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1
Workshop — Lagrangian Multiform Theory and Pluri-Lagrangian Systems
22 oct 2023 - 27 oct 2023 • Hangzhou, Chine
Organisateur:
Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China
Résumé:
In 2009 a new direction in variational calculus was proposed, called Lagrangian multiform theory (also referred to as pluri-Lagrangian systems), which breaks with the conventional approach in a fundamental way: in this new theory the Lagrangian is no longer a simple function of the fields, but an extended object (a differential or difference p-form). Furthermore, the Lagrangian is not put in by hand, i.e. chosen on the basis of secondary considerations (such as requiring certain symmetries), but emerges itself as a solution of the principal variational equations. These equations come from varying both the fields (as in the conventional theory) as well as the hyper-surfaces over which the action is integrated in the space of independent variables. The theory forms unique departure from the standard picture, in that it forms the first least-action principle that merges variational calculus with the key integrability notion of 'multidimensional consistency' (which is the key property of integrable systems, comprising the class of remarkable model equations which allow for the coexistence of infinite families of equations on one and the same mathematical functions). The fast development of the theory in the last decade, establishing the basic principles of the classical theory, demonstrating the applications to integrable systems and making the first steps towards a quantum theory, make it very timely to have a meeting on this new subject. The ambition of this novel viewpoint on the least-action principle, possibly as a candidate for a new foundational principle of physics, compel to branch out to researchers working in fundamental physics.
Identifiant de l'évènement:
1523428
2
Workshop — Arthur packets
05 nov 2023 - 10 nov 2023 • Hangzhou, Chine
Organisateur:
Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China
Résumé:
The Langlands Programme as we now know it was framed as a research agenda in the late 1960s. At the same time that the Nobel Prize was being awarded to Murray Gell-Mann "for his contributions and discoveries concerning the classification of elementary particles and their interactions," the Langlands Program predicted that the elementary particles of arithmetic -- L-functions -- should be classified by automorphic representations of algebraic groups. One of the pillars of the Langlands Programme is a conjecture, known as the local Langlands Correspondence, which is crucial to attaching complete L-functions to automorphic representations. The local Langlands Correspondence is now a theorem for automorphic representations of quasisplit classical groups by the work of James Arthur, relying on the work of many mathematicians. Arthur packets play a key role in this recent work. This conference gathers together experts on Arthur packets over global and local fields to cross-pollinate ideas and work on open problems.
Identifiant de l'évènement:
1523396
3
Workshop — Vortex Dynamics: the Crossroads of Mathematics, Physics and Applications
03 dec 2023 - 08 dec 2023 • Hangzhou, Chine
Organisateur:
Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China
Résumé:
Vortex dynamics is at the heart of many unresolved problems in fluid mechanics and is also central to numerous applications in science and engineering. The goal of the proposed meeting is to survey the recent progress in this field focusing on applied mathematics aspects of both classical and emerging problems. We are planning to bring together about 40 researchers at different career stages working on various aspects of vortex dynamics, spanning applied mathematical analysis, scientific computing, physical modeling as well as scientific and engineering applications. A highlight of the workshop will be events designed to foster cross-fertilization between applied mathematics and different application areas.
Identifiant de l'évènement:
1523331
4
Geometry and Physics of Quantum Toroidal Algebra
01 sep 2024 - 06 sep 2024 • Hangzhou, Chine
Organisateur:
Institute for Advanced Study in Mathematics (IASM)
Résumé:
The theories of rational/trigonometric/elliptic functions were developed as functions over plane/cylinder/torus, respectively, before the 20th century. Among them, the theory of elliptic functions is most interesting, and it can be understood as the parent theory of the rest. During the 20th century, the same rational/trigonometric/elliptic trichotomy has been also found in integrable systems, algebras and cohomology groups. Like the theory of functions, recent development reveals that the relationship among integrable system, algebra, geometry, and physics becomes most profound at elliptic level. In particular, Lie algebras (rational) are promoted to affine Lie algebras (trigonometric) and toroidal Lie algebras (elliptic). The workshop aims at investigating quantum versions of toroidal Lie algebras, called quantum toroidal algebras.
Identifiant de l'évènement:
1576791
Sujets apparentés:
5
Towards Routine Orbital-free Large-Scale Quantum-Mechanical Modelling of Materials
08 sep 2024 - 13 sep 2024 • Hangzhou, Chine
Organisateur:
Institute for Advanced Study in Mathematics (IASM)
Résumé:
This symposium brings together mathematicians, computer scientists, chemists and physicist to address a truly multidisciplinary issue of enabling large-scale atomistically-resolved, ab initio materials modeling. Such modeling capabilities are required for understanding and rational design of materials ranging from alloys to solid electrolytes for fuel cells. There is a substantial gap in theory and computing techniques which on one hand would be able to model phenomena intrinsically requiring models with millions of atoms and on the other hand provide accuracy and insight which is today routinely achievable only for unrealistically small model systems . This is a gap between a model and a reality. To bridge it, this symposium makes brains from different research fields pull in one direction. Progress that this symposium will help accelerate will mean better computational support for the development of functional materials, with more of the development moved from time-, manpower-, and $-costly lab experimentation to in-silico design.
Identifiant de l'évènement:
1576792
6
Nonlocal Problems in Mathematical Physics, Analysis and Geometry
15 sep 2024 - 20 sep 2024 • Hangzhou, Chine
Organisateur:
Institute for Advanced Study in Mathematics (IASM)
Résumé:
Nonlinear problems are problems which solutions satisfy an equation where the different physical constants involved are depending on the solution itself. This dependence can be nonlocal in the sense that it depends on the solution globally. For instance the motion of a population can be influenced by the total population and not only by the population very locally. One of the goals of the workshop is to deepen the human knowledge in this field applied to different situations.
Identifiant de l'évènement:
1576793


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Dernière mise à jour: 19 septembre 2023