ICERM Semester Program on "Complex and Arithmetic Dynamics"
(January 30, 2012 - May 4, 2012)
[Julia Set image courtesy of wikimedia]
This image represents the Julia set for a complex quadratic polynomial.
Introduction
The goal of this program is to bring together researchers in complex dynamics, arithmetic dynamics, and related fields, with the purpose of stimulating interactions, promoting collaborations, making progress on fundamental problems, and developing theoretical and computational foundations on which future work will build. Complex dynamics is the study of iteration of holomorphic self-maps of a complex space. Fundamental examples of such maps arise as algebraic self-maps of algebraic varieties. Starting with the fundamental results of Fatou and Julia, complex dynamics has evolved into a well established field with many deep theorems and many important unresolved questions. Arithmetic dynamics refers to the study of number theoretic phenomena arising in dynamical systems on algebraic varieties. Many global problems in arithmetic dynamics are analogues of classical problems in the theory of Diophantine equations or arithmetic geometry, including for example uniform bounds for rational periodic points, intersections of orbits with subvarieties, height bounds and/or measure-theoretic distributions of dynamically defined sets of special points, and local-global obstructions.
While global arithmetic dynamics bears a resemblence to arithmetic geometry, the theory of p-adic (nonarchimedean) dynamics draws much of its inspiration from classical complex dynamics. As in complex dynamics, a fundamental question is to characterize orbits by their topological or metric properties. Recent progress in p-adic dynamics, especially in dimension one, has benefited from the introduction of Berkovich space into the subject.
Many computational and graphical techniques have been developed for the study of complex dynamics that have been of immense value in the development of the complex theory. Among the goals of the program will be the development of a comprehensive set of tools for studying p-adic and arithmetic dynamics.
Associated Events & Information
Related Events
Conference on automorphisms, endomorphisms of algebraic varieties and compact complex manifolds from the point of view of complex dynamics
December 18 - 23, 2011 (Sun-Fri)
Shirahama, Wakayama, Japan
Joint Mathematics Meetings, Boston, MA American Mathematical Society Special Session on Dynamical Systems in Algebraic and Arithmetic Geometry
Wednesday January 4, 2012, 8:00 a.m.-10:50 a.m.
Wednesday January 4, 2012, 2:15 p.m.-6:05 p.m.
Thursday January 5, 2012, 1:00 p.m.-3:50 p.m.
Workshop Algebraic Dynamics at University of California Berkeley
Organized by: Thomas Scanlon, University of California Berkeley, Thomas Tucker, University of Rochester and Joseph Silverman, Brown University
WORKSHOP in ORSAY (France)
"Model Theory of difference fields and applications"
Workshop on Non-uniformly Hyperbolic and Neutral One-dimensional Dynamics
National University of Singapore, Singapore
Complex and Arithmetic Dynamics - Seminars
This page will show upcoming seminars that will be scheduled by organizers, speakers, and participants of the Spring 2012 semester program Complex and Arithmetic Dynamics. Walk-ins are welcomed and encouraged for these seminars. Please check back regularly for updates.
We provide an iCal link for those attendees who wish to sync their own devices and/or calendars to our schedule.
