V5D3 - Advanced Topics in Geometry (Symplectic geometry and categorical invariants)

• Instructor: Laurent Côté
• Email: lcote@math.uni-bonn.de

Final exam information:

• 1st exam period: July 30 and July 31
• 2nd exam period: September 23 and September 24

• Exam 2 timetable (please double check your time on the day of the exam, in case I need to make an unexpected change)
• Signup form for second exam period; live until Tuesday September 10, 2024
• Signup form for first exam period
• Exam 1 timetable (please double check your time on the day of the exam, in case I need to make an unexpected change)
• Exam preparation questions

Exam registration information:
• Any student wishing to take an exam must be officially registered before the start of the exam. Please check your registration status on Basis.
• Please express your time preference for the first exam by filling out the signup form above. The form also enables you to provide an alias if you do not want your full name to appear on the exam table which will be posted to this website. Any student who is officially registered for the exam and does not fill out the signup form will be assigned a random exam time, and their real name (as it appears on Basis) will be used in the exam timetable.
• The exam times for the first exam will be posted to this website during the final week of classes.

Practical information:
• The exam will take place in instructor's office (1.003 in the Mathematical Institute Building, 60 Endenicher Allee).
• Please arrive five minutes before your assigned exam time, and wait in front of the door until you are called in (please don't knock, as another student may be finishing their exam).

Exam format and rules:
• The exam will be an oral exam lasting twenty minutes.
• At least half of the exam questions will be drawn from "Exam preparations questions" review sheet.
• You are not permitted to consult any material during the exam (such as your notes or a textbook).
• Good luck!

Additional information for the second exam period:
• A signup sheet for the second exam period will be posted to this website in early September.
• The exam times for the second exam will also be posted to this website.
• The format and rules are the same for both exams.

Course material:

• Critical points of the symplectic action functional (hopefully free of typos)
• Analogies: Morse and Floer theory

Optional exercise sheets:

• Sheet 1
• Sheet 2
• Sheet 3
• Sheet 4
• Sheet 5
• Sheet 6

Some relevant sources: The main source will be the instructor's class lecture notes. Some material may be drawn from the following list of references (which may grow as the semester progresses).

• D. McDuff and D. Salamon, J-holomorphic Curves and Symplectic Topology. Vol. 52. American Mathematical Society, 2004.
• D. McDuff and D. Salamon, Introduction to Symplectic Topology. 3rd ed. Oxford University Press.
• M. Audin and M. Damian, Morse Theory and Floer Homology. Springer.