This award will support the 27th annual Workshop on Automorphic Forms and Related Topics, to be held March 11--14, 2013, at University College Dublin in Dublin, Ireland. Funds will be used to defray travel costs of US-based attendees at the conference. The co-organizers are Scott Ahlgren (University of Illinois), Jeremy Lovejoy (CNRS, Paris 7), and Robert Osburn (University College Dublin). Additional information can be found on the workshop website: automorphicformsworkshop.org

Automorphic forms have played diverse and important roles in mathematics for centuries. Over the years, it has been found that automorphic forms are deeply entwined in number theory, representation theory, combinatorics, mathematical physics, Lie theory, geometry, and other areas. Some of the most spectacular scientific breakthroughs in the 20th and 21st century, such as Borcherds' proof of the moonshine conjecture, the resolution of Fermat's Last Theorem by Wiles, and the proof of the Fundamental Lemma by Chau, are automorphic in nature. So are many other celebrated conjectures, such as those of Langlands and Bloch-Kato, which remain open, and those of Serre and Sato-Tate, whose proofs have recently been published or announced. Important new types of automorphic forms are still being discovered, such as the harmonic Maass forms which lie behind Ramanujan's mock theta functions.

The AFW serves an important role in the community through its tradition of welcoming and mentoring junior researchers in the area. Many senior researchers have come through the workshop at some point in their career, and many gave one of their first conference talks at an AFW. The AFW has always had a welcoming reputation towards women and members of other underrepresented groups. Historically, a substantial percentage of participants have been women. The AFW attracts participants from around the world, from different career stages, and from different types of universities, and the workshop has led to many research collaborations and research papers. This will mark the first time that the AFW has been held outside of North America, which will provide junior US-based participants an excellent opportunity for exposure to the European and British research communities in automorphic forms.

Project Report

This grant supported the 27th annual Workshop on Automorphic Forms and Related Topics (AFW), held March 11--14, 2013, at University College Dublin in Dublin, Ireland. Automorphic forms have played diverse and important roles in mathematics for centuries. Over the years, it has been found that automorphic forms are deeply entwined in number theory, representation theory, combinatorics, mathematical physics, Lie theory, geometry, and other areas. The AFW attracts participants from around the world, from different career stages, and from different types of universities, and the AFW serves an important role in the community through its tradition of welcoming and mentoring junior researchers. The AFW featured 56 participants and 50 research talks over the four day period. In addition, the AFW featured two panel discussions on topics relevant to career development in academia. The grant was used to defray the travel costs of 20 US-based attendees at the conference. It was used to support junior researchers (graduate students, postdocs, and junior faculty). Their participation would not have been possible otherwise. This was the first AFW to be held outside of North America, which allowed junior US-based participants an excellent opportunity for exposure to the European and British research communities in automorphic forms.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
1303169
Program Officer
Tie Luo
Project Start
Project End
Budget Start
2013-01-01
Budget End
2013-12-31
Support Year
Fiscal Year
2013
Total Cost
$18,000
Indirect Cost
Name
University of Illinois Urbana-Champaign
Department
Type
DUNS #
City
Champaign
State
IL
Country
United States
Zip Code
61820