Sage Days 36: p-adics in Sage

February 19-23, 2012, UC San Diego

This workshop will focus on p-adic numbers and associated structures in Sage. There will be a substantial emphasis on core structures (arithmetic, p-adic fields, extension fields, polynomials and power series, linear algebra) and in particular on fixing bugs in these. Other topics may include: p-adic special functions, p-adic L-functions, p-adic Hodge theory, p-adic cohomology and zeta functions, p-adic modular forms.

Note to participants: if you haven't already, please join the Google group sagedays36 for further announcements.

Schedule (still tentative!)

Workshop activities will be in the APM (Applied Physics and Mathematics) building, labeled 249 on this campus map. The main elevators are out of order, so follow the signs for the freight elevator (or take the stairs if you prefer). For the entirety of the workshop, we have reserved one large classroom (APM 6402) and one smaller classroom (APM 6218); during talks in one room, the other room will be available for undisturbed coding.

The UCSD-GUEST wireless network is available throughout campus; you will have to register once per day. You can also use the eduroam network if your home campus supports this.

Sunday

10:00-10:15

Kiran Kedlaya

APM 6402

Welcome and orientation

10:15-12:00

Sage newbies

APM 6402

Introduction to Sage for people new to Sage

10:15-12:00

Sage veterans

APM 6218

Coding sprint?

12:00-13:00

everyone

UCSD campus

Lunch

13:00-14:00

David Roe

APM 6402

The state of p-adics in Sage

14:00-15:30

everyone

APM 6402

Coding sprint organization

15:30-17:00

everyone

APM 6402/6218

Coding sprint

17:00-19:30

everyone

on or off campus

Dinner in small groups

19:30-27:00

nightowls

APM 6402/6218

Coding sprint

Monday

8:00-11:00

morning birds

APM 6402/6218

Coding sprint

11:00-12:00

Sebastian Pancratz

APM 6402

p-adics in FLINT

12:00-13:00

everyone

UCSD campus

Lunch

13:00-14:00

Sebastian Pauli

APM 6402 or 6218

Single factor lifting for polynomials over local fields

14:00-15:00

Joe Buhler

APM 6402 or 6218

Stable p-adic recursions

15:00-17:00

everyone

APM 6402/6218

Coding sprint

17:00-19:30

everyone

on or off campus

Dinner in small groups

19:30-27:00

nightowls

APM 6402/6218

Coding sprint

Tuesday

8:00-11:00

morning birds

APM 6402/6218

Coding sprint

11:00-12:00

William Stein

APM 6402 or 6218

Computing p-adic L-functions of elliptic curves

12:00-13:00

everyone

UCSD campus

Lunch

13:00-14:00

Matt Greenberg

APM 6402 or 6218

Definite quaternion algebras and triple product p-adic L-functions

14:00-15:00

John Voight

APM 6218

Number theory seminar: Arithmetic aspects of triangle groups

15:00-17:00

everyone

APM 6402/6218

Coding sprint

17:00-19:30

everyone

on or off campus

Dinner in small groups

19:30-27:00

nightowls

APM 6402/6218

Coding sprint

Wednesday

8:00-11:00

morning birds

APM 6402/6218

Coding sprint

11:00-12:00

Luis Finotti

APM 6402 or 6218

Computations with Witt Vectors

12:00-13:00

everyone

UCSD campus

Lunch

13:00-14:00

Xavier Caruso

APM 6402 or 6218

Explicit p-Adic Hodge Theory

14:00-16:30

everyone

APM 6402/6218

Coding sprint

16:30-17:30

Mirela Çiperiani

APM 6218

Number theory seminar: The divisibility of the Tate-Shafarevich group of an elliptic curve in the Weil-Chatelet group

17:30-20:00

everyone

Sea Rocket Bistro

Conference dinner

20:00-27:00

nightowls

APM 6402/6218

Coding sprint

Thursday

10:00-11:00

everyone

APM 6402

Wrapup

11:00-13:00

stragglers

UCSD campus

Lunch

13:00-16:00

stragglers

APM 6402

Low-key coding

16:00-17:00

Fernando Rodriguez-Villegas

APM 6402

Colloquium: Combinatorics and Geometry

18:00-20:00

stragglers

off campus (TBA)

Colloquium dinner

Sunday

10:00-17:00

stragglers

APM 6402

Southern California Number Theory Day

18:00-20:00

stragglers

Cozymels

Conference dinner

Organizers

Participants

The following participants are planning to attend.

Remote Participants

We're planning on having some mechanisms for people to participate remotely. Keep an eye on this space for details.

The following people are planning on participating remotely.

Projects

Watch this space for more about proposed projects for this Sage Days.

Housing and Transportation

Except for those who made other arrangements, everyone is staying at the Clarion Del Mar Inn. To get from San Diego Airport to the hotel, if possible, you should get a ride with someone renting a car. We have a google spreadsheet to coordinate arrivals; if you don't have permission to view it e-mail David or Kiran. Feel free to call Kiran from the airport for assistance. (Note that there are three terminals at SAN: the Commuter Terminal for all flights from LAX; Terminal 1 for United, Alaska, and Southwest; and Terminal 2 for other carriers. All rental cars are offsite, reached by shuttles.) Backup options (no prebooking required) include SuperShuttle (shared vans) or taxis (cheaper than SuperShuttle for 3 or 4 people).

We'll be commuting from the hotel to the math department in a fleet of rental cars. A backup option is the 101 bus (the "Breeze"), which has stops close to both the hotel and the math department but is not very fast or frequent (and stops running at 9:30 PM). The fare is \$1.75 each way (exact change required); maps and timetables are here. If all else fails, call Yellow Taxi at 619-444-4444; a taxi from the hotel to UCSD should run no more than \$30 for up to 4 people.

Parking enforcement at UCSD is quite strict. Avoid problems by parking as follows. (See the campus map for lot locations.)

Sustenance

There are many options for lunch within a short walk from APM. The closest ones (and their labels on the campus map):

For coffee on campus, we suggest the coffee kiosk just south of the Mandeville Center (285). Other options at slightly further distances include Goody's (see above) and Espresso Roma and Perks (both in the Price Center). In case you prefer juice to coffee, there is a Jamba Juice in the Price Center.

Off campus, most food options require a car. However, from the hotel, there are numerous restaurants within walking distance along Camino del Mar.

Financial support

This meeting is supported by the MIT NEC Fund and additional sources.