Wiese, Gabor[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]

2019

Notes from the International Autumn School on Computational Number Theory: Izmir Institute of Technology 2017

Buyukasik, Engin

Inam, Ilker

Birkhäuser/Springer

63–170

Yes

Yes

International

978-3-030-12557-8

Cham

CH

International Autumn School on Computational Number Theory

from 30-10-2017 to 03-11-2017

Izmir

Turkey

[en] These course notes are about computing modular forms and some of their arithmetic properties. Their aim is to explain and prove the modular symbols algorithm in as elementary and as explicit terms as possible, and to enable the devoted student to implement it over any ring (such that a sufficient linear algebra theory is available in the chosen computer algebra system). The chosen approach is based on group cohomology and along the way the needed tools from homological algebra are provided.