Monday | March 12, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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2:30 - 3:30 | Fields with several automorphisms | Alice Medvedev, UC Berkeley | 11th Floor Lecture Hall | | |
3:30 - 4:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
4:00 - 5:00 | The dynamics of birational maps over finite fields and their signatures | John A. G. Roberts, The University of New South Wales, Sydney, Australia | 11th Floor Lecture Hall | | |
Tuesday | March 13, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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10:30 - 11:50 | Postcritically Finite Rational Maps and their Deformations | Jeremy Kahn, Brown University | 11th Floor Lecture Hall | | |
3:30 - 4:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
4:00 - 5:00 | Professional Development: Ethics in research I | | 11th Floor Lecture Hall | | |
Wednesday | March 14, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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3:14 - 4:00 | Coffee/Tea Break and Pi Day Treats! | | 11th Floor Collaborative Space | | |
4:00 - 5:00 | Postdoc/Grad Student Seminar | | 11th Floor Lecture Hall | | |
Thursday | March 15, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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10:30 - 11:50 | Postcritically Finite Rational Maps and their Deformations | Jeremy Kahn, Brown University | 11th Floor Lecture Hall | | |
1:30 - 2:30 | Introduction to Height Functions | Yu Yasufuku, Nihon University | 11th Floor Lecture Hall | | |
2:30 - 3:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
3:00 - 4:00 | Model-theoretic properties for algebraic dynamics, via ACFA | Alice Medvedev, UC Berkeley | 11th Floor Lecture Hall | | |
Friday | March 16, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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11:00 - 12:00 | Computational Working Group/Seminar | | 11th Floor Lecture Hall | | |
2:30 - 3:30 | Equidistribution of small points on $\mathbb{P}^1$ | Juan Rivera-Letelier, Pontificia Universidad Catolica de Chile | 11th Floor Lecture Hall | | |
3:30 - 4:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
Monday | March 19, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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8:30 - 8:55 | Registration & Welcome Coffee | | 11th Floor Collaborative Space | | |
8:55 - 9:00 | Welcome | Jill Pipher, Director, ICERM | 11th Floor Lecture Hall | | |
9:00 - 9:50 | The Morton-Silverman conjecture, and extending self-maps to projective space | Bjorn Poonen, MIT | 11th Floor Lecture Hall | | |
9:55 - 10:20 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
10:20 - 11:00 | Exceptional linear subvarieties for the d^th power map | Bianca Viray, Brown University | 11th Floor Lecture Hall | | |
11:05 - 11:55 | A generalization of the Nagell-Lutz theorem | Aaron Levin, Michigan State University | 11th Floor Lecture Hall | | |
12:00 - 1:45 | Break for Lunch and Free Time | | | | |
1:45 - 2:35 | Equidistribution and the Dynamical Uniform Boundedness Conjecture | Rob Benedetto, Amherst College | 11th Floor Lecture Hall | | |
2:40 - 3:30 | A Uniform Boundedness Theorem for Polynomials | Michael Zieve, University of Michigan | 11th Floor Lecture Hall | | |
3:35 - 4:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
4:00 - 5:00 | Critically finite endomorphisms of projective space | Sarah Koch, Harvard University | 11th Floor Lecture Hall | | |
Tuesday | March 20, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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9:00 - 9:50 | Adelic intersection problems in arithmetic geometry and dynamics | Felipe Voloch, University of Texas at Austin | 11th Floor Lecture Hall | | |
9:55 - 10:20 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
10:20 - 11:00 | Simple and Critically Good Reduction For Endomorphisms of P1 | Jung Kyu Canci, University of Basel | 11th Floor Lecture Hall | | |
11:05 - 11:55 | Using Sage for Mathematical Research | William Stein, University of Washington | 11th Floor Lecture Hall | | |
11:55 - 12:00 | Group Photo | | 11th Floor Lecture Hall | | |
12:00 - 1:45 | Break for Lunch & Free Time | | | | |
1:45 - 5:00 | Problem Session and Collaborative Work/Coffee & Tea Break | | 11th Floor Collaborative Space | | |
7:00 - 10:00 | Hackathon | | 10th Floor Collaborative Space | | |
