Subconvexity bounds for L-functions
October 16 to October 20, 2006
American Institute of Mathematics,
Palo Alto, California
and Akshay Venkatesh
This workshop will be devoted to
subconvexity bounds for L-functions. In recent years, there has
been substantial progress towards the subconvexity problem for
GL(2) L-functions, beginning with the work of Duke, Friedlander,
and Iwaniec; more recently, ideas from representation theory and
dynamics have been brought to bear on the problem. Subconvexity
bounds for L-functions in higher rank (and, more generally, bounds
for periods) remain largely elusive. The aim of the workshop is
to consolidate the existing approaches and initiate analysis of
the higher rank subconvexity problem.
The main goals for the workshop are
- Understanding the present approaches to subconvexity and their
- Understanding the apparent "universality" of the Weyl exponent
1/6 and the Burgess exponent 3/16 (which seem to occur in many independent approaches)
- Paving the road towards subconvexity of higher rank
L-functions and understanding applications this would have.
Material from the workshop
A list of participants.
The workshop schedule.
A report on the workshop activities.
A list of open problems.