Special Professor
Supervisor of Doctorate Candidates
Supervisor of Master's Candidates
Hits:
Course Introduction:1. Representation of fundamental groups of surfaces, fiber bundles, connections 2. Cohomology and torsion 3. Character variety 4. Symplectic structure 5. Volumes of moduli spaces of Riemann surfaces, multicurves counting and intersection theory 6. Cluster algebra and positive representations 7. Primarily on the geometry and topology of three-manifolds 8. Skein algebras, quantum groups and 3D quantum invariants 9. Chern-Simons 10. Higgs bundles, harmonic maps 11. Anosov representations
Venue:2409
Schedule:2023/9
Testing Method:Report
Target Students:master/phd students
Discipline:Mathematics
Teacher:Zhe SUN
School Year:2023-2024
Semester:Autumn Term
Course number:MATH7429P.01
Credits:4.0
Course Type:Postgraduate Course:
Top-Quality Courses or Not:no
Required Class Hours:80.0
Courses and reference books:François Labourie, Lectures on Representations of Surface Groups Maryam Mirzakhani, Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces Vladimir Fock, Alexander Goncharov, Moduli spaces of local systems and higher Teichmüller theory William P. Thurston, The Geometry and Topology of Three-Manifolds Richard D. Canary, Anosov representations: informal lecture notes Richard Wentworth, Higgs Bundles and Local Systems on Riemann Surfaces
