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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:
Organizer: Xander Faber (McGill University) |
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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 | Institute Guidelines |
| The Bellairs Research Institute | Recreational Activities | Bellairs Workshop 2009 |
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.
| 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 | TBA |
| Tuesday | Silverman: Dynamical moduli spaces | TBA |
| Wednesday | Silverman: Dynamical modular curves | TBA |
| Thursday | Silverman: Field of moduli and field of definition | TBA |
| Friday | Silverman: Applications and further topics | TBA |
| Saturday | Open Discussion | . |
| Sunday | ----------- (Depart Bellairs) | . |
Participants (updated periodically)
| Name | Affiliation | Travel Info |
| Arthur Baragar | University of Nevada Las Vegas | . |
| Anupam Bhatnagar | City University of New York, Graduate Center | . |
| Henri Darmon | McGill University | . |
| Laura DeMarco | University of Illinois at Chicago | . |
| Adam Epstein | Warwick Mathematics Institute | . |
| Xander Faber | McGill University | . |
| Eyal Goren | McGill University | . |
| Liang-Chung Hsia | National Central University (Taiwan) | . |
| Benjamin Hutz | Amherst College | . |
| Su-Ion Ih | University of Colorado at Boulder | . |
| Patrick Ingram | University of Waterloo | . |
| Rafe Jones | College of the Holy Cross | . |
| Shu Kawaguchi | Osaka University (Japan) | . |
| Cristin Kenney | University of Rochester | . |
| Sarah Koch | Harvard University | . |
| Chong Gyu (Joey) Lee | Brown University | . |
| Alon Levy | Columbia University | . |
| Kalyani Madhu | University of Rochester | . |
| Michelle Manes | University of Hawaii | . |
| Alice Medvedev | University of Illinois at Chicago | . |
| Bjorn Poonen | MIT | . |
| Joseph Silverman | Brown University | . |
| Michael L. Tepper | Penn State Abington | . |
| Adam Towsley | University of Rochester | . |
| Phillip Williams | City University of New York, Graduate Center | . |
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.
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Getting to Bellairs
- barbados.org is a tourism site that has maps of Barbados, as well as much other information.
- The local airport is in Bridgetown, Barbados (code BGI).
- The easiest strategy to get from the airport to the institute is to take a taxi. I'll post the arrival information of other participants once we get closer to time. As there are relatively few flights into Barbados each day, you can meet up at the airport and share taxis to reduce the cost. Most taxi drivers will know how to find the Bellairs Research Institute; if not, tell them it is in St. James, north of Holetown. When you pass the St. James Parish and the Folkstone marine park, look for the Bellairs Research Institute on the left (sea side) of the road.
The Facilities
- The prices of rooms vary according to the posted rate on the Institute's web site. Note that we get the "Research Staff" rate. The Institute is quite small, so we will in all likelihood have double occupancy in some rooms. Single rooms will be given in order of seniority.
- There is a flat rate of $15US for use of internet for the whole week. There is wireless in the Institute and also a few terminals and a printer (not for heavy jobs!). Laptop is the easiest way to be connected and to call home (using Skype, say). There is a public phone at the institute.
- There is a modest sized blackboard, and there is a data projector (to use with a laptop).
- Breakfast at a cost of $7 will be served on Monday morning (it includes toast, cereal, fruit, tea, coffee, juice and something hot like pancakes, eggs or bacon). After that you can choose either to have breakfast at the institute for the rest of the week (at $7 / day), or not. One also has the option of buying groceries and preparing breakfast independently. (At past workshops, most people have taken their breakfast at the Institute.)
- Dinner at the Institute is mandatory and is charged separately at $25US. This is not the cheapest, but the local food is great, in generous portions, and it provides a nice social opportunity. For lunch everyone is on his/her own. Usually people get together and go to one of the restaurants in Holetown. At the Institute there is a kitchen where, if needed, you can store food and cook for yourself.
- The institute is well equipped for marine research. One can rent air tanks there very cheaply. It is an excellent place for scuba diving and swimming, but you should bring your own gear (good quality mask and snorkel can be purchased for a reasonable price at a local sport store).
Recreational Activites
(Coming soon!)
Coming Prepared
(Coming soon!)
Institute Guidelines
(Coming soon!)