# GEAR Junior Retreat 2014

## May 23-June 1, 2014, University of Michigan at Ann Arbor

Video archive

## May 23, 2014

- John Parker - Complex Hyperbolic Geometry and Quasi-Fuchsian Groups I
- Subhojoy Gupta - Holonomy Fibers and Complex Projective Structures
- David Dumas - Complex Projective Structures and Their Holonomy Limits I

## May 24, 2014

- John Parker - Complex Hyperbolic Geometry and Quasi-Fuchsian Groups II
- David Dumas - Complex Projective Structures and Their Holonomy Limits II
- Julien Paupert - Real Reflections, Commutators, and Cross-Ratios in Complex Hyperbolic Space

## May 25, 2014

- Kim Ruane - Boundaries of CAT(0) Groups and Spaces I
- Martin Bridgeman - Geodesic Flows, Convex Anosov Representations and Pressure Metrics I
- Johanna Mangahas - Purely Loxodromic Subgroups of Right-Angled Artin Groups

## May 26, 2014

- Martin Bridgeman - Geodesic Flows, Convex Anosov Representations and Pressure Metrics II
- Kim Ruane - Boundaries of CAT(0) Groups and Spaces II
- Duc Manh Nguyen - Cylinder Decompositions and GL(2,R)-orbit Closures of Genus Three Translation Surfaces
- Anne Parreau - Compactification of Representation Spaces Through Length Functions

## May 28, 2014

- Yair Minsky - Curves, Surfaces, and Hyperbolic 3-manifolds I
- Sergei Gukov - Quantization via Mirror Symmetry I
- Sebastian Hensel - The Set of Uniquely Ergodic Interval Exchange Transformations is Path-Connected

## May 29, 2014

- Sergei Gukov - Quantization via Mirror Symmetry II
- Yair Minsky - Curves, Surfaces, and Hyperbolic 3-manifolds II
- David Baraglia - Higgs Bundles and Character Varieties

## May 30, 2014

- Richard Wentworth - On the Geometry of the Moduli Space of Higgs Bundles I
- Julien Marche - SL2-character Varieties of 2 and 3-manifolds Through Examples I
- Christian Zieckert - Coordinates for Representations of 3-manifold Groups

## May 31, 2014

- Julien Marche - SL2-character Varieties of 2 and 3-manifolds Through Examples II
- Richard Wentworth - On the Geometry of the Moduli Space of Higgs Bundles II
- Florent Schaffhauser - Representation Varieties in Real Algebraic Geometry