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Simons Collaboration on Global Categorical Symmetries

Mathematische Physik,    Teilchenphysik und Felder

Teilchenphysik und Felder,    Astronomie, Astrophysik und Kosmologie

This IHP summer school, consisting in a series of lectures by Andrea Cianchi and Jean Dolbeault, will cover modern techniques concerning the Sobolev and other related inequalities. The first course will focus on reduction principles for Sobolev-type inequalities, based on symmetrization, isoperimetry, interpolation, and rearrangements. The second course will focus on carré du champ techniques, entropy methods and their application to extremal functions, symmetry, rigidity, and stability.

Infinitesimalrechnung, Differentialgleichungen, Integralrechnung,    Analysis

Wilhelm and Else Heraeus-Foundation

Stars are the building blocks of our Universe. Not only do they synthetise all heavy elements such as carbon and oxygen, but they heat and energize their surrounding medium and host planets, the cradle of life. Understanding star formation is therefore of broad and fundamental interest in astrophysics and beyond. Yet it is an extremely rich multi-s

The purpose of the school is to provide the newer generation of scientists working in this field with the basic knowledge necessary to carry out research in this field. Students and early postdocs are particularly welcome to register.

The school aims to highlight recent significant progress on the mathematical analysis of complex quantum systems, and to indicate interesting open questions for the future. The lectures will emphasize interacting and correlated systems as well as random systems, with methods drawn from analysis and probability to algebra and topology.

Mathematische Physik,    Quantenmechanik und Quantentechnologie

The Joliot Curie School trains each year, and since 1982, PhD students, post-doctorates and researchers on scientific breakthroughs performed in a topic related to nuclear physics, in a broad range.

Wilhelm and Else Heraeus-Foundation

Controlling transport of fluids and charged particles in nanoscale confinement is a key challenge in many areas of science and engineering. In extreme confinement, the conventional macroscopic description of transport breaks down and fundamentally new approaches connecting atomistic description with experimental observations are required. The proposed summer school is timely and will provide valuable training for young nano scientists.