Graduate school on Geometry of Teichmuller spaces April 15-19, 2019

by

Organized by: Samuel Grushevsky, Babak Modami, and Leon Takhtajan

Teichmuller theory and moduli spaces of Riemann surfaces have a special role in modern mathematics: they have been a fruitful playground for ideas and methods from complex and algebraic geometry, topology, analysis, and more recently dynamical systems. The main goal of this graduate school is to give the students the opportunity to learn about the various geometric structures on Riemann surfaces and their moduli, and related concepts in Teichmuller theory.

The core of the school will be four mini-courses given by
Richard Canary (University of Michigan)
Carlos Matheus (CNRS- Ecole Polytechnique)
Yair Minsky (Yale University)
Scott Wolpert (University of Maryland)

The topics covered will include the metrics on Teichmuller spaces; coarse geometry and combinatorics of geometric structures on Teichmuller spaces; totally geodesic subvarieties of the Teichmuller space and SL(2,R) actions, with relations to polygonal billiards; higher Teichmuller theory and representation varieties. The mini-courses will be complemented by a few survey research talks by local experts.

The workshop is funded by the National Science Foundation through an RTG grant to the Simons Center and the Department of Mathematics.

Talk Schedule


Time Title Speaker Location
9:00am Coarse Geometry of Teichmuller Space, Part 1 Yair Minsky SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Totally Geodesic Subvarities of Moduli Spaces, Part 1 Carlos Matheus SCGP 102
12:30pm Lunch N/A SCGP Cafe
2:00pm Coarse Geometry of Teichmuller Space, Part 2 Yair Minsky SCGP 102
3:30pm Tea Time N/A SCGP Cafe
4:00pm Trajectories on the Platonic Solids David Aulicino SCGP 102

Time Title Speaker Location
9:00am Series: Variations of Riemann surfaces, Part 1 Scott Wolpert SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Totally geodesic subvarities of moduli spaces, Part 2 Carlos Matheus SCGP 102
12:30pm Lunch N/A SCGP Cafe
2:00pm Coarse geometry of Teichmuller space, Part 3 Yair Minsky SCGP 102
3:30pm Tea Time N/A SCGP Cafe
4:00pm Cubic Differentials and Convex Real Projective Structures John Loftin N/A

Time Title Speaker Location
9:00am Series: Variations of Riemann surfaces, Part 2 Scott Wolpert SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Higher Teichmuller spaces and pressure metrics, Part 1 Richard Canary SCGP 102
12:30pm Lunch N/A SCGP Cafe

Time Title Speaker Location
9:00am Totally geodesic subvarities of moduli spaces, Part 3 Carlos Matheus SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Higher Teichmuller spaces and pressure metrics, Part 2 Richard Canary SCGP 102
12:30pm Lunch N/A SCGP Cafe
2:00pm Quasiflats in hierarchically hyperbolic spaces Jason Behrstock SCGP 102
3:30pm Tea Time N/A SCGP Cafe
4:00pm Math Colloquium: Prime Geodesic Theorems Math Colloquium: Scott Wolpert SCGP 102

Time Title Speaker Location
9:00am Series: Variations of Riemann, surfaces 3 Scott Wolpert SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Higher Teichmuller spaces and pressure metrics, Part 2 Richard Canary SCGP 102
12:30pm Lunch N/A SCGP Cafe