Home /  Adventurous Berkeley Complex Dynamics

Workshop

Adventurous Berkeley Complex Dynamics May 02, 2022 - May 06, 2022
Registration Deadline: May 06, 2022 about 2 years ago
To apply for Funding you must register by: February 02, 2022 over 2 years ago
Parent Program:
Location: SLMath: Eisenbud Auditorium, Atrium
Organizers Mikhail Lyubich (State University of New York, Stony Brook), LEAD Jasmin Raissy (Institut de Mathématiques de Bordeaux), LEAD Roland Roeder (Indiana University--Purdue University), Dierk Schleicher (Université d'Aix-Marseille (AMU))
Speaker(s)

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Description
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Image by Scott Kaschner
This workshop will focus on complex dynamics in one and several variables. We will bring toghether experts in rational dynamics, transcendental dynamics, and dynamics in several complex variables in order to get new perspective and foster discussions in a warm and stimulating atmosphere. A special focus will be put on the interactions between one dimensional and higher dimensional complex dynamics, and on connections with adjacent areas of mathematics. Bibliography Participant Posters Herman Rings: A Priori Bounds and Degeneration by Willie Rush Lim Dynamics of Rational Skew Products by Richard Birkett Critically fixed Thurston maps by Nikolai Prochorov Semi-hyperbolicity implies existence of ACIPs for real multimodal maps by Trevor Clark, Sebastian van Strien, Matteo Tabaro  
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
  • Complex Dynamics

  • Holomorphic dynamics

  • rational maps

  • transcendental maps

  • renormalization

  • maps in several complex variables

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Funding & Logistics Show All Collapse

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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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May 02, 2022
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Spiraling Domains in Dimension 2
Xavier Buff (Université de Toulouse III (Paul Sabatier))
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Real Quadratic Maps
John Milnor (Institute for Mathematical Sciences)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Spectrum of the Laplacian for the Basilica Group and Renormalization
Nguyen-Bac Dang (Université Paris-Saclay)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Complex Rotation Numbers and Renormalization
Nataliia Goncharuk (University of Toronto, Mississauga)
May 03, 2022
Tuesday
09:30 AM - 10:30 AM
  Dimension of Expanding Maps
Volodymyr Nekrashevych (Texas A & M University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Stable Marked Points in Holomorphic Dynamics
Thomas Gauthier (Université Paris-Saclay)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Irreducibility of Gleason polynomials Implies Irreducibility of Per_n
Rohini Ramadas (University of Warwick)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  MLC Along the Real Line
Dzmitry Dudko (Stony Brook University)
May 04, 2022
Wednesday
09:00 AM - 10:00 AM
  Topogical Entropy of Rational Maps (Over any Metrized Field)
Charles Favre (École Polytechnique)
10:05 AM - 11:05 AM
  Out-of-the-Box Rigidity via Box Mappings
Kostiantyn Drach (Institute of Science and Technology Austria)
11:05 AM - 11:30 AM
  Break
11:30 AM - 12:30 PM
  Special Parameters in Spaces of Meromorphic Maps
Anna Miriam Benini (Università di Parma)
May 05, 2022
Thursday
09:30 AM - 10:30 AM
  The Modular Mandelbrot Set
Luciana Luna Anna Lomonaco (Institute of Pure and Applied Mathematics (IMPA))
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Nice Quasidisks and Prime Orbit Counting
Juan Rivera-Letelier (University of Rochester)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  A Spectral Gap for the Transfer Operator on Complex Projective Spaces
Fabrizio Bianchi (Université de Lille)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  On the Limits of Quasiconformal Deformation of Rational Maps
Mitsuhiro Shishikura (Kyoto University)
May 06, 2022
Friday
09:30 AM - 10:30 AM
  When do Two Rational Functions have Locally Biholomorphic Julia Sets?
Romain Dujardin (Sorbonne Université)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Deformation Space Analogies between Kleinian Reflection Groups and Rational Maps
Sabyasachi Mukherjee (Tata Institute of Fundamental Research)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Invariant Currents for Surface Maps with Transcendental First Dynamical Degree
Jeff Diller (University of Notre Dame)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Bifurcation Loci of Families Finite Type Meromorphic Maps
Núria Fagella (University of Barcelona)
04:30 PM - 06:30 PM
  Reception