STACKSRTFPERIODS (291612)

  https://cordis.europa.eu/project/id/291612

  FP7 (2007-2013)

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

  ERC Advanced Grant - Mathematical foundations (ERC-AG-PE1)

  arithmetics

  2012-03-01 Start Date (YY-MM-DD)

  2017-08-31 End Date (YY-MM-DD)

  € 1,179,000 Total Cost

  Description

'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).'

  Complicit Organisations

2 Israeli organisations participate in STACKSRTFPERIODS.