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Complex Dynamics reading group

Tentative schedule

We will meet in the common room a little before the scheduled times on the following days before moving to an appropriate location.

Term 1

Thursday 26 September 2019 (2pm-3pm) - Julia sets and Fatou sets (Tasos)

Wednesday 2 October 2019 (2pm - 3pm) - Julia sets and Fatou sets II (Tasos)

Wednesday 9 October 2019 (2pm - 3pm) - Attracting and repelling periodic orbits I (Solly)

Tuesday 15 October 2019 (9am - 10am) - Attracting and repelling periodic orbits II (Solly)

Tuesday 15 October 2019 (11am - 12am) - The quadratic family I - A taste of quadratic dynamics (Thomas)

Tuesday 22 October 2019 (10am - 12am) - The quadratic family II - Towards the quadratic family (Thomas)

Wednesday 30 October 2019 - The quadratic family II - Towards the quadratic family (Thomas)

Wednesday 6 November 2019 (2pm - 4pm) - Fatou components and parabolic fixed points (Selim)

Wednesday 13 November 2019 (2pm - 4pm) - Parabolic fixed points (Selim)

Term 2

Wednesday 11 February 2020 (10am-12pm) - Recap session

Notes

Weeks one and two (Tasos)

Weeks three and four (Solly)

Week four (Thomas)

Week five and six (Thomas)

References
  • Dynamics in One Complex Variable, Milnor
  • The Orsay Notes, Douady and Hubbard
  • Complex Dynamics, Carleson and Gamelin