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CIRM – Centre International de Rencontres Mathématiques

The school will introduce participants to several hot research topics at the frontier between geophysical fluid dynamics, fundamental physics and mathematics. The main themes will be spontaneous stochasticity, waves in geophysical and astrophysical fluids and fundamental challenges in hydrodynamic and wave turbulence. The school will consist of several lecture series, plus a number of research seminars, covering mathematical, theoretical and experimental aspects. The school is organized in the framework of an international collaboration which started in 2019 and which is financially supported by the Simons Foundation (https://cims.nyu.edu/wave-turbulence/people/). This “Simons Collaboration on Wave Turbulence” brings together physicists and mathematicians with the aim of addressing fundamental questions about the Wave Turbulence theory and its applicability to real systems and especially to the Earth climate system.

Applied Mathematics (in general),    Computational Physics and Numerical Simulation

CIRM – Centre International de Rencontres Mathématiques

The interactions between dynamics and geometry in dimensions up to three are fertile, they have been at the origin of many recent discoveries. A particularly nice example is the genericity of the set of three-dimensional Reeb flows admitting infinitely many periodic orbits. These interactions are also at the heart of a number of current research programs around the world in various directions. Transverse geometric structures (possibly singular), for example, represent a promising line of work for the study of Anosov flows in dimension three. Methods and concepts from one-dimensional dynamical systems, singular geometric structures on surfaces (of which translation surfaces are the paradigmatic example) and three-dimensional flows are fundamental. These ideas permeate a large part of mathematics, inspiring many higherdimensional notions, but are not as well-known as they should be by a wider public of young researchers in geometry and dynamics. The aim of this summer school is to help filling this gap, through three in-depth mini-courses on circle diffeomorphisms, translation surfaces and the dynamics of three-dimensional Reeb flows.

Simons Laufer Mathematical Sciences Institute (SLMath)

Random graphs are ubiquitous in modern probability theory. Besides their intrinsic mathematical beauty, they are also used to model complex networks. In the early 2000’s, I. Benjamini and O. Schramm introduced a mathematical framework in which they endowed the set of locally finite rooted connected graphs with the structure of a Polish space, called the local topology. The goal of this summer school is to introduce the framework of local limits of random graphs, the concepts of Benjamini-Schramm (or unbiased) limits and unimodularity, as well as the most important applications. The lectures will be delivered by Nicolas Curien (Prof. Paris-Saclay University) and Justin Salez (Prof. Université Paris-Dauphine) and will be complemented by many problem sessions, where students will work in small groups under the guidance of teaching assistants, who are researchers in the field.

Graph Theory and Combinatorics,    Probability and Statistics, Game Theory

The MIP European Workshop 2025 is supported by the Mixed Integer Programming Society (MIPS), a section of the Mathematical Optimization Society (MOS).

The Mixed Integer Programming (MIP) Workshop is a single-track workshop highlighting the latest trends in integer programming and discrete optimization, with speakers chosen by invitation. It brings together researchers, students, and industry actors from around the globe, fostering collaboration and providing a showcase for students, early career academics, and developments in industry and novel applications. In this edition, we are putting a special focus on bringing a considerable number of speakers based in different countries of South America.

The MIP European Workshop is part of the MIP International Workshop series, held in addition to the classical MIP Workshop.

Optimization Theory, Operational Research,    Algorithms and Data Structures