O kvantitativních aspektech symplektické geometrie

• Thesis title in Czech: O kvantitativních aspektech symplektické geometrie
• Thesis title in English: On quantitative aspects of symplectic geometry
• Key words: symplektická geometrie
• English key words: symplectic geometry
• Academic year of topic announcement: 2022/2023
• Thesis type: diploma thesis
• Thesis language: čeština
• Department: Mathematical Institute of Charles University (32-MUUK)
• Supervisor: doc. Roman Golovko, Ph.D.
• Author: hidden - assigned by the advisor, waiting for guarantor's approval
• Date of registration: 28.09.2023
• Date of assignment: 09.10.2023

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).