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Sage Days 21: Function Fields

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

Location: The Shuey House, Seattle, WA

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.

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)
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

9:15am - 9:30am	Welcome
9:30am - 10:30am	Function Fields and Number Fields
10:30am - 11:30am	Introduction to Sage	C. Citro
11:30am - 1:30pm	Lunch
1:30pm - 2:30pm	Drinfeld Modular Forms
2:30pm - 3:30pm	Computing Drinfeld Modular Forms
3:30pm - 4:00pm	Tea
4:30pm - 5:30pm	Open slot (BSD? Computing E(K)?)
5:30pm - 6:00pm	Organizational meeting

Tuesday, May 25

Free day to work or organize talks.

Wednesday, May 26

11:00am - 12:00pm

Status reports

Shuey House

Thursday, May 27

Free day to work or organize talks.

Friday, May 28

11:00am - 12:00pm

Final status reports

Shuey House

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. The tentative housing arrangement is as follows:

The Shuey House

Second floor (layout)
- Master suite bedroom: C. Hall and S. Miller
- Bedroom 2: J. Balakrishnan
- Bedroom 3: G. Boeckle
- Bedroom 4: F. Hess
Third Floor (layout)
- Bedroom 1: S. Yazdani, R. Butenuth
- Bedroom 2: T. Occhipinti, H. Brown

Hotel Deca

B. Conrey
D. Ulmer
F. Voloch

Map

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

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+Mailing list: Group [[http://groups.google.com/group/sagedays21|page]].
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+ * Thomas Occhipinti (Arizona)
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- * Soroosh Yazdani (McMaster)
+ * Soroosh Yazdani (Mc-Master)
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- * Elliptic curves over function fields and their L-functions
+ * Elliptic curves over function fields and their $L$-functions
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-== Tentative Talks ==
+== (Tentative) Schedule ==
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- TBD
+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 ===
|| 9:15am - 9:30am || Welcome || ||
|| 9:30am - 10:30am || Function Fields and Number Fields || ||
|| 10:30am - 11:30am || Introduction to Sage || C. Citro ||
|| 11:30am - 1:30pm || Lunch || ||
|| 1:30pm - 2:30pm || Drinfeld Modular Forms || ||
|| 2:30pm - 3:30pm || Computing Drinfeld Modular Forms || ||
|| 3:30pm - 4:00pm || Tea || ||
|| 4:30pm - 5:30pm || Open slot (BSD? Computing $E(K)$?) || ||
|| 5:30pm - 6:00pm || Organizational meeting || ||

=== Tuesday, May 25 ===

Free day to work or organize talks.

=== Wednesday, May 26 ===
|| 11:00am - 12:00pm || Status reports || Shuey House ||

=== Thursday, May 27 ===

Free day to work or organize talks.

=== Friday, May 28 ===
|| 11:00am - 12:00pm || Final status reports || Shuey House ||

== Housing ==

A handful of visitors will be staying at the Shuey House, while the remaining visitors have rooms on hold for them at [[http://www.hoteldeca.com|Hotel Deca]]. The tentative housing arrangement is as follows:

=== The Shuey House ===

 * Second floor ([[http://www.shueyhouse.com/second%20floor.jpg]|layout]])
  * Master suite bedroom: C. Hall and S. Miller
  * Bedroom 2: J. Balakrishnan
  * Bedroom 3: G. Boeckle
  * Bedroom 4: F. Hess

 * Third Floor ([[http://www.shueyhouse.com/thirdfloor.jpg|layout]])
  * Bedroom 1: S. Yazdani, R. Butenuth
  * Bedroom 2: T. Occhipinti, H. Brown

=== Hotel Deca ===

 * B. Conrey
 * D. Ulmer
 * F. Voloch


== Map ==

Here's a Google [[http://maps.google.com/maps/ms?ie=UTF8&hl=en&msa=0&msid=103028083620229012626.00048318482c1f79ef823&ll=47.662107,-122.307487&spn=0.008946,0.015814&z=16|map]] with the major locations marked.

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