Zobecněné a vyšší struktury v algebře a geometrii
| Thesis title in Czech: | Zobecněné a vyšší struktury v algebře a geometrii |
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| Thesis title in English: | Generalized and higher structres in algebra and geometry |
| Academic year of topic announcement: | 2018/2019 |
| Thesis type: | dissertation |
| Thesis language: | |
| Department: | Mathematical Institute of Charles University (32-MUUK) |
| Supervisor: | prof. Ing. Branislav Jurčo, CSc., DSc. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 20.09.2019 |
| Date of assignment: | 20.09.2019 |
| Confirmed by Study dept. on: | 04.10.2019 |
| Guidelines |
| Higher and generalized structures are at the heart of, e.g., modern homological algebra, algebraic topology and differential geometry. Recently they found profound applications in quantum theory. Its many facets and developments have widely influenced both physics and mathematics. The PhD thesis will focus on different mathematical aspects of higher and generalized structures inspired by string and more generally M-theory.
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| References |
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Martin Markl, Steve Shnider, Jim Stasheff, Operads in Algebra, Topology and Physics, AMS 2002 Tom Leinster, Ed., Higher Operads, Higher Categories, Cambridge Univ. Press, 2004 Branislav Jurco, Christian Saemann, Martin Wolf, Higher Groupoid Bundles, Higher Spaces, and Self-Dual Tensor Field Equations, Fortschr. Phys. 64, 674-717 (2016) Maxim Kontsevich, Operads and Motives in Deformation Quantization, Lett.Math.Phys.48:35-72,1999 |