Advanced Topics in Geometry and Topology

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Next lectures
13.10.2026, 13:15 (Augusteum - A314)
14.10.2026, 09:15 (S311)
15.10.2026, 13:15 (Raum P801)
20.10.2026, 13:15 (Augusteum - A314)
21.10.2026, 09:15 (S311)
22.10.2026, 13:15 (Raum P801)
27.10.2026, 13:15 (Augusteum - A314)
28.10.2026, 09:15 (S311)
29.10.2026, 13:15 (Raum P801)
03.11.2026, 13:15 (Augusteum - A314)
04.11.2026, 09:15 (S311)
05.11.2026, 13:15 (Raum P801)
10.11.2026, 13:15 (Augusteum - A314)
11.11.2026, 09:15 (S311)
12.11.2026, 13:15 (Raum P801)
17.11.2026, 13:15 (Augusteum - A314)
18.11.2026, 09:15 (S311)
19.11.2026, 13:15 (Raum P801)
24.11.2026, 13:15 (Augusteum - A314)
25.11.2026, 09:15 (S311)
26.11.2026, 13:15 (Raum P801)
01.12.2026, 13:15 (Augusteum - A314)
02.12.2026, 09:15 (S311)
03.12.2026, 13:15 (Raum P801)
08.12.2026, 13:15 (Augusteum - A314)
09.12.2026, 09:15 (S311)
10.12.2026, 13:15 (Raum P801)
15.12.2026, 13:15 (Augusteum - A314)
16.12.2026, 09:15 (S311)
17.12.2026, 13:15 (Raum P801)
22.12.2026, 13:15 (Augusteum - A314)
23.12.2026, 09:15 (S311)
24.12.2026, 13:15 (Raum P801)
29.12.2026, 13:15 (Augusteum - A314)
30.12.2026, 09:15 (S311)
31.12.2026, 13:15 (Raum P801)
05.01.2027, 13:15 (Augusteum - A314)
06.01.2027, 09:15 (S311)
07.01.2027, 13:15 (Raum P801)
12.01.2027, 13:15 (Augusteum - A314)
13.01.2027, 09:15 (S311)
14.01.2027, 13:15 (Raum P801)
19.01.2027, 13:15 (Augusteum - A314)
20.01.2027, 09:15 (S311)
21.01.2027, 13:15 (Raum P801)
26.01.2027, 13:15 (Augusteum - A314)
27.01.2027, 09:15 (S311)
28.01.2027, 13:15 (Raum P801)

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This graduate lecture course offers an introduction to

Moment Maps, Symplectic Reduction

and Equivariant Localization

It will cover

• Hamiltonian actions, moment maps, coadjoint orbits
• Symplectic reduction
• Convexity, moment polytopes
• Duistermaat-Heckman
• Equivariant cohomology, Cartan model, localization theorem
• Witten's supersymmetric Morse theory

The course comprises two lectures and one seminar per week.

Prerequisites
Basics of Symplectic Geometry, Hamiltonian systems, Lie group, Algebraic Topology

Audience
Master students (Master Mathematics and Master Mathematical Physics), Diploma Students, PhD Students