convex sets

Video 1, Video 2, Video 3
Benoist-ProblemSets.pdf
Benoist-sample-solutions.pdf

Steven Bradlow
Univ. of Illinois at Urbana-Champaign

Introduction to Higgs bundles on Riemann surfaces

Video 1, Video 2, Video 3
Bradlow-lecture1-slides.pdf
Bradlow-lecture2-slides.pdf
Bradlow-lecture3-slides.pdf
Bradlow-HiggsExercises.pdf
Bradlow-sample-solutions.pdf
Bradlow-HiggsResources.pdf

Jeffrey Brock Brown Univ.

Combinatorial Teichmüller Spaces

 

Video 1, Video 2, Video 3
Brock-ProblemSets.pdf
Brock-sample-solutions.pdf

Marc Culler Univ. of Illinois at Chicago

Introduction to Hyperbolic 3-manifolds

Video 1, Video 2, Video 3
Culler-lecture1-slides.pdf
Culler-lecture2-slides.pdf
Culler-lecture3-slides.pdf
Culler-ProblemSet1.pdf
Culler-ProblemSet2.pdf
Culler-SolutionsSet.pdf

Olivier Guichard
Univ. Paris-Sud

Maximal representations

Video 1, Video 2, Video 3
Guichard-exercises.pdf
Guichard-sample-solutions.pdf

Darren Long Univ. California, Santa Barbara

Hyperbolic manifolds: Some other families of representations

Video 1, Video 2, Video 3
Long-ProblemSet.pdf
Long-Solutions.pdf
Long-FigureEight-beta&rho.pdf
Long-exprplot.pdf
Long-334representation-t.pdf
Long-334representation-uv.pdf

Karin Melnick Univ. of Maryland

Introduction to (G;X)-structures

 

Video 1, Video 2, Video 3
Melnick-ProblemSet1.pdf
Melnick-ProblemSet2.pdf
Melnick-sample-solutions.pdf

      Individual Talks

David Aulicino
Univ. of Maryland

Teichmüller Discs with Completely Degenerate Kontsevich-Zorich Spectrum

Video
Aulicino-slides.pdf  

 

Sam Ballas
Univ. of Texas at Austin

Twisted Cohomology and Deformation Theory

Video
Ballas-slides.pdf

Anja Bankovic
Univ. of Illinois at Urbana-Champaign

Equivalent curves in surfaces

Video
Bankovic-slides.pdf

Ian Biringer
Yale Univ.

Extension into handlebodies and limits of Kleinian groups

Video

Richard Canary Univ. of Michigan

Deformation Spaces of Hyperbolic 3-manifolds

Video
Canary-slides.pdf  

 

Daryl Cooper
Univ. of California, Santa Barbara

Geometric Structures

Video

Jeff Danciger
Univ. of Texas at Austin

Complete Lorentz spacetimes in dimension three, II

Video

Spencer Dowdall
Univ. of Illinois at Urbana-Champaign

Kleinian convex cocompact subgroups of mapping class groups

Video

Guillaume Dreyer USC / Notre Dame

Hyperbolic geometry in higher Teichmüller theory

Video
Dreyer-slides.pdf  

David Dumas
Univ. of Illinois at Chicago

Osculation in complex projective and hyperbolic structures

Video

Nathan Dunfield
Univ. of Illinois at Urbana-Champaign

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

Video

Emilio Franco
ICMAT-CSIC, Madrid

Higgs bundles over elliptic curves

Video
Franco-slides.pdf

Oscar Garcia-Prada
CSIC, Madrid

Higgs bundles and representations of surface groups

Video

Alberto Garcia-Raboso
Univ. of Pennsylvania

A non-abelian Hodge theorem for twisted vector bundles

Video

Jonah Gaster
Univ. of Illinois at Chicago

A skinning map that is not one-to-one, and has a critical point

Video
Gaster-slides.pdf

Thomas Haettel
Univ. Paris-Sud, Orsay

Visual limits of maximal ats in symmetric spaces and Euclidean buildings

Video

Fanny Kassel
Université Lille 1

Complete Lorentz spacetimes in dimension three, I

Video

Francois Labourie
Univ. Paris-Sud

Convex Anosov representations, Intersection and the Pressure Metric

Video

Michelle Lee
Univ. of Maryland

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

Video

Brice Loustau
Univ. Paris-Sud, Orsay

Hyperkähler metrics on complex projective structures

Video
Loustau-slides.pdf

Sara Maloni
Univ. of Warwick

Plumbing Constructions in Quasifuchsian

Space

Video
Maloni-slides.pdf  

Kathryn Mann
Univ. of Chicago

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

Video
Mann-slides.pdf

Howard Masur
Univ. of Chicago

Weil-Petersson metric on Teichmüller space

Video

Babak Modami
Yale Univ.

Prescribing the behavior of Weil-Petersson geodesics

Video

Andrew Neitzke
Univ. of Texas at Austin

Spectral Networks

Video
Nietzke-slides.pdf  

Tony Pantev
Univ. of Pennsylvania

Higgs bundles and representations of fundamental groups

Video

Robert Rubio
Oxford Univ.

Higgs bundles and Hermitian symmetric spaces

Video

Andres Sambarino
Univ. Paris-Sud, Orsay

On the convex core of a representation in the Hitchin component

Video

Andrew Sanders
Univ. of Maryland

Minimal surfaces in hyperbolic 3-manifolds

Video

John Smillie
Cornell

Translation surfaces and Teichmüller dynamics

Video

Tobias Strubel
Princeton

Cross ratios for maximal representations

Video

Nicolas Tholozan
Univ. Nice Sophia Antipolis

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

Video

Anastasiia Tsvietkova
Univ. of Tennessee

Hyperbolic Structures from Link Diagrams

Video
Tsvietkova-slides.pdf  

Anna Wienhard
Princeton

Higher Teichmüller spaces and Anosov representations

Video

Alex Wright
Univ. of Chicago

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

Video
Wright-slides.pdf  

Tian Yang
Rutgers Univ.

A deformation of Penner's simplicial coordinate

Video

Alfonso Zamora
ICMAT-CSIC, Madrid

A GIT interpretation of the Harder-Narasimhan filtration

Video
Zamora-slides.pdf
Gomez-Sols-Zamora-paper.pdf


Reimbursement Form

Contact Information:

 Please send any questions to: gear-retreat@math.uiuc.edu.

GEAR Retreats 2012 Poster (download poster in pdf format for printing)

Join the GEAR page on Google Groups for a message-board discussion of GEAR topics.

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