Sage Days 21: Function Fields

Logistics

Organizers: William Stein, Chris Hall, Craig Citro, Salman Baig

Location: The Shuey House, 5218 16th Ave NE, Seattle, WA 98105

Dates: May 24 - 28, 2010 (check in on May 23rd after 4:00pm, check out on May 29th by 10:30am)

Mailing list: Group page.

Housing

A handful of visitors will be staying at the Shuey House, while the remaining visitors have rooms on hold for them at Hotel Deca (4507 Brooklyn Avenue NE, Seattle, WA 98105). The tentative housing arrangement is as follows:

The Shuey House

• Second floor (layout)

  • Master suite bedroom: S. Yazdani and S. Miller
  • Bedroom 2: J. Balakrishnan
  • Bedroom 3: C. Hall
  • Bedroom 4: F. Hess

• Third Floor (layout)

  • Bedroom 1: G. Moehlmann, R. Butenuth
  • Bedroom 2: T. Occhipinti, H. Brown

Hotel Deca

• G. Boeckle
• B. Conrey
• D. Ulmer
• F. Voloch

Getting to the Shuey House/Hotel Deca from Seattle-Tacoma

Here are some options to get to the Shuey House or Hotel Deca from the airport:

• A-ABC Transportation offers a flat rate ($30 typically, before tip) for door-to-door car service. I (Salman) have used them multiple times, and they are my preferred transportation to/from the airport if I'm traveling by myself. They are a private car service (though they don't have the nicest fleet of cars) and are less expensive than a cab. Call 206-242-0102 for a reservation.

• Taxis from the airport cost about $40 (before tip) and can be found by following the signs in the airport.

• Shuttle Express picks up passengers at the inner curb on the third floor of the Airport Garage. Call 425-981-7000 to make a reservation.

• There is a new light-rail service from the airport to downtown Seattle, but you will then need to take a taxi to the house/hotel (about 5 miles north of downtown). This is not a good option unless you want to spend time in downtown Seattle.

Getting Around

Both the Shuey House and Hotel Deca are close to the UW campus as well as plenty of restaurants, coffee shops, etc. You will find that you can walk to nearly anything you like from the house or hotel, so a car is probably unnecessary. If you do plan on renting a car, please let me (Salman) know, and I will provide you information on parking, getting to/from the hotel, etc.

Seattle also has a well-connected bus system, which can be used if you want to get out of the University District and explore the rest of the city. Talk to Craig or Salman if you have any questions about riding the buses.

Map

Here's a Google map with the major locations marked.

Tentative Participants

• Salman Baig (Washington)
• Jen Balakrishnan (MIT)
• Rob Beezer (Univ of Puget Sound)
• Gebhard Boeckle (Universitat Duisburg-Essen)
• Tom Boothby (Washington)
• Robert Bradshaw (Washington)
• M. L. Brown (Institut Fourier)
• Ralf Butenuth (Universitat Duisburg-Essen)
• Craig Citro (Washington)
• Brian Conrey (AIM)
• Alyson Deines (Washington)
• Chris Hall (Wyoming)
• Florian Hess (Technische Universitat Berlin)
• Jacob Lewis (Washington)
• Robert Miller (Washington)
• Steven J Miller (Williams)
• Gerriet Moehlmann (Technische Universitat Berlin)
• Thomas Occhipinti (Arizona)
• Dan Shumow (Washington)
• William Stein (Washington)
• Doug Ulmer (Georgia Tech)
• Felipe Voloch (Texas)
• Wenhan Wang (Washington)
• Soroosh Yazdani (Mc-Master)

Tentative Project List

• Elliptic curves over function fields and their L-functions

• Drinfeld modular forms
• The Birch and Swinnerton-Dyer Conjecture over function fields
• "Cremona's Tables" for function fields
• Computing Mordell-Weil groups
• Statistics over function fields

(Tentative) Schedule

We will have one full day of organized talks, followed by working sessions and status reports the rest of the week. Informal talks are also welcome and will be left to individuals and working groups to organize.

Monday, May 24

Tuesday, May 25

Free day to work or organize talks.

Wednesday, May 26

Thursday, May 27

Free day to work or organize talks.

Friday, May 28