The Web of Modularity An NSF-CBMS Conference June 3-7, 2003 Department of Mathematics University of Illinois at Urbana-Champaign

• Schedule of talks   (May be revised or updated.) All talks will be held in room 314 of Altgeld Hall.
• Participants   (As of June 3.)
• Information on transportation from airport   
• Campus map    The Hendrick House is on Green St. at location 7P. The Illini Union is at location N1. Altgeld Hall is at location A14.
• Preliminary information for arriving participants. More complete information will be distributed at the conference registration.
• Important information on reimbursement for those receiving financial support

Principal Lecturer:

• Ken Ono (University of Wisconsin)

Invited Lecturers:

• Jan Bruinier (Cologne)
• YoungJu Choie (Postech)
• Masanobu Kaneko (Kyushu)
• Winfried Kohnen (Heidelberg)
• Ram Murty (Queen's)

Registration

• Registration fee (to cover coffee breaks, opening reception, etc.): $35 after April 15. Please make check payable to University of Illinois, with CBMS as memo, and mail to: Scott Ahlgren, Department of Mathematics, University of Illinois, 1409 W. Green Street, Urbana, IL 61801, USA.

  Foreign participants: you may pay $30 cash at the time of the conference.

Travel

Informal Banquet

Opening Reception

Accommodations

• The primary facility for accommodations is the Hendrick House. This is a private guest house with inexpensive rooms, about a five minute walk from the conference site. There are two buildings: East and West. Please call early to reserve the type of room of your choice.
  

  The West Building is somewhat more modern. Prices: Single rooms: $25 per night. Double rooms: $20 per night per person.

  Prices for East Building: Single rooms: $21 per night. Double rooms: $17 per night per person.

  Parking is $3 per day. Bathrooms in both buildings are semi-private (there is one bathroom for every two rooms).

  Hendrick House
  904 W. Green St.
  Urbana, IL 61801
  217-365-8000 phone
  217-384-4701 fax
  office@hendrickhouse.com

• The Illini Union Guest Rooms are a more upscale (and more expensive) choice. The union is next to the conference site. Rates run between $68 and $84 per night for single/double rooms, with parking included.
  Illini Union
  1401 W. Green St.
  Urbana, IL 61801
  217-333-1241 phone
  iureservations@uiuc.edu

• A small number of rooms may also be available at the Hampton Inn (about a ten minute walk to the conference site). The rate is $60 single/$65 double with parking included.
  Hampton Inn
  1200 W. University Ave
  Urbana, IL 61801
  Phone: (217) 337-1100
  Fax: (217) 337-1143
  CMIIL_Hampton@hilton.com
  

• For other possibilities in the area, see the Visitor's guide.

Financial Support

Goals of the Conference

• To present an organized and motivated description of the important and diverse role which modular forms play in Number Theory and other areas of mathematics.
• To provide young mathematicians and newcomers to the field with an accessible account of important techniques, theorems, and open problems at the forefront of this area of research.
• To provide mathematicians working in areas related to the themes of the conference with an account of some areas of investigation in which their existing knowledge may prove invaluable.
• To provide established researchers an opportunity to share their expertise and to interact with each other and with younger mathematicians.
• To plan a scientific program which will lead to a published monograph of lasting importance to the wider mathematical community.

Some of the topics to be considered.

• Introduction to Modular Forms.
• Arithmetic and Algebraic Interpretations of Coefficients of Modular Forms.
• Representation Theory of Finite Groups.
• Partition Theory.
• Gaussian Hypergeometric Series.
• Infinite Product Expansions of Modular Forms.
• Hypergeometric Series and Values of L-functions.
• Nonvanishing Theorems for Modular L-functions and Ranks of Elliptic Curves.
• Shafarevich-Tate Groups, Class groups of Quadratic fields, and Visibility.

The Organizers:

Transportation, Parking and Maps

Shuttle service from Chicago O'Hare and Chicago Midway airports (about 130 miles) and from the Indianapolis airport (about 110 miles) is available through Lincolnland Express for approximately $100 round trip. There are very good discounts for those traveling in groups of two or more.

You can also obtain shuttle service from BlueBird Charters.

Trains: Amtrak has daily service to Champaign from the north (Chicago) and from the south (New Orleans). From the station (the "Illinois Terminal"), catch almost any eastbound or southbound city bus ($1) or take a cab the 1 mile to the Illini Union.
Automobiles: Champaign-Urbana is at the intersection of I-72, I-74 and I-57.
Maps of campus and the area, including Altgeld Hall and the Illini Union.

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Department of Mathematics University of Illinois at Urbana-Champaign 273 Altgeld Hall, MC-382 1409 W. Green Street, Urbana, IL 61801 USA Telephone: (217) 333-3350    Fax (217) 333-9576 office@math.uiuc.edu