Resonances of complex dynamics

ICMS, 15 South College Street, Edinburgh, EH8 9AA

9-13 July 2018

Scientific organisers

Simon Albrecht, University of Liverpool 
Lasse Rempe-Gillen, University of Liverpool 
Gwyneth Stallard, Open University

Additional organisers

Patrick Comduehr, University of Kiel
Alexandre Eremenko, Purdue University
Dierk Schleicher, Jacobs University, Bremen

This workshop will enable progress in one-dimensional complex dynamics and connected areas, such as function theory, dynamics of quasiregular mappings, higher-dimensional complex dynamics, fractal geometry and continuum theory, by focusing on fundamental interactions between them. There will be a particular focus on influences and resonances of the iteration of transcendental functions with this diverse set of areas. Leading experts will present overviews of such connections, and discuss outstanding problems of major significance where this point of view might lead to fundamentally new insights. The workshop will celebrate the 60th birthday of Professor Walter Bergweiler, one of the world leaders in transcendental dynamics, whose work has had a profound influence on a range of mathematical disciplines.

Group photographs of the workshop delegates and some images from the Maths and Music public event are now available on our Flickr account.

Arrangements

Invited speakers and participants will receive an email invitation from ICMS in March 2018.

REGISTRATION FEE

There will be a registration fee of 100.00 GBP for this workshop. This will be collected on arrival at ICMS at registration.  The registration fee is payable by all participants with the exception of organisers and locals.

PUBLIC APPLICATION

The closing date for applications has passed and all applicants have been notified.

Programme

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Monday 9 July

08:30-09:30

Registration & coffee/tea in the Chapterhouse, Level 1

09:30-09:40

Welcome

 

Connections between complex dynamics and function theory

09:40-10:35

Alexandre Eremenko (Purdue University)
Interaction between complex dynamics and function theory
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10:40-11:10

Coffee/tea & discussion in the Chapterhouse, Level 1

11:10-11:55

David Drasin (Purdue University)
The sharpness of the Mues conjecture (confirmed by K. Yamanoi)
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12:00-14:30

Lunch & discussion in the Chapterhouse, Level 1

14:30-15:25

Phil Rippon (Open University)
Multiply connected wandering domains of entire functions
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15:30-15:55

Patrick Ng (University of Hong Kong)
Smale's mean value conjecture and related problems
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16:00-16:30

Coffee/tea & discussion in the Chapterhouse, Level 1

16:30-16:55

Yuefei Wang (Chinese Academy of Sciences)
Dynamics on the one dimensional Berkovich space

17:00-17:25

Dave Sixsmith (University of Liverpool)
On simply-connected domains with connected preimage

17:30-18:45

Poster session and informal wine reception in the Chapterhouse, Level 1

 

Tuesday 10 July

 

Connections from transcendental dynamics

09:30-10:25

Núria Fagella (Universitat de Barcelona)
Fatou components of transcendental maps and singularities
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10:30-11:00

Coffee/tea & discussion in the Chapterhouse, Level 1

11:00-11:55

Arnaud Chéritaut (Institut de Mathématiques de Toulouse)
Similarities between Julia sets of exponential maps and Hedgehogs of quadratic maps, definition of a toy model
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11:55-12:00

Group photograph to be taken at Old College quad

12:00-14:30

Lunch & discussion in the Chapterhouse, Level 1

14:30-14:55

Anna Benini (University of Barcelona)
How many repelling orbits can be rationally invisible?

15:00-15:25

Bogusława Karpińska (Warsaw University of Technology)
Escaping points in the boundaries of Baker domains
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15:30-15:55

Masashi Kisaka (Kyoto University)
Construction of transcendental entire functions of arbitrarily slow growth with prescribed polynomial dynamics
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16:00-16:30

Coffee/tea & discussion in the Chapterhouse, Level 1

16:30-17:25

Mitsuhiro Shishikura (Kyoto University)
Oscillating wandering domain for a transcendental entire function of class B

18:00

Doors open to public

18:30-19:30

PUBLIC LECTURE
Jack Adler-McKean, Emily Howard, Lasse Rempe-Gillen
Music and Mathematics, Chaos or Chess

An evening of Mathematics and Music

19:30-20:30

Informal wine reception in the Chapterhouse, Level 1

 

Wednesday 11 July

 

1D complex dynamics and higher dimensions

09:30-10:25

Daniel Nicks (University of Nottingham)
The quasi-Fatou set in quasiregular dynamics
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10:30-11:00

Coffee/tea & discussion in the Chapterhouse, Level 1

11:00-11:55

Mikhail Lyubich (Stony Brook University)
On the local connectivity and the area problems in the quadratic dynamics

12:00-12:25

Matthieu Astorg (Universite d'Orleans)
Wandering domains in higher dimension

12:30 onwards

Free afternoon 

 

Thursday 12 July

 

Connections with rational dynamics and with fractal geometry

09:30-10:25

Pascale Roesch (Institut de Mathématiques de Toulouse)
From polynomials to rational maps some examples
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10:30-11:00

Coffee/tea & discussion in the Chapterhouse, Level 1

11:00-11:25

Lukas Geyer (Montana State University)
Dynamical moduli spaces and multipliers of periodic points
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11:30-12:15

Open problems

12:15-14:30

Lunch & discussion in the Chapterhouse, Level 1

14:30-15:25

Mariusz Urbański (University of North Texas)
Thermodynamic formalism and iterated function systems in transcendental dynamics
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15:30-16:00

Coffee/tea & discussion in the Chapterhouse, Level 1

16:00-16:25

Anna Zdunik (University of Warsaw)
Random non- hyperbolic exponential maps
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16:30-16:55

Krzysztof Barański (University of Warsaw)
Pressure and conformal measures for transcendental meromorphic maps
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17:00-17:25

Bob Devaney (Boston University)
Dynamics of the maps z^n + C / z^n;  why n = 2 is crazy

17:30-19:00

Free time 

19:00

Workshop dinner at the Playfair Library Hall, Old College, South Bridge (see map)

 

Friday 13 July

Real dynamics & Geometric group theory

09:30-10:25

Mario Bonk (UCLA)
Sullivan's dictionary, Cannon's conjecture, and expanding Thurston maps

10:30-10:55

Daniel Meyer (University of Liverpool)
Quasispheres and expanding Thurston maps
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11:00-11:30

Coffee/tea & discussion in the Chapterhouse, Level 1

11:30-11:55

Neil Dobbs (University College Dublin)
Birkhoff averages of perturbations

12:00-12:55

Sebastian van Strien (Imperial College London)
Complex methods in real dynamics
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13.00

Close of workshop

 

Download the pdf of the abstracts