Teichmüller theory, classical and neo-classical
Introductory Workshop: Topological and Geometric Structures in Low Dimensions & Geometry and Dynamics for Discrete Subgroups of Higher Rank Lie Groups January 26, 2026 - January 30, 2026
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
We survey some elements of classical Teichmüller theory, adopting a perspective of solving variational problems on surfaces equipped with a succession of geometric structures. Much of the discussion can be framed in terms of surface group representations into PSL(2,\R), but we hint at developments in higher rank with concluding remarks on the SL(3,\R) setting.