我确信这是现在网上出现过的最好的辛几何课程，没有之一
今年刚结课

https://www.Y.com/playlist?list=PLArBKNfJxuukGoNZD6yBjie_zgY-x8Vn2

课程主页：上面还有板书pdf，作业，作业答案，zoom recording
用的教材是 da silva那本，但是不讲里面contact structur和generating function

https://www.notion.so/Symplectic-Geometry-3cfcd6366a814b0285ef6c0c969845cb

by Professor Ben Webster from waterloo univ

Fields Academy Course: Symplectic Geometry

This class covers the basic theory of symplectic manifolