Conference

Workshop on Algorithms in Number Theory and Arithmetic Geometry

Date: Monday 31 July 2017 - Friday 4 August 2017
Location: Snellius
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)

Programme

Monday 31 July
9:00–9:25	Arrival, coffee/tea
9:25	Introduction
9:30–10:30	Vincent Delecroix	Volumes, intersection and combinatorics in $\overline{\mathcal{M}_{g,n}}$
11:00	Planning/introduction of projects
13:00–16:00	Discussion/coding
16:00–17:00	Tom Fisher	Some algebras associated to genus one curves
17:00	Status reports
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	Marc Masdeu	One approach to packaging Sage code
followed by	Hartmut Monien	Computing Belyi maps for sporadic groups
–16:00	Discussion/coding
16:00–17:00	Nils Bruin	A tool for numerically computing period matrices of algebraic Riemann surfaces
17:00	Status reports
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
12:10–13:10	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
17:00	Status reports
19:00–	Dinner at Pakhuis
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