This is the homepage for the UIUC Number Theory Seminar.
We will meet in TBD.
Seminars from 2012-2022 are archived here.
January 27: Daniel Martin (Clemson University)
Title: TBA
Abstract: TBA
February 3: Dimitris Koukoulopoulos (Université de Montréal)
Title: TBA
Abstract: TBA
February 10:
Title: TBA
Abstract: TBA
February 17:
Title: TBA
Abstract: TBA
February 24: Sheng-Yang Kevin Ho (UC San Diego)
Title: Ogg's conjectures over function fields
Abstract: In the early 1970s, Andrew Ogg made several conjectures about the rational torsion points of elliptic curves over ℚ and the Jacobians of modular curves. These conjectures were proved shortly after by Barry Mazur as a consequence of his fundamental study of the arithmetic properties of modular curves and Hecke algebras. In this talk, we review the function field analogues of Ogg's conjectures, their current status, and the methods that have been applied to prove some of these conjectures. The methods are based on the ideas of Mazur and Ogg, but there are interesting differences and technical complications that arise in the function field setting, as well as intriguing possible new directions for generalizations. This is joint work with Cécile Armana and Mihran Papikian.
March 3:
Title: TBA
Abstract: TBA
March 10: Jeremy Rouse (Wake Forest University)
Title: TBA
Abstract: TBA
March 24:
Title: TBA
Abstract: TBA
March 31: Alexandra Florea (UC Irvine)
Title: TBA
Abstract: TBA
April 7:
Title: TBA
Abstract: TBA
April 14:
Title: TBA
Abstract: TBA
April 21:
Title: TBA
Abstract: TBA
April 28:
Title: TBA
Abstract: TBA
May 5:
Title: TBA
Abstract: TBA