Universiteit Leiden

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Conference

Workshop on Algorithms in Number Theory and Arithmetic Geometry

Date
31 July 2017 - 4 August 2017
Address
Snellius Building
Niels Bohrweg 1
2333 CA Leiden
Room
Lorentz Center (second floor of the Snellius building)

Description

The theme of the workshop will be explicit and computational methods in number theory and arithmetic geometry in a broad sense. The format will include scientific talks as well as time for informal collaboration and for coding projects related to (for example) PARI/GP, SageMath or the L-Functions and Modular Forms Database.

Participants

  • Martin Bright (Universiteit Leiden)
  • Nils Bruin (Simon Fraser University)
  • Peter Bruin (Universiteit Leiden)
  • Henri Cohen (Université de Bordeaux)
  • Vincent Delecroix (LABRI, Bordeaux)
  • Lassina Dembélé (Max-Planck-Institut für Mathematik, Bonn)
  • Maarten Derickx (Universität Bayreuth)
  • Bas Edixhoven (Universiteit Leiden)
  • Dino Festi (Johannes-Gutenberg-Universität Mainz)
  • Tom Fisher (University of Cambridge)
  • Jean-Pierre Flori (ANSSI, Paris)
  • Stevan Gajovic (Universität Oldenburg)
  • Richard Griffon (Universiteit Leiden)
  • Florian Heß (Universität Oldenburg)
  • David Holmes (Universiteit Leiden)
  • Jinbi Jin (MPIM, Bonn)
  • Matthias Junge (Universität Oldenburg)
  • Kamal Khuri-Makdisi (American University of Beirut)
  • Pınar Kılıçer (Universität Oldenburg)
  • Michiel Kosters (University of California, Irvine)
  • Joey van Langen (VU Amsterdam)
  • Chloe Martindale (Technische Universiteit Eindhoven)
  • Marc Masdeu (Universitat Autònoma de Barcelona)
  • Marco Melles (Universität Oldenburg)
  • Hartmut Monien (Universität Bonn)
  • Jan Steffen Müller (Universität Oldenburg)
  • Filip Najman (University of Zagreb)
  • Bartosz Naskręcki (University of Bristol/Adam Mickiewicz University)
  • Christian Neurohr (Universität Oldenburg)
  • Aurel Page (University of Warwick)
  • Pavel Solomatin (Universiteit Leiden/Université de Bordeaux)
  • Anna Somoza (Universitat Politècnica de Catalunya/Universiteit Leiden)
  • Marco Streng (Universiteit Leiden)
  • Jeroen Sijsling (Universität Ulm)
  • Amadou Tall* (Université Cheikh-Anta-Diop, Dakar)
  • Jan Tuitman (KU Leuven)
  • Christian Wuthrich (University of Nottingham)

* to be confirmed

Programme

This is a provisional programme.

Monday 31 July    
9:20 Welcome and introduction  
9:30–10:30 Jan Steffen Müller Canonical heights on Jacobians of curves of genus two
11:00–12:00 Vincent Delecroix Volumes, intersection and combinatorics in $\overline{\mathcal{M}_{g,n}}$
13:00–16:00 Discussion/coding  
16:00–17:00 Tom Fisher Some algebras associated to genus one curves
Tuesday 1 August    
9:30–10:30 Jeroen Sijsling Computing endomorphisms of Jacobians
11:00–12:00 Jean-Pierre Flori Computing embeddings of finite fields
13:00–16:00 Discussion/coding  
16:00–17:00 Nils Bruin A tool for numerically computing period matrices of algebraic Riemann surfaces
Wednesday 2 August    
9:30–10:30 Lassina Dembélé On the compatibility between base change and Hecke action
11:00–12:00 Henri Cohen Classical Modular Forms in Pari/GP
12:10–13:30 Maarten Derickx A-gonalities of curves and the existence of infinitely many points of degree d
  Free afternoon  
Thursday 3 August    
9:30–10:30 Kamal Khuri-Makdisi Jacobian group operations for typical divisors on curves
11:00–12:00 Pavel Solomatin On Artin L-functions and Gassmann Equivalence for Global Function Fields
13:00–16:00 Discussion/coding  
16:00–17:00 Bartosz Naskręcki Hypergeometric motives of low degrees
     
Friday 4 August    
9:30–10:30 Jan Tuitman Computing zeta functions of smooth projective hypersurfaces
11:00–12:00 Filip Najman Hyperelliptic modular curves X0(n) and isogenies of elliptic curves over quadratic fields
12:10–13:10 Christian Wuthrich Numerical modular symbols
14:00– Discussion/coding  

 

Abstracts of the talks (PDF)

 

Workshop dinner: TBA

Registration

Unfortunately, it is no longer possible to register for this workshop.

For more information, please send an e-mail to Peter Bruin <P.J.Bruin@math.leidenuniv.nl>.

Accommodation

Participants whose accommodation is booked by us will stay at the Hilton Garden Inn, Oegstgeest (very close to the institute).

Here is a non-exhaustive list of further hotel suggestions.

Close to the institute:

  • Holiday Inn
  • Van der Valk Hotel Leiden

In the city centre:

  • De Doelen
  • Nieuw Minerva

Close to the train station:

  • Golden Tulip
  • Ibis

Organisation

Organiser: Peter Bruin.

Financially supported by NWO (Netherlands Organisation for Scientific Research).