Orbit Counting Theorem for Cusped Hitchin Representations

Orbit Counting Theorem for Cusped Hitchin Representations

Institut des Hautes Etudes Scientifiques (IHES) via YouTube Direct link

Intro

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1 of 16

Intro

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Orbit Counting Theorem for Cusped Hitchin Representations

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  1. 1 Intro
  2. 2 Positive tuples of flags
  3. 3 Cusped Hitchin representation
  4. 4 Very rough idea of proof
  5. 5 Bowen-Series coding: Example
  6. 6 Bowen-Series coding: General case General construction.
  7. 7 Bowen-Series coding: Technical issues
  8. 8 Bowen-Series coding: A fix
  9. 9 Nice countable Markov shifts
  10. 10 Quint's Iwasawa cocycle: General
  11. 11 Nice potentials: lengths
  12. 12 Nice potentials: entropy gap
  13. 13 Orbit counting theorem
  14. 14 Renewal theorem
  15. 15 Strategy: Partition into cylinders
  16. 16 Equidistribution/Motivation

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