Wednesday | March 21, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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9:00 - 9:50 | Dynamical exponential and transcendence | Shou-Wu Zhang, Princeton University | 11th Floor Lecture Hall | | |
9:55 - 10:20 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
10:20 - 11:00 | Good reduction and computational applications | Benjamin Hutz, CUNY Graduate Center | 11th Floor Lecture Hall | | |
11:05 - 11:55 | Iteration of algebraic points under a rational self-map | Ekaterina Amerik, Higher School of Economics (Moscow) and Universite Paris-Sud (Orsay) | 11th Floor Lecture Hall | | |
12:00 - 1:45 | Break for Lunch & Free Time | | | | |
1:45 - 5:00 | Progress Reports and Collaborative Work/Coffee & Tea Break | | 11th Floor Collaborative Space | | |
7:00 - 9:00 | Poster Session and Dessert Reception | | 11th Floor Lecture Hall | | |
Thursday | March 22, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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9:00 - 9:50 | TBA | Tom Scanlon, University of California, Berkeley | 11th Floor Lecture Hall | | |
9:55 - 10:20 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
10:20 - 11:10 | Algebraic Dynamics Difference Fields and Model Theory | Zoe Chatzidakis, Université de Paris VII (Denis Diderot) | 11th Floor Lecture Hall | | |
11:15 - 11:55 | A property of integral division points on curves and its dynamical system analogue | Su-Ion Ih, University of Colorado | 11th Floor Lecture Hall | | |
11:55 - 12:00 | Survey Distribution, please return to 11th floor reception desk | | | | |
12:00 - 1:45 | Break for Lunch & Free Time | | | | |
1:45 - 2:35 | On the (failure of) equidistribution of periodic points | Juan Rivera-Letelier, Pontificia Universidad Catolica de Chile | 11th Floor Lecture Hall | | |
2:35 - 5:00 | Progress Reports and Collaborative Work/Coffee & Tea Break | | 11th Floor Collaborative Space | | |
7:00 - 10:00 | Hackathon | | 10th Floor Collaborative Space | | |
Friday | March 23, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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9:00 - 10:20 | Morning of Collaborations and Coffee/Tea Break | | 11th Floor Collaborative Space | | |
10:20 - 11:10 | Special orbifolds: arithmetic and hyperbolic aspects | Frederic Campana, Université de Nancy I (Henri Poincaré) | 11th Floor Lecture Hall | | |
11:15 - 12:05 | Which bilinear recurrences give theta sequences | Noam Elkies, Harvard University | 11th Floor Lecture Hall | | |
12:10 - 2:00 | Break for Lunch & Free Time | | | | |
2:00 - 3:00 | Wrap up Problem Session and Progress Reports | | 11th Floor Lecture Hall | | |
Monday | March 26, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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2:30 - 3:30 | On zeta functions associated to dynamics over a $p$-adic field | Liang-Chung Hsia, National Taiwan Normal University | 11th Floor Lecture Hall | | |
3:30 - 4:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
Tuesday | March 27, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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10:30 - 11:50 | Postcritically Finite Rational Maps and their Deformations | Jeremy Kahn, Brown University | 11th Floor Lecture Hall | | |
2:30 - 3:30 | Canonical heights on genus 3 jacobians | Michael Stoll, University of Bayreuth | 11th Floor Lecture Hall | | |
3:30 - 4:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
Wednesday | March 28, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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3:30 - 4:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
4:00 - 5:00 | Postdoc/Grad Student Seminar | | 11th Floor Lecture Hall | | |
Thursday | March 29, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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10:30 - 11:50 | Postcritically Finite Rational Maps and their Deformations | Jeremy Kahn, Brown University | 11th Floor Lecture Hall | | |
2:00 - 3:30 | Dynamical Modular Curves and Moduli Spaces (from an algebraic perspective)-Part 1 | Michelle Manes, University of Hawaii | 11th Floor Lecture Hall | | |
3:30 - 4:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
Friday | March 30, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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2:30 - 3:30 | Computational Working Group/Seminar | | 11th Floor Lecture Hall | | |
3:30 - 4:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
