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This school on Integrability is designed especially for young researchers, including PhD students and PostDocs, who are eager to delve into the fascinating realm of integrability in physics.

The analysis of interacting field theories or many-body systems requires in general approximations or numerical simulations. Both methods have their limitation: while the approximative method is directly limited by the validity of the simplifying assumptions, numerical methods can be constrained by the lack of sufficient memory or exponentially increasing computational time with the system size. Furthermore, one needs preexisting, established, and reliable results to contextualize the derived results. Integrable models, which can be solved analytically provide very reliable starting points for not exactly solvable systems. Besides their role as benchmarks, integrable models can also be experimentally realized and thus have a direct application in explaining physical phenomena e.g. ultracold atomic gases in optical lattices. Hence, Integrability has a rich history in physics and boasts wide-ranging applications across scientific disciplines.

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

MIAPbP - Munich Institute for Astro-, Particle and BioPhysics an institute of the Excellence Cluster ORIGINS

Fertile common ground has emerged for the mathematical structures that control perturbative calculations in different domains of fundamental physics – quantum field theory, general relativity, and their extension to string theory. This program brings together experts in these various domains of physics, as well as mathematicians with expertise in higher-genus surfaces and Calabi-Yau periods. Through an in-depth exchange among these communities, we aim to: · trigger technology transfer for advancing the precision frontier in perturbative quantum field theory and string theory, leading to insights that will impact both phenomenology, such as collider and gravitational-wave physics, and formal theory, such as string dualities and holography; · chart a course towards new understanding of the role of special functions in high energy physics, opening new avenues to reformulate quantum field theory and string theory to manifest the similarities of their mathematical structures.

High Energy Physics, Particles and Fields,    Courses and Events for Physics Students

Wilhelm and Else Heraeus-Foundation

The school focuses on quantum field theory, particle physics and (quantum) gravity, but other related areas of theoretical and mathematical physics (e.g. aspects of string theory, condensed matter physics, quantum information) also receive attention.

Courses and Events for Physics Students,    High Energy Physics, Particles and Fields

MIAPbP - Munich Institute for Astro-, Particle and BioPhysics an institute of the Excellence Cluster ORIGINS

Effective field theory (EFT) is a powerful tool for describing the physics of systems at different energy scales. In the context of colliders and gravitational waves, EFTs together with multi-loop precision computation techniques play an essential role in creating precise theoretical predictions that can be compared with empirical data. Recently it has become evident that similar methods and computational tools can be successfully applied to the seemingly different fields of collider and gravitational wave physics. This workshop will bring together experts to discuss the latest developments in theory and phenomenology.

Resummation for the LHC: precision frontier, new structures, and jet processes; EFT tools for fixed order calculations; Factorization theorems at leading and subleading power; EFTs and expansions for gravitational wave astronomy; Scattering amplitudes in the classical regime; Multi-loop integrals for gravitational physics.

High Energy Physics, Particles and Fields,    Courses and Events for Physics Students

Hausdorff Research Institute for Mathematics (HIM)

High Energy Physics, Particles and Fields,    Courses and Events for Physics Students