Některá témata diferenciání a zobecněné geometrie s aplikacemi ve fyzice.
| Thesis title in Czech: | Některá témata diferenciání a zobecněné geometrie s aplikacemi ve fyzice. |
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| Thesis title in English: | Some topics in differential and generalized geometry with applications in physics. |
| Key words: | Diferenciálna geometria|Zobecnená geometria|Zobecnený dotyčnicový bundle|Courantova zátvorka|Courantov algeborid |
| English key words: | Differential geometry|Generalized geometry|Generalized tangent bundle|Courant bracket|Courant algebroid |
| Academic year of topic announcement: | 2021/2022 |
| Thesis type: | Bachelor's thesis |
| Thesis language: | angličtina |
| 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: | 13.07.2021 |
| Date of assignment: | 13.07.2021 |
| Confirmed by Study dept. on: | 05.08.2021 |
| Date and time of defence: | 14.09.2021 09:00 |
| Date of electronic submission: | 22.07.2021 |
| Date of submission of printed version: | 22.07.2021 |
| Date of proceeded defence: | 14.09.2021 |
| Opponents: | Mgr. Fridrich Valach, Ph.D. |
| Guidelines |
| Student se seznámí se základy diferenciální a zobecněné geometrie a s některými jejich aplikacemi ve fyzice. |
| References |
| Marián Fecko - Differential geometry and Lie groups for physicists
Marco Gualtieri - Generalized complex geometry Ján Vysoký - Geometry of Membrane Sigma Models (Doctoral thesis) Bernhelm Booß-Bavnbek, Giampiero Esposito, Matthias Lesch - New Paths Towards Quantum Gravity |
| Preliminary scope of work in English |
| Differential geometry plays a prominent role in many areas of modern theoretical physical, ranging from electromagnetism and Yang-Mills to Einstein's general theory of relativity. It became a standard tool to investigate both local and global properties of classical and quantum physical systems. Generalized geometry, as it emerged from string theory and has been first formulated mathematically by Hitchin and his students, proves to be a valuable tool for further study of quantum field theory and strings. |