Atkin Memorial Lecture and Workshop
Noncongruence modular forms and Galois representations
University
of Illinois at Chicago

April 29 through May 1, 2011


A.O.L (Oliver) Atkin, a noted mathematician of international fame and professor emeritus at the University of Illinois at Chicago, died on December 23, 2008 at the age of 83. He made lasting contributions to the theory of numbers: the theory of modular forms (Atkin-Lehner operators, congruences, modular forms for non-congruences groups), theory of partitions, and cryptography (Schoof-Elkies-Atkin Algorithm), among others. He was also a pioneer of the use of computers in mathematics. He was born in England and worked at Bletchley Park in World War II. He completed his doctorate at Cambridge in 1952 under John Littlewood. He joined the faculty at the University of Illinois at Chicago in 1972. Atkin remained mathematically active until his death.

The annual Atkin Memorial Lecture is aimed at remembering Oliver Atkin's lasting contributions to mathematics and the University of Illinois. The previous speakers are Ken Ono (2009) and Steve Kudla (2010). This year Winnie Wen-ch'ing Li of Penn State will give the Atkin Lecture on Friday April 29, 2011 at 3 PM. The lecture will be followed by a two day workshop with the title of Noncongruence modular forms and Galois representations on April 30 and May 1. The focus will be on the interplay and connections between noncongruence modular forms, p-adic Hodge theory, Galois representations, and automorphic forms on higher dimensional reductive groups.

The first day (and the first talk on the second day) was devoted to talks by the invited speakers listed below. The second day is reserved for lectures by the younger participants. We will have some funding available for participants; scroll down for important details.


 

Invited Speakers

Matthew Emerton (Northwestern)
Toby Gee (Northwestern)
Jerome W. Hoffman (LSU)
Kiran Kedlaya (MIT and UCSD)
Winnie Wen-ch'ing Li (Penn State; Principal Speaker)
Ling Long (Iowa State)
Tong Liu (Purdue)


Funding

This workshop was funded by the National Science Foundation. Women, underrepresented minorities, and young mathematicians were strongly encouraged to apply.


Schedule

Some lectures have been recorded and are available. If you would like to request a specific lecture please write to rtakloo at math.uic.edu.

Friday, April 29th (Lecture Center E)

3:00 PM (Atkin Memorial Lecture)

Winnie Li

The arithmetic of modular forms for noncongruence subgroups (slides)

5:00 PM  

Wine and Cheese Reception

SEO 300

7:00 PM

Dinner at Parthenon Restaurant

If you plan to attend dinner, please write to rtakloo@math.uic.edu

 

Saturday, April 30 (Lecture Center E)

9 AM  

Matthew Emerton

An introduction to the Fontaine-Mazur Conjecture

10:15 AM

Kiran Kedlaya

Relative p-adic Hodge theory

11:30 AM

Toby Gee

Recent progress on the automorphy of Galois representations

2:30 PM

Ling Long

Unpublished computation data of Atkin on noncongruence forms and beyond

3:30 PM

Coffee Break

SEO 300

4:00 PM

Tong Liu

Automorphy of certain Galois representations of GO_4 type

 

Sunday, May 1 (Lecture Center E)

9:00 AM

Jerome W. Hoffman

Algebraic curves of GL(2)-type (slides)

10:15 AM  

Jennifer Balakrishnan

Computations with Coleman integrals (slides)

11:30 AM

Liang Xiao

Computing log-characteristic cycles using ramification theory

2:00 PM

Jonas Kibelbek

Congruences arising from noncongruence cusp forms

2:30 PM

Jitendra Bajpai

Weakly Holomorphic Vector Valued Modular Forms (slides)

3:00 PM

Abdelkrim El Basraoui

Rational Equivariant Forms (slides)

3:30 PM

Coffee

SEO 300

4:00 PM

Luanlei Zhao

Integral of Borcherds type (slides)

4:30 PM

Aaron Silberstein

Malcev's Theorem on Nilpotent Groups

 


Abstracts


Organizers: Winnie Li and Ramin Takloo-Bighash

All talks will be held in room 636 SEO on the UIC's main campus. A campus map is available here . UIC is easily accessible by public transportation (e.g. UIC-Halsted stop on the Blue Line). For detailed directions see link . A conveniently located hotel is the Crowne Plaza which is on the edge of Chicago's Greektown neighborhood with lots of restaurants and cafes. Another good hotel is the Marriott . This page has lots of useful information about visiting UIC and the city of Chicago. More information to follow.


Acknowledgements: Funding for this workshop is provided by UIC and the National Science Foundation.