Moduli Spaces and the Arithmetic of Dynamical Systems
Bellairs Research Institute, Barbados
May 2-9, 2010



Principal Speaker: Joseph H. Silverman (Brown University)

Supplemental Speakers:
Laura DeMarco (University of Illinois at Chicago)
Adam Epstein (Warwick Mathematics Institute)
Michelle Manes (University of Hawaii)
Michael Tepper (Penn State Abington)

Head Organizer: Xander Faber (McGill University)
Co-organizer: Patrick Ingram (University of Waterloo)

                                                            Photo by Jayce Getz



The aim of the lectures is to provide a common background on how moduli spaces are useful and interesting in dynamical systems, particularly as they relate to arithmetic. Topics to be discussed include the moduli space of dynamical systems on projective space, varieties parameterizing dynamical systems along with extra structure (e.g., periodic points of fixed period), dynamical systems over function fields, and more. A number of current developments in the subject will be discussed, with the goal of stimulating new activity and collaboration. The Bellairs Institute provides a unique environment for scientific interaction, and ample time is set aside for informal discussions.

A series of lectures will be given by Joseph Silverman on this topic, supplemented by lectures from attending experts, for a total of 20 hours.
Participation is by invitation only.

Program Getting to Bellairs Coming Prepared
Participants The Facilities Topics and Background Reading
The Bellairs Research Institute Recreational Activities Bellairs Workshop 2009
Photos contributed by Xander Faber, Eyal Goren, Patrick Ingram, and Kalyani Madhu




Program
The daily schedule consists of a morning lecture by Silverman (2 hours) and an after-dinner lecture by a participating expert (2 hours). The program is designed to encourage new research initiatives by allowing enough free time for discussion and by having all of the participants in the same residence. The lecture titles below are provisional. Click here for a tentative list of topics to be discussed and a list of suggested background reading and references.

Day Morning Lecture 9:00 - 11:00 Evening Lecture 7:30-9:30
Sunday ----------- (Arrive at Bellairs) .
Monday Silverman: Introduction to moduli spaces associated to dynamical systems Laura DeMarco
Tuesday Silverman: Dynamical moduli spaces Adam Epstein
Wednesday Silverman: Dynamical modular curves Michelle Manes
Thursday Silverman: Applications and further topics Graduate Student Reports
Friday Silverman: Field of moduli and field of definition Michael Tepper
Saturday Open Discussion .
Sunday ----------- (Depart Bellairs) .


Participants
Name Affiliation Travel Info: Arrive / Depart
Arthur Baragar University of Nevada Las Vegas American: May 2nd, 1:20pm / May 9th, 7:05am
Anupam Bhatnagar City University of New York, Graduate Center JetBlue: May 2, 1:15pm / May 8, 2:15pm
Henri Darmon McGill University AirCanada: May 2, 1:55pm / May 9, 2:55pm
Laura DeMarco University of Illinois at Chicago American: May 2, 1:20pm / May 8, 2:30pm
Adam Epstein Warwick Mathematics Institute British Airways: May 2, 2:50pm / May 9, 9:00pm
Xander Faber McGill University AirCanada: May 2, 1:55pm / American: May 7, 2:55pm
Eyal Goren McGill University AirCanada: May 2, 1:55pm / May 9, 2:55pm
Liang-Chung Hsia National Central University (Taiwan) Trip Canceled
Benjamin Hutz Amherst College American: May 2, 10:00pm / May 8 7:00am
Patrick Ingram University of Waterloo AirCanada: May 2, 1:55pm / May 9, 2:55pm
Rafe Jones College of the Holy Cross American: May 2, 10:00pm / May 9, 2:55pm
Shu Kawaguchi Osaka University (Japan) AirCanada: May 2, 1:55pm / May 8, 2:55pm
Cristin Kenney University of Rochester .
Sarah Koch Harvard University American: May 2, 10:00pm / May 8, 2:55pm
Holly Krieger University of Illinois at Chicago American: May 2, 1:45pm / May 8, 2:30pm
Chong Gyu (Joey) Lee Brown University American: May 2, 10:00pm / May 9, 2:30pm
Alon Levy Columbia University American: May 2, 1:45pm / May 9, 2:55pm
Kalyani Madhu University of Rochester Jetblue: May 2, 1:37pm / May 9, 2:35pm
Michelle Manes University of Hawaii American: May 2, 1:20pm / May 9, 7:00am
Alice Medvedev University of Illinois at Chicago American: May 2nd, 10:00pm / May 9, 2:30pm
Bjorn Poonen MIT JetBlue: May 3, 1:37pm / May 9, 2:35pm
Joseph Silverman Brown University JetBlue: May 2, 1:37pm / American: May 8, 7:00am
Michael L. Tepper Penn State Abington American: May 2, 1:30pm / May 9, 2:30pm
Adam Towsley University of Rochester Arrive Early / JetBlue: May 9, 2:15pm
Phillip Williams City University of New York, Graduate Center JetBlue: May 2, 1:15pm / May 8, 2:15pm


The Bellairs Research Institute
The workshop will take place at the Bellairs Research Institute located in Holetown, St. James, Barbados. It is on the west coast of Barbados, roughly centered on the island.


View Larger Map

View Larger Map


Getting to Bellairs

The Facilities

Recreational Activites


Coming Prepared
Top