AN INVITATION TO HIGHER TEICHMÜLLER THEORY
By Anna Wienhard. International Congress of Mathematicans, 2019
104 citations recorded by the source corpus.
Riemann surfaces are of fundamental importance in many areas of mathematics and theoretical physics. The study of the moduli space of Riemann surfaces of a fixed topological type is intimately related to the study of the Teichmüller space of that surface, together with the action of the mapping class group. Classical Teichmüller theory has many facets and involves the interplay of various methods from geometry, analysis, dynamics and algebraic geometry. In recent years, higher Teichmüller theory emerged as a new field in mathematics. It builds as well on a combination of methods from different areas of mathematics. The goal of my talk is to invite the reader to get to know and to get involved into higher Teichmüller theory by describing some of its
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/5a3fd540067740d52475b897e4ac2a68f586e0ee
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In Geometry and Topology
- Minju M. Lee
- Samuel Edwards
- H. Oh
- Peter Sarnak
- A. Mohammadi
- Alexander Gorodnik
- Akshay Venkatesh
- Alex Kontorovich
In Mathematical Physics
- Minju M. Lee
- Samuel Edwards
- H. Oh
- Peter Sarnak
- Alexander Gorodnik
- Akshay Venkatesh
- A. Mohammadi
- Y. Benoist
Citations in the corpus
- Invariant Measures for Horospherical Actions and Anosov Groups (2020, result): “We also refer to the work of Kapovich, Leeb and Porti [19] for other equivalent characterizations of Anosov groups, as well as to excellent survey articles by Kassel and Wienhard ([20], [45]) on higher Teichmüller theory.”
- Anosov groups: local mixing, counting and equidistribution (2020, background): “) for other equivalent definitions of Anosov subgroups, and to ([25], [57]) for excellent survey articles.”