April 25, 2014

July 6-9, 2011
Conference on Transcendence and L-functions
Fields Institute
to be held at the Fields Institute, Toronto (map)

Organizers: M. Ram Murty (Queen’s) and V. Kumar Murty (Toronto)

Special values of L-functions and their transcendental nature is an area of current interest in number theory. Often, these values can be decomposed into an algebraic part and a transcendental part, with the former being related to the size of some "natural group" and the latter being a "period" in the widest sense of the term. In the past, most of the focus has been on the algebraic part of the special values. This conference will focus on the transcendental part.

There are many conjectures (some arising from K-theory) as to what these transcendental values should be, especially in the context of Dedekind zeta functions. For example, there is the conjecture of Zagier, the conjectures of Chowla and Milnor on the linear independence of special values of Hurwitz zeta functions, and the celebrated conjectures of Stark on special values of Artin L-series at s=1.

This mini-conference will bring several experts and junior researchers together so that these topics can be exposed and explored in an informal setting.

Invited Speakers

R. Balasubramanian (IMSc)
Sanoli Gun (IMSc)
Manfred Kolster (McMaster)
V. Kumar Murty (Toronto)
M. Ram Murty (Queen’s)
A. Raghuram (Oklahoma)
Purusottam Rath (CMI)
Damien Roy (Ottawa)
Chris Smyth (Edinburgh)
Cameron Stewart (Waterloo)
Chester Weatherby (Delaware)
Michel Waldschmidt (Paris VI)


Wednesday, July 6
1:30-1:50 On-site Registration and Coffee
1:50-2:00 Welcome Remarks
2:00-3:00 M. Ram Murty (Queen’s)
Transcendence of Special Values of L-series
3:00-3:30 Coffee Break
3:30-4:30 Michel Waldschmidt (Paris VI)
Transcendence properties of Euler's Gamma and Beta functions
4:35-5:35 A. Raghuram (Oklahoma)
Special values of automorphic L-functions
5:45-7:00 Reception (Fields Atrium)
Thursday, July 7
9:30-10:00 Morning Coffee
10:00-11:00 Sanoli Gun (IMSc)
Non-vanishing of L(k,f) for k>1, irrationality and multiple zeta values
11:00-11:15 Coffee Break

Chester Weatherby (Delaware)
Transcendence of sums over the integers

12:15-2:00 Lunch Break
2:00-3:00 Damien Roy (Ottawa)
Algebraic independence and small value estimates
3:00-3:30 Coffee Break

Chris Smyth (Edinburgh)
Zeros of Ramunajan and related polynomials

Friday, July 8
9:30-10:00 Morning Coffee
10:00-11:00 Purusottam Rath (CMI)
Non-vanishing of L(1,f), the state-of-the-art
11:00-11:15 Coffee Break

V. Kumar Murty (Toronto)
Periods and Special values of Logarithmic derivatives of L-functions

12:15-2:00 Lunch Break
2:00-3:00 M. Mourtada (Toronto)
Growth of logarithmic derivatives of Dirichlet L-functions
3:00-3:30 Coffee Break
3:30-4:30 Manfred Kolster (McMaster)
Special values of Dedekind zeta-functions and motivic cohomology
Saturday, July 9
9:30-10:00 Morning Coffee
10:00-11:00 R. Balasubramanian (IMSc)
Catalan's conjecture in imaginary quadratic fiel
11:00-11:15 Coffee Break
11:15-12:15 Cameron Stewart (Waterloo)
Transcendence, linear forms in logarithms and applications

Final List of Participants:

Full Name University Name
Balasubramanian, Ramachandran The Institute of Mathematical Sciences
Burko, Robert University of Toronto
Cho, Jaehyun University of Toronto
Chow, Aaron University of Toronto
Chun, Tony  
Coons, Michael J. University of Waterloo
Eskandari, Payman University of Toronto
Felix, Adam Queen's University
Friedlander, John University of Toronto
George, William University of Toronto
Gun, Sanoli The Institute of Mathematical Sciences
Kolster, Manfred McMaster University
Laptyeva, Nataliya University of Toronto
Lee, Jungyun KIAS
Lim, Meng Fai University of Toronto
Milcak, Juraj University of Toronto
Mourtada, Mariam University of Toronto
Murty, Ram Queen's University
Murty, Vijaya Kumar University of Toronto
Nguyen, Ngoc Ai Van University of Ottawa
Pasten, Hector Queen's University
Pazuki, Fabien University Bordeaux 1
Raghuram, Anantharam Oklahoma State University
Rath, Purusottam Chennai Mathematical Institute
Roy, Damien University of Ottawa
Seaton, Joshua University of Toronto
Smyth, Chris University of Edinburgh
Stewart, Cameron University of Waterloo
Waldschmidt, Michel Université Paris VI
Weatherby, Chester University of Delaware
Xiao, Stanley University of Waterloo
Xu, Bin University of Toronto
Zaytseva, Anastasia Queen's University
Zhu, Yongchang Hong Kong University of Science and Technology


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