Centro de Ciencias de Benasque Pedro Pascual

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Workshop on higher rank L-functions: Theory and Computations

2009, Jul 19 -- Jul 31

Organizers:
B. Conrey (AIM & Bristol)
J. C. Lario (UPC Barcelona)
F. Rodríguez-Villegas (UT Austin)

The Workshop on higher rank L-functions: Theory and Computations will be held in Benasque, Huesca (Aragonese Pyrenees, Spain) on July 19th to 31st, 2009.

Benasque is a beautiful mountain village located 1140 m above sea level, in a valley in the heart of the Pyrenees, about 140 km north of the city of Zaragoza. The beautiful landscapes and the proximity to large ski resorts make Benasque one of the main tourist sites in the region. The subject of the workshop is: arithmetic L-functions with higher rank Euler factors. Its format will be one with very few talks and an emphasis on getting work done.

A specific goal of the workshop is to generate data to test specific questions. For example, their corresponding Riemann hypothesis (up to a reasonable height) and Artin conjecture. We would like to push the boundaries of computations with L-functions, which in the last decades has mostly concentrated on L-series Dirichlet L-series or those attached to modular forms for congruence subgroups of SL_2(Z), to L-functions whose Euler factors have degree at most two. It is by now well established that computations in Number Theory are of crucial importance in advancing the subject. However, it is fair to say that the computational and experimental aspects of higher rank L-functions remains largely unexplored. With bigger and faster machines, as well a vaster experience and larger number of researchers in the area, we are now in a better position than not long ago to pursue this effort.

Registration can be done through this website, not later than 15/Apr/08.

The program of the conference will be accessible in http://www.ma.utexas.edu/benasque09/

As the organization progresses we will outline specific projects to focus on during the workshop. Registration can be done through this website, not later than 15/Apr/08.

So far, this event has received financial support from the following institutions: National Science Foundation, Societat Catalana de Matemàtiques, Centro de Ciencias de Benaque Pedro Pascual.


Further Information.


This session has received financial support from the following institutions:

  • logo CSIC
  • Ministerio de educación y ciencia
  • Ayuntamiento de Benasque
  • Gobierno de Aragón
  • Universidad de Zaragoza
  • Fundación BBVA

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