A CIMPA school on
Effective Algebra and the LMFDB
at Makerere University, Uganda
January 13 - 24, 2025















CIMPA poster here!
  • CIMPA poster
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    The main focus of this CIMPA school will be the mathematics around the L-functions and modular forms database (LMFDB). It is intended to introduce its participants to new active areas of research, and is suitable for students from the master level onward, also including PhD and postdoctoral students. The school 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. A main series of plenary lectures will introduce the students to L-functions, modular forms, elliptic curves, and their relations. It will also show how these interconnections generalize to broader contexts, such as those of curves of small genus and abelian varieties. Besides this lecture series and an initial recapitulation of some topics in elementary arithmetic geometry, the school will feature eight research groups on the following topics:
    1. [A1] Isogeny graphs and the resulting cryptography. Ionica, Kunzweiler.
    2. [A2] Abelian varieties over finite fields and their isogeny classes. Marseglia.
    3. [B1] Artin-Schreier curves. Garcia, Malmskog.
    4. [B2] Arithmetic of algebraic curves of small genus. Pazuki, Sijsling.
    5. [C1] The Sato--Tate and Galois representations. Colo, Kohel
    6. [C2] L-functions and Galois representations associated to elliptic curves. El-Guindy, Banwait.
    7. [D2] Analytic aspects of L-functions. Thompson

    Organizing Committee
    1. Prof. Elisa Lorenzo Garcia, CIMPA supervisor (Universite de Neuchatel, Switzerland)
    2. Prof. Jeroen Sijsling, international coordinator (Ulm University, Germany)
    3. Dr. Alex Samuel Bamunoba, local coordinator (Makerere University, Uganda)
    4. Dr. Innocent Ndikubwayo (Makerere University, Uganda)
    5. Dr. Geoffrey Ismail Mirumbe (Makerere University, Uganda)
    6. Dr. Annet Kyomuhangi (Busitema University, Uganda)
    7. Dr. Mahadi Ddamulira (Makerere University, Uganda)
    8. Prof. David Ssevviiri (Makerere University, Uganda)
    9. Dr. Sarah Nakato (Kabale University, Uganda)
    10. Dr. Olivia Nabawanda (Mbarara University of Science and Technology, Uganda)

    For any more information regarding the school, please contact the local organisers at cimpa2025makerere@gmail.com: click here to send an e-mail
    We gratefully acknowledge the support of: