Konferenzen zum Thema Algebra in China

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1
Workshop — Geometry and Physics of Quantum Toroidal Algebra
06. Sep 2020 - 11. Sep 2020 • Hangzhou, China
Veranstalter:
Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Zusammenfassung:
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.
Eintrags-ID:
1330270
2
Workshop — Modular Forms in Number Theory and Physics
20. Sep 2020 - 25. Sep 2020 • Hangzhou, China
Veranstalter:
Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Zusammenfassung:
Modular forms have been one of the central topics in number theory for more a century and they continue to experience a wide range of applications throughout mathematics nowadays. Different incarnations of modularity, known as quasi-modular forms, quantum modular forms, Jacobi forms and Siegel modular forms regularly show up in physics topics such as mirror symmetry, topological quantum field theory, Gromov-Witten invariants, conformal field theory, Calabi-Yau manifolds. The principal goal of the proposed conference is to assess the role of various modular forms in recent developments in number theory, geometry and string theory.
Eintrags-ID:
1330345
Verwandte Fachgebiete:
3
Workshop — Topological Data Analytic Applications of Persistent Cohomology
04. Okt 2020 - 09. Okt 2020 • Hangzhou, China
Veranstalter:
Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Zusammenfassung:
Inspired by the success of persistent homology, the purpose of the present workshop is to replicate this success by developing robust, statistically integrated versions of other constructions from classical algebraic topology. In particular, we are interested in persistent versions of cohomology theory, that combine the robustness of persistence with the various sophisticated algebraic structures associated with cohomology.
Eintrags-ID:
1330387
Verwandte Fachgebiete:
4
Workshop — Poisson Geometry and Artin-Schelter Regular Algebras
11. Okt 2020 - 16. Okt 2020 • Hangzhou, China
Veranstalter:
Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Zusammenfassung:
This workshop will tackle some fundamental open questions about Artin-Schelter regular algebras, in particular, elliptic algebras, and their associated Poisson structures. In particular, it will focus on the correspondence between the representations of elliptic algebras and the symplectic leaves of their semi-classical limits, as well as on the relationship between the deformation theory of Artin-Schelter regular algebras and that of the derived category or the A-infinity-category of related projective schemes. This workshop brings together leading experts in algebra and geometry from around the world to identify and attack these outstanding problems and to collaborate for future breakthroughs.
Eintrags-ID:
1330408
Verwandte Fachgebiete:
5
Geometry of Hyperkähler Varieties
05. Sep 2021 - 10. Sep 2021 • Hangzhou, China
Veranstalter:
Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Zusammenfassung:
The geometry of Hyperkahler varieties is certainly one of the most studied topics in Algebraic Geometry, with many connections to Representation Theory and Arithmetic Geometry. The aim of this workshop is to survey the recent developments in this area and to investigate the open problems and conjectures, by creating new collaborations between participants from different research fields.
Eintrags-ID:
1364882
6
Subfactors, Vertex Operator Algebras, and Tensor Categories
19. Sep 2021 - 24. Sep 2021 • Hangzhou, China
Veranstalter:
Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Zusammenfassung:
Subfactors and vertex operator algebras are mathematical structures that at first glance appear very different, but both are used in the mathematical study of quantum field theory. In particular, vertex operator algebras are algebraic structures arising in two-dimensional conformal field theory (CFT), a quantum field theory with applications ranging from string theory to condensed matter physics to quantum computing. On the other hand, subfactors are closely related to conformal nets, which are a functional-analytic approach to CFT. Because they are both mathematical descriptions the same quantum field theory, the theories of vertex operator algebras and conformal nets are widely believed to be equivalent, but only in the last few years has there been substantial progress in establishing an equivalence. As many important results in conformal field theory have been established for either vertex operator algebras or conformal nets, but not necessarily both, developing connections and equivalences will be useful for answering open questions in both mathematical formulations of CFT.
Eintrags-ID:
1364979


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Stand vom 08. Juli 2020