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Stacks in Representation Theory, Relative Trace Formula and analysis of Automorphic Periods

Objective

"One of the central problems in number theory is to prove some
reasonably sharp bounds for values of $L$-functions and of
corresponding automorphic periods (they are usually called ""subconvexity
bounds""). In this project I propose to study two new tools
in representation theory of reductive groups over local fields
-- Densities on Stcks and Mirolocalization of representtions.

I am going to use these tools to obtain very strong subconvexity bounds
for periods of automorphic representations. This is an extension
of my recent work with A. Reznikov where we established these
bounds in some special case.

These tools will also have many other applications to problems
in Representation theory and the theory of automorphic forms
(e.g. Langlands' functoriality conjecture)."

Field of science

  • /natural sciences/mathematics/pure mathematics/arithmetic

Call for proposal

ERC-2011-ADG_20110209
See other projects for this call

Funding Scheme

ERC-AG - ERC Advanced Grant

Host institution

TEL AVIV UNIVERSITY
Address
Ramat Aviv
69978 Tel Aviv
Israel
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 894 000
Principal investigator
Joseph Bernstein (Prof.)
Administrative Contact
Lea Pais (Ms.)

Beneficiaries (2)

TEL AVIV UNIVERSITY
Israel
EU contribution
€ 894 000
Address
Ramat Aviv
69978 Tel Aviv
Activity type
Higher or Secondary Education Establishments
Principal investigator
Joseph Bernstein (Prof.)
Administrative Contact
Lea Pais (Ms.)
BAR ILAN UNIVERSITY
Israel
EU contribution
€ 285 000
Address
Bar Ilan University Campus
52900 Ramat Gan
Activity type
Higher or Secondary Education Establishments
Administrative Contact
Estelle Waise (Ms.)