Monday | April 2, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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2:30 - 3:30 | Origamis- Questions and (some) results | Jean-Christophe Yoccoz, College de France | 11th Floor Lecture Hall | | |
3:30 - 4:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
4:00 - 5:00 | Mating the basilica polynomial with itself | Sarah Koch, Harvard University | 11th Floor Lecture Hall | | |
Tuesday | April 3, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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10:30 - 11:50 | Postcritically Finite Rational Maps and their Deformations | Jeremy Kahn, Brown University | 11th Floor Lecture Hall | | |
2:00 - 3:30 | Dynamical Modular Curves and Moduli Spaces (from an algebraic perspective)-Part 2 | Michelle Manes, University of Hawaii | 11th Floor Lecture Hall | | |
3:30 - 4:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
4:00 - 5:00 | Professional Development: Ethics in Research II | | 11th Floor Lecture Hall | | |
Wednesday | April 4, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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3:30 - 4:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
4:00 - 5:00 | Postdoc/Grad Student Seminar | | 11th Floor Lecture Hall | | |
Thursday | April 5, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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10:30 - 11:50 | Postcritically Finite Rational Maps and their Deformations | Jeremy Kahn, Brown University | 11th Floor Lecture Hall | | |
2:00 - 3:30 | Dynamical Moduli Spaces of Rational Maps | Joseph H. Silverman, Brown University | 11th Floor Lecture Hall | | |
3:30 - 4:00 | Coffee/Tea Break | | | | |
4:00 - 5:00 | Special Colloquium-Spheres | John Milnor, Stony Brook University | 11th Floor Lecture Hall | | |
5:00 - 6:00 | John Milnor "Spheres" Reception | | 11th Floor Collaborative Space | | |
Friday | April 6, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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2:30 - 3:30 | Computational Working Group/Seminar | | 11th Floor Lecture Hall | | |
3:30 - 4:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
Monday | April 9, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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2:30 - 2:45 | Primitive prime divisors in the critical orbit of z^d + c | Holly Krieger, University of Illinois at Chicago | 11th Floor Lecture Hall | | |
2:50 - 3:05 | Rational functions with identical measures of maximal entropy | Hexi Ye, University of Illinois at Chicago | 11th Floor Lecture Hall | | |
3:10 - 3:30 | Distinguished line bundles for projective surface automorphisms | Paul Reschke, University of Illinois at Chicago | 11th Floor Lecture Hall | | |
3:30 - 4:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
Tuesday | April 10, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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10:30 - 11:50 | Postcritically Finite Rational Maps and their Deformations | Jeremy Kahn, Brown University | 11th Floor Lecture Hall | | |
2:00 - 3:30 | Dynamical Moduli Spaces of Rational Maps | Joseph H. Silverman, Brown University | 11th Floor Lecture Hall | | |
3:30 - 4:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
4:00 - 5:00 | Professional Development: Papers and journals | | 11th Floor Collaborative Space | | |
Wednesday | April 11, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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3:30 - 4:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
4:00 - 5:00 | Postdoc/Grad Student Seminar | | 11th Floor Lecture Hall | | |
Thursday | April 12, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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10:30 - 11:50 | Postcritically Finite Rational Maps and their Deformations | Jeremy Kahn, Brown University | 11th Floor Lecture Hall | | |
1:30 - 2:30 | Applications and Examples of using a new program `Dynamics Explorer' to study the dynamics of complex mappings | Suzanne Boyd, University of Wisconsin and Brian Boyd | 11th Floor Lecture Hall | | |
2:30 - 2:45 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
2:45 - 3:45 | Applications and Examples of using a new program `Dynamics Explorer' to study the dynamics of complex mappings | Suzanne Boyd, University of Wisconsin and Brian Boyd | 11th Floor Lecture Hall | | |
4:00 - 4:30 | Sir John Ball "Smooth topology-preserving approximations of rough domains" Reception | | 11th Floor Collaborative Space | | |
