On quantitative aspects of symplectic geometry
| Thesis title in Czech: | O kvantitativních aspektech symplektické geometrie |
|---|---|
| Thesis title in English: | On quantitative aspects of symplectic geometry |
| Key words: | symplektická topologie|embedded contact homology|symplektické kapacity|ECH kapacity |
| English key words: | symplectic topology|embedded contact homology|symplectic capacities|ECH capacities |
| Academic year of topic announcement: | 2023/2024 |
| Thesis type: | diploma thesis |
| Thesis language: | angličtina |
| Department: | Mathematical Institute of Charles University (32-MUUK) |
| Supervisor: | doc. Roman Golovko, Ph.D. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 09.10.2023 |
| Date of assignment: | 08.11.2023 |
| Confirmed by Study dept. on: | 08.11.2023 |
| Date and time of defence: | 11.09.2024 08:00 |
| Date of electronic submission: | 16.07.2024 |
| Date of submission of printed version: | 16.07.2024 |
| Date of proceeded defence: | 11.09.2024 |
| Opponents: | doc. Dr. Hong Van Le, DrSc. |
| Guidelines |
| Student bude studovat kvantitativní aspekty moderní symplektické geometrie, jako jsou různé typy symplektických kapacit.
Hlavním cílem je seznámit se s kvantitativními metodami v symplektické geometrii a provést určité výpočty. The student will study the quantitative aspects of modern symplectic geometry such as different types of symplectic capacities. The main goal is to learn about quantitative methods in symplectic geometry and to perform certain computations. |
| References |
| D. McDuff and D.A. Salamon, Introduction to Symplectic Topology, OUP, Oxford, (1995).
K. Cieliebak, H. Hofer, J. Latschev and F. Schlenk, Quantitative symplectic geometry, Recent Progress in Dynamics MSRI Publications, Volume 54, (2007). M. Hutchings, Recent progress on symplectic embedding problems in four dimensions, Proceedings of the National Academy of Sciences, 108 (20) 8093-8099, (2011). |