Effective Algebra and the LMFDB

The main focus of the school will be the mathematics around the L-functions and modular forms database (LMFDB). It will introduce the students to the main ideas and philosophies around modularity theorems, which connect algebraic curves and abelian varieties on one side with modular forms and L-functions on the other. Theoretically, such ideas are part of the Langlands program; the LMFDB can be seen as a way to make this program accessible and concrete by means of a huge treasure trove of examples.

The goal of the school is for the students to learn the concepts behind modularity conjectures, to be able to relate this theoretical knowledge with examples such as those furnished by the LMFDB, and finally to obtain deeper knowledge on one of the themes of a number of research groups that will be devoted to supervised research on a more specialized mathematical topic in the area.

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Le programme scientifique est disponible sur le site local de l'école :
https://math.mak.ac.ug/cimpa_uganda/

Langue officielle de l'école : anglais