Didier Lesesvre

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Postdoctoral Fellow in Mathematics
Sun Yat-Sen University

lesesvre@math.cnrs.fr

Interests

Arithmetic statistics on automorphic forms deal with understanding the behavior of families of automorphic representations. Those are much better-behaved than isolated representations. The beginning of the story and the aims of arithmetical statistics is well described in this survey.

Publications

  • Low-lying zeros for Quaternion Algebras, in preparation
  • Counting and Equidistribution for Quaternion Algebras (arXiv)
  • Optimal transportation with an oscillation-type cost: the one-dimensional case (arXiv)

Notes

Here are some notes written as complements to some talks I gave:

  • Introduction to the Selberg Trace Formula (in french)
  • Local and global volumes and Tamagawa numbers (in french)
  • Families of L-functions and Type of Symmetry (in french)
  • Classical proof of the Jacquet-Langlands correspondence (in french)