First Function Field Days is the first activity organised as part of the research project led by Bruno Anglès as a Distinguished Visiting Professor at the ICMAT. Image: Íñigo de Amescua/ICMAT

Today, 14 April, the workshop First Function Field Days is taking place at the ICMAT, focusing on the arithmetic of function fields, a branch of number theory. In classical number theory, one works with number fields (such as the rational numbers or their algebraic extensions). Function fields over finite fields offer a somewhat parallel setting. In this framework, certain problems of particular interest in number theory become more accessible or even solvable, providing a testing ground for broader conjectures such as the famous Riemann Hypothesis.

This event also marks the first activity organised under the research project led by Bruno Anglès (University of Caen Normandy, France) as a Distinguished Visiting Professor at the ICMAT. The Distinguished Visiting Professors and Laboratories programme is one of the main initiatives within the ICMAT’s Severo Ochoa Centre of Excellence project.

The conference, organised by Daniel Macías, CSIC researcher at the ICMAT, and Anglès, brings together specialists in this area of mathematics to share the latest research aimed at understanding patterns and structures in number theory, such as the so-called zeta functions, Drinfeld modules or Anderson modules.

The programme includes talks by Maxim Mornev (ICMAT-CSIC); Quentin Gazda (Sorbonne University); Xavier Caruso (CNRS, University of Bordeaux, France); and Anglès himself. In addition, an introductory lecture on the topic was held on 10 April, delivered by Álvaro Hernández Herrera (UAM).

Fourth edition of the ICMAT Laboratories and Distinguished Visiting Professors Programme (2024–2028)

Bruno Anglès is a Distinguished Visiting Professor at the ICMAT

The Severo Ochoa Laboratories and Distinguished Visiting Professors programme is one of the ICMAT’s main initiatives made possible through funding from the Severo Ochoa Centre of Excellence accreditation, renewed in 2024 for the fourth consecutive time. These are research groups led by internationally renowned scientists and coordinated with the support of permanent ICMAT staff.

The fourth edition of the programme comprises five laboratories, led by the following researchers: Alan Reid (Rice University, USA); Martin Bridson (University of Oxford, UK, and Clay Mathematics Institute); Ignacio Cirac (Max Planck Institute of Quantum Optics, Germany); Charles Fefferman (Princeton University, USA); Ngô Bảo Châu (University of Chicago, USA); Nigel Hitchin (University of Oxford); Gilles Pisier (Texas A&M University, USA, and Sorbonne University–Jussieu Institute, France); and Mikel de la Salle (University of Lyon, France).

The current edition’s Distinguished Visiting Professors are: Bruno Anglès (University of Caen Normandy, France); Elena Celledoni (Norwegian University of Science and Technology); Monika Ludwig (Vienna University of Technology, Austria); Eugenia Malinnikova (Stanford University, USA); Eero Saksman (University of Helsinki, Finland); and Eva Miranda (Polytechnic University of Catalonia).

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