The aim of this CIMPA school will be to familiarise graduate students and young researchers with the field of enumerative and analytic combinatorics, and to show its many connections to other areas, especially computer science.
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.
From September 08-19, 2025, the University of Douala of Cameroon (through the Faculty of Science) and the Technical University of Braunschweig of Germany (through the Computational Sciences in Engineering study program and the Center for Mechanics Uncertainty and Simulation in Engineering) will co-organize (with the contribution of Advanced Sciences and Technology Academy, a private Institution in Douala) a CIMPA Summer School at the University of Douala on the topic «On Modern Mathematical Tools in Mechanics ».
The Probability and Applied Analysis Summer School Türkiye will take place from June 29 to July 12, 2025 at Feza Gürsey Center for Physics and Mathematics, Boğaziçi University, Istanbul. This school comprises 6 taught courses, accompanying exercise classes, one colloquium, a round table discussion on representation in academia, a Q&A session on graduate school and additional networking/cultural activities.
The school aims to bring participants acquainted with the latest advances in K-theory and Operator Algebras. I will consist of 2 parts; a preliminary set of 4 virtual courses, and second part, the school proper, consisting of 8 presential courses on more advanced topics.
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