• Benasque09

BENASQUE 09: Workshop on Higher Rank L-functions: Theory and Computations

Centro de Ciencias de Benasque Pedro Pascual Benasque, Spain, July 19 - July 31, 2009

Main page

http://sophia.ecm.ub.es/2009numbers/

at the Centro in Benasque.

This Wiki page is for planning the various projects for the workshop.

Organizers

• Brian Conrey, AIM & Bristol

• Joan-Carles Lario, UPC Barcelona
• Fernando Rodriguez Villegas, University of Texas at Austin

Projects

• Siegel Modular Forms

• p-adic

• Analytic Algorithms

• Central Values

• Data

• Highest Lowest Zero

Projects

Rubinstein with Hiary: implemenent fft based algorithms (ala Booker) for L-functions combined with band limited interpolation.

Rishikesh: continue to wrap lcalc into sage.

Schedule

• Monday: Farmer (6pm)
• Tuesday: Ryan, Philip
• Wednesday: Fernando Rodriguez-Villegas, Wine+cheese+tapas
• Thursday: Mark, Mike

• 6 p.m., progress reports

Baby talks

• symmetric powers of L-functions, Mark Watkins
• p-adic L-functions
• p-adic methods
• Artin L-functions, Fernando
• Langlands L-functions GSp4, Nathan
• Siegel modular forms
• Algorithms for finding L-functions, David Farmer
• CY manifolds, Philip or Xenia
• function fields
• software:GP, Magma, SAGE, lcalc
• computing L-functions (inverse Mellin transforms), Mike

Higher rank L-functions

• genus g>1 curves

• Artin L-functions (galois representations, number fields)
• other groups: GL(n), GL(n), Sp(n), exceptional groups
• symmetric powers