2026

Mathematical understanding is built in many ways. Among these, illustration has been a companion and tool to research for as long as research has taken place. We use the term illustration to encompass any of the many ways one might bring a mathematical idea into physical form or experience, including computer visualization, 3D printing, and virtual reality, among others. With modern tools, illustration can even make mathematics an experimental science, so that computational results can drive the cycle of problem, conjecture, and proof.

Born in a letter of Robert Langlands to André Weil in 1967, the Langlands program seeks to establish a far-reaching web of conjectures relating seemingly distant areas of mathematics, primarily number theory, representation theory, and algebraic geometry

This thematic month will focus on some of the most important current directions of this program: the geometric Langlands program, the p-adic Langlands program, the geometrization of the Langlands program, and relative Langlands duality.

Titre: FOUVRY - 73

Week 1-2 (17 August- 28 August 2026): Summer school
Week 3 (31 August -4 September 2026): Workshop
Week 4 (7-11 September 2026): Scientific collaborations

General summary: 

Coordinator: Joaquim M. C. Correia (Universidade de Évora, Portugal)

Operator algebras are self-adjoint subalgebras of the bounded operators on a Hilbert space and divide into two main classes: C∗-algebras and von Neumann algebras, according to whether one demands that they are closed in the norm topology or the weak operator topology.

Geophysical Fluid Dynamics covers a wide range of applications in atmospheric and oceanic sciences with direct connections to the challenges of climate change. Historically studied by physicists and applied mathematicians, rotating fluids have been the subject of many recent results involving the analysis of PDEs. However, exchanges between these communities remain relatively rare and isolated.

Mathematical understanding is built in many ways. Among these, illustration has been a companion and tool to research for as long as research has taken place. We use the term illustration to encompass any of the many ways one might bring a mathematical idea into physical form or experience, including computer visualization, 3D printing, and virtual reality, among others. With modern tools, illustration can even make mathematics an experimental science, so that computational results can drive the cycle of problem, conjecture, and proof.