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This is a two-week thematic program with a focus on recent developments in Teichmüller theory which promise to be fertile in the near future. These includeThe metric theory of Teichmüller spaces and other spaces, including the recent breakthroughs in the Thurston metric.Higher Teichmüller theory, and its interplay with Higgs bundles, algebraic geometry and Anosov representations.The Teichmüller theory of infinite-type surfaces, including their quasiconformal theory and what is known as the ``big" mapping class group.Relations with anti-de Sitter geometry.The techniques for these areas come from complex analysis, hyperbolic geometry, dynamics, partial differential equations, projective geometry, geometric and combinatorial group theory, algebraic geometry, Kähler geometry and other fields —  these often give several points of view on the same objects showing the richness of the theory.The workshop will consist of a series of mini-courses (with lectures typically totalling 3 hours) toget...

The workshop aims to bring together experts from two different disciplines: mathematical aspects of scattering amplitudes, and cosmology. In the last decades we have got a tremendous amount of insights in the structure of perturbative on-shell scattering amplitudes. This includes unitarity methods, recursion relations, worldsheet models, bootstrap methods and more recently also an intriguing connection to positive geometry, positive Grassmannian, Associahedron and the Amplituhedron. This all pushes us closer to a reformulation of the perturbative S-matrix using a completely new set of principles. At the same time, similar remarkable structures have been observed in cosmological correlators, which are fundamental objects capturing the physics of our Universe. This connects two seemingly different fields of theoretical physics. This workshop will help to advance these connections further.Eligibility criteria:Registrations for the PGSAC Program are open to graduate students and researcher...

The progress in parallel of high-speed electronics and low temperature technologies has revolutionized the study of quantum matter. Many of the gedanken experiments of the fathers of quantum mechanics are now realized routinely, as well as many new ones that the founders could hardly have dreamed of.  The possibility of quantum-based encryption, communication and computing is getting concrete and some real implementations are already available. This so-called second quantum revolution which is mostly yet to come will be the fruit of a close collaboration between theory (theoretical physics, but also applied mathematics) and experiment.Our aim is to address some of the central theoretical open questions in the field. The program will be centered around three main topics:(i) Quantum trajectories and Quantum control,(ii) Measurement induced phase transitions and finally,(iii) Quantum information and computation.The goal of this program is to gather researchers from the above areas, from t...

The establishment of the complete framework of Quantum Mechanics is one of the epochal events of not just science, but human history. In addition to giving a highly successful theoretical basis for understanding the universe of the very small, the very large and the very complex, its technological spin offs are the mainstay of modern civilization. ICTS plans to celebrate the centenary of modern quantum mechanics and look towards the emerging frontiers which will shape the next 100 years. Thus, in the QM100 meeting we plan to gather a galaxy of international scientists in areas ranging across Quantum Mechanics in all its manifestations with different themes from High Energy Physics, String Theory, Cosmology, Condensed Matter Physics, Atomic and Molecular Physics, Quantum Chaos as well as Quantum Information/Computing and Mathematics.In-person participation is by invitation only. There will, however, be an option for online participation. We may be able to accommodate a selected few youn...