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 |

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.