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Home » [HYBRID WORKSHOP] Introductory Workshop: Complex Dynamics - from special families to natural generalizations in one and several variables

Workshop

[HYBRID WORKSHOP] Introductory Workshop: Complex Dynamics - from special families to natural generalizations in one and several variables February 08, 2022 - February 17, 2022
Registration Deadline: February 14, 2022 10 months ago
To apply for Funding you must register by: December 01, 2021 about 1 year ago
Parent Program:
Location: MSRI: Simons Auditorium, Atrium
Organizers Anna Miriam Benini (Università di Parma), Fabrizio Bianchi (Université de Lille), Mikhail Hlushchanka (Universiteit Utrecht), LEAD Dylan Thurston (Indiana University)
Speaker(s)

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Description
Parameterspacechiarotagliato
Parameter space for the family $e^z+c$
This will be a hybrid workshop with in-person participation by members of the semester-long program. Online participation will be open to all who register.  This workshop is built around four minicourses that will introduce the participants to a range of recent techniques in various areas of holomorphic dynamics, given by specialists in these topics. The event is complemented by a series of talks by leaders in the field, aimed at a large audience and presenting current research directions in the area. Bibliography
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
  • potential theory

  • Parameter spaces of holomorphic dynamical systems

  • Thurston theory for rational maps

  • transcendental dynamics

  • Local dynamics in several complex variables

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
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 Ph.D.'s, 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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MSRI has a preferred rates at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Institute discount. To book online visit this page. Click on "Promo/Corporate Code" at the top of the page and enter the code MSRI (this code is not case sensitive).

MSRI has preferred rates at the Graduate Berkeley, depending on room availability. Reservations may be made by calling 510-845-8981. When making reservations, guests must request the MSRI preferred rate. Enter in the Promo Code MSRI (this code is not case sensitive).

MSRI has preferred rates at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select "Affiliated with the Space Sciences Lab, Lawrence Hall of Science or MSRI." When prompted for your UC Contact/Host, please list Chris Marshall (coord@msri.org).

MSRI has a preferred rates at Easton Hall and Gibbs Hall, depending on room availability. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page, select "Request a Reservation" choose the dates you would like to stay and enter the code MSRI (this code is not case sensitive).

Additional lodging options may be found on our short term housing page.

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Schedule, Notes/Handouts & Videos
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Feb 08, 2022
Tuesday
09:20 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Local Dynamics in SCV and Applications: Parabolic Implosion in Dimension 1
Matthieu Astorg (Université d'Orléans)
10:30 AM - 10:45 AM
  Break
10:45 AM - 11:45 PM
  Thurston Theory and Application: Pt I
Dzmitry Dudko (Stony Brook University)
Feb 09, 2022
Wednesday
09:00 AM - 10:00 AM
  Thurston Theory and Application: Pt II
Dzmitry Dudko (Stony Brook University)
10:00 AM - 10:15 AM
  Break
10:15 AM - 11:15 AM
  Local Dynamics in SCV and Applications: Parabolic Dynamics in Several Dimensions
Liz Vivas (Ohio State University)
11:15 AM - 11:30 AM
  Break
11:30 AM - 12:20 PM
  Postcritically Finite Endomorphisms
Sarah Koch (University of Michigan)
Feb 10, 2022
Thursday
09:30 AM - 10:30 AM
  Local Dynamics in SCV and Applications: Parabolic Implosion in Higher Dimension
Matthieu Astorg (Université d'Orléans)
10:30 AM - 10:45 AM
  Break
10:45 AM - 11:45 AM
  Thurston Theory and Application: Pt III
Nikita Selinger (University of Alabama at Birmingham)
Feb 11, 2022
Friday
09:00 AM - 10:00 AM
  Thurston Theory and Application: Pt IV
Dzmitry Dudko (Stony Brook University)
10:00 AM - 10:15 AM
  Break
10:15 AM - 11:15 AM
  Local Dynamics in SCV and Applications: Parabolic Curves and Parabolic Domains
Liz Vivas (Ohio State University)
11:15 AM - 11:30 AM
  Break
11:30 AM - 12:20 PM
  A Priori Bounds for Quadratic Maps
Mikhail Lyubich (State University of New York, Stony Brook)
Feb 14, 2022
Monday
09:30 AM - 10:30 AM
  Potential Theory Tools in Rational Dynamics: Pt I
Thomas Gauthier (Université Paris-Saclay)
10:30 AM - 10:45 AM
  Break
10:45 AM - 11:45 AM
  Approximation Theory in Transcendental Dynamics Pt I
David Martí-Pete (University of Liverpool)
Feb 15, 2022
Tuesday
09:00 AM - 10:00 AM
  Approximation Theory in Transcendental Dynamics Pt II
Vasiliki Evdoridou (The Open University)
10:00 AM - 10:15 AM
  Break
10:15 AM - 11:15 AM
  Potential Theory Tools in Rational Dynamics: Pt II
Thomas Gauthier (Université Paris-Saclay)
11:15 AM - 11:30 AM
  Break
11:30 AM - 12:20 PM
  The Denjoy-Wolff Theorem: from the Unit Disk to Wandering Domains of Holomorphic Functions
Núria Fagella (University of Barcelona)
Feb 16, 2022
Wednesday
09:00 AM - 10:00 AM
  Potential Theory Tools in Rational Dynamics: Pt III
Thomas Gauthier (Université Paris-Saclay)
10:00 AM - 10:15 AM
  Break
10:15 AM - 11:15 AM
  Approximation Theory in Transcendental Dynamics Pt III
Vasiliki Evdoridou (The Open University)
11:15 AM - 11:30 AM
  Break
11:30 AM - 12:20 PM
  Dynamics of Rational Surface Automorphisms
Eric Bedford (State University of New York, Stony Brook)
Feb 17, 2022
Thursday
09:00 AM - 10:00 AM
  Potential Theory Tools in Rational Dynamics: Pt IV
Thomas Gauthier (Université Paris-Saclay)
10:00 AM - 10:15 AM
  Break
10:15 AM - 11:15 AM
  Approximation Theory in Transcendental Dynamics Pt IV
David Martí-Pete (University of Liverpool)
11:15 AM - 11:30 AM
  Break
11:30 AM - 12:20 PM
  Dynamics on Complex Surfaces with Minimal Entropy
Curtis McMullen (Harvard University)