4:30 - 5:30 | Special Colloquium-Smooth topology-preserving approximations of rough domains | Sir John Ball, University of Oxford | 11th Floor Lecture Hall | | |
Friday | April 13, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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10:00 - 11:00 | Moduli spaces: drawing pictures and doing computations I | Sarah Koch, Harvard University and Xavier Buff, Université de Toulouse III (Paul Sabatier) | 11th Floor Lecture Hall | | |
11:30 - 12:30 | Moduli spaces: drawing pictures and doing computations II | Sarah Koch, Harvard University and Xavier Buff, Université de Toulouse III (Paul Sabatier) | 11th Floor Lecture Hall | | |
2:30 - 3:30 | Computational Working Group | | 11th Floor Lecture Hall | | |
3:30 - 4:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
Monday | April 16, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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8:30 - 9:20 | Registration & Welcome Coffee | | | | |
9:20 - 9:30 | Welcome | Jeff Brock, Deputy Director, ICERM | 11th Floor Lecture Hall | | |
9:30 - 10:20 | Ramification avoidance and a dynamical Mordell-Lang conjecture | Tom Tucker, University of Rochester | 11th Floor Lecture Hall | | |
10:30 - 11:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
11:00 - 11:50 | Bers, Brown and Lyapunov | Romain Dujardin, Ecole Polytechnique | 11th Floor Lecture Hall | | |
12:00 - 2:30 | Break for Lunch | | | | |
2:30 - 3:20 | Measure-theoretic rigidity for Mumford curves | Janne Kool, Universiteit Utrecht | 11th Floor Lecture Hall | | |
3:30 - 4:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
4:00 - 4:50 | Admissible Covers and Rescaling Limits (after Matthieu Arfeux) | Xavier Buff, Universite de Toulouse III (Paul Sabatier) | 11th Floor Lecture Hall | | |
5:00 - 6:30 | Welcome Reception | | 11th Floor Collaborative Space | | |
Tuesday | April 17, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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9:30 - 10:20 | Variations on a Theme-Fields of Definition, Fields of Moduli, Automorphisms, and Twists | Michelle Manes, University of Hawaii | 11th Floor Lecture Hall | | |
10:30 - 11:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
11:00 - 11:50 | Arithmetic Properties of Dominant Self-Maps of P^N | Joseph H. Silverman, Brown University | 11th Floor Lecture Hall | | |
12:00 - 2:30 | Break for Lunch | | | | |
2:30 - 3:20 | Puiseux series dynamics and leading monomials of escape regions | Jan Kiwi, Pontificia Universidad Catolica de Chile | 11th Floor Lecture Hall | | |
3:30 - 4:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
4:00 - 4:50 | Antipode Preserving Cubic Rational Maps | Araceli Bonifant, University of Rhode Island | 11th Floor Lecture Hall | | |
Wednesday | April 18, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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10:00 - 10:50 | On Mordell-Lang in algebraic groups of unipotent rank 1 | Paul Vojta, University of California, Berkeley | 11th Floor Lecture Hall | | |
11:00 - 11:30 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
11:30 - 12:20 | Limits of polynomial-like quadratic rational maps | Eva Uhre, Stony Brook University | 11th Floor Lecture Hall | | |
12:30 - 12:40 | Group Photo | | 11th Floor Lecture Hall | | |
12:40 - 7:00 | Free afternoon for collaborations | | | | |
7:00 - 9:00 | Poster Session and Dessert Reception | | 11th Floor Lecture Hall and Collaborative Space | | |
Thursday | April 19, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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9:30 - 10:20 | A proof of Pilgrim's conjecture | Nikita Selinger, Jacobs University | 11th Floor Lecture Hall | | |
10:30 - 11:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
11:00 - 11:50 | The Space of Morphisms on a Projective Variety- Construction and Applications | Alon Levy, ICERM | 11th Floor Lecture Hall | | |
12:00 - 2:30 | Break for Lunch | | | | |
2:30 - 3:20 | Mating Discontinuity | Adam Epstein, University of Warwick | 11th Floor Lecture Hall | | |
3:30 - 3:35 | Survey Distribution | | 11th Floor Lecture Hall | | |
3:35 - 4:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
4:00 - 4:50 | Discussions and Collaborations | | 11th Floor Collaborative Space | | |
Friday | April 20, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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9:30 - 10:20 | Quadratic Rational Maps- the Totally Marked Moduli Space | John Milnor, Stony Brook University | 11th Floor Lecture Hall | | |
