Chaire Jean-Morlet
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CIRM - Jean-Morlet Chair

Holders: Peter STEVENHAGEN & Samuele ANNI

Arithmetic Statistics: Discovering and Proving Randomness in Number Theory

Statistiques arithmétiques:
 Découvrir et prouver le caractère aléatoire dans la théorie des nombres

2023 - semester 1
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RESEARCH IN PAIRS
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Dates: March-April 2023
Place: CIRM (Marseille Luminy, France)
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PRE REGISTRATIONS (Available Letters)
SCHEDULE & ABSTRACTS
INVITATION / VISA LETTER
PARTICIPANTS
PRACTICAL INFO

DESCRIPTION
Peter Stevenhagen and Francesco Campagna will be working on primes of cyclic reduction for elliptic curves. The chair will adress with Francesco Pappalardi and Nathan Jones the Galois representations that arise from elliptic «radicals» and are essential for the global­-local obstruction giving rise to «never primitive points». Both these topics are related, so these invitations should be linked.

Peter Stevenhagen and Hendrik Lenstra are also planning to study the extensions of the theory of Rédei symbols and Rédei reciprocity, which are a Jacobi symbol and a quadratic reciprocity law in the setting of dihedral extensions of degree 8. They play a key role in the work of Alexander Smith. ln this context, theta series naturally arise, so Samuele Anni, the co-chair, will also contribute.
SCIENTIFIC COMMITTEE
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ORGANIZING COMMITTEE
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SPEAKERS (To be updated)
  • Francesco Campagna (University of Copenhagen)
  • Nathan Jones (University of Illinois al Chicago)
  • Hendrik Lenstra (Leiden University)
  • Francesco Pappalardi (Università Roma Tre),
with possible other choices such as
  • Peter Koymans (MPIM)
  • Davide Lombardo (Università di Pisa).
  • Carlo Pagano (University of Glasgow)
  • Riccardo Pengo (ENS Lyon)
  • Sebastiano Tronto (Université du Luxembourg)

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