10:30 - 11:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
11:00 - 11:50 | Rational maps with prescribed critical values | Tan Lei, University d'Angers | 11th Floor Lecture Hall | | |
12:00 - 2:30 | Break for Lunch | | | | |
2:30 - 3:20 | Resultant and conductor for self maps of the projective line | Lucien Szpiro, City University of New York (CUNY) | 11th Floor Lecture Hall | | |
3:30 - 4:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
4:00 - 4:50 | Parabolic blowups and limits of dynamical systems | John Hubbard, Cornell University | 11th Floor Lecture Hall | | |
Monday | April 23, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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2:30 - 3:30 | An Overview of Arithmetic Potential Theory | Robert Rumely, University of Georgia | 11th Floor Lecture Hall | | |
3:30 - 4:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
Tuesday | April 24, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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10:30 - 11:50 | Postcritically Finite Rational Maps and their Deformations | Jeremy Kahn, Brown University | 11th Floor Lecture Hall | | |
2:30 - 3:30 | Galois groups of dynamically defined polynomials and the structure of the Mandelbrot set | Dierk Schleicher, Jacobs University | 11th Floor Lecture Hall | | |
3:30 - 4:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
4:00 - 5:00 | Professional Development: Grant proposals | | 11th Floor Lecture Hall | | |
Wednesday | April 25, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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3:30 - 4:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
4:00 - 5:00 | Postdoc/Grad Student Seminar | | 11th Floor Lecture Hall | | |
Thursday | April 26, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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10:30 - 11:50 | Postcritically Finite Rational Maps and their Deformations | Jeremy Kahn, Brown University | 11th Floor Lecture Hall | | |
3:30 - 4:00 | Coffee/Tea Break | | 11th Floor Collaborative Space | | |
4:00 - 5:00 | Existence of primitive divisors, and the dynamical Brauer-Manin problem for etale morphisms | Khoa Nguyen, University of California, Berkeley | 11th Floor Lecture Hall | | |
Friday | April 27, 2012 | | | | |
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Time | Description | Speaker | Location | Abstracts | Slides |
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2:30 - 3:30 | Computational Working Group/Seminar | | 11th Floor Lecture Hall | | |
3:30 - 4:00 | Coffee/Tea Break | | | | |
WEEKLY SEMINARS/COURSES (during non-workshop weeks)
- Tea is 3:30-4:00 Mon-Fri.
- MONDAY
2:30-3:30 and 4:00-5:00 Research seminars
(organizational meeting Feb 6)
- TUESDAY
10:30-11:50 Jeremy Kahn's course
2:00- 3:30 Mini-course (see mini-courses)
4:00- 5:00 Professional development seminar
(for grad students and postdocs)
- WEDNESDAY
4:00-5:00 Postdoc/Grad Student Seminar
(organizational meeting Feb 1)
- THURSDAY
10:30-11:50 Jeremy Kahn's course
2:00- 3:30 Mini-course (see mini-courses)
4:00- 5:00 Additional research seminar (occasional)
- FRIDAY
2:30-3:30 Computational working group (off weeks)
*Computational working groups take place from 11:00 - 12:00 during tutorial weeks
WORKSHOPS AND SPECIAL EVENTS
- Opening Event: Mon 1/30 - Weds 2/1
- Tutorial #1: Thurs 2/9 and Fri 2/10 (2:30-5:00)
- Workshop #1: Mon 2/13 - Fri 2/19
Complex and p-adic Dynamics
- Tutorial #2: Thurs 3/15 and Fri 3/16 (2:30-5:00)
- Workshop #2: Mon 3/19 - Fri 3/23
Global Arithmetic Dynamics
- Tutorial #3: Thurs 4/12 and Fri 4/13 (2:30-5:00)
- Workshop #3: Mon 4/16 - Fri 4/20
Moduli Spaces Associated to Dynamical Systems
- Closing Event: Tu 5/1 - Th 5/3 (schedule TBA)
MINI-COURSES - Tues/Thurs 2:00-3:30pm during non-workshop weeks
- Rafe Jones: Irreducibility and Galois Properties of Iterated Maps
Tu 2/21, Th 2/23, Tu 2/28
- Paul Vojta: Th 3/1, Tu 3/6, Th 3/8, Tu 3/13
- Michelle Manes and Joe Silverman: Th 3/29, Tu 4/3, Th 4/5, Tu 4/10
Spring 2012 Semester Workshops
Dates | Title | Organizers |
February 13-17, 2012 | Complex and p-adic Dynamics |
Matthew Baker, Rob Benedetto, Charles Favre, Kevin Pilgrim, Juan Rivera-Letelier (Chair) |
March 19-23, 2012 | Global Arithmetic Dynamics |
Xander Faber, Michelle Manes, Lucien Szpiro, Thomas Tucker, Michael Zieve (Chair) |
April 16-20, 2012 | Moduli Spaces Associated to Dynamical Systems |
Laura DeMarco, Adam Epstein, Sarah Koch, Curtis McMullen, Joseph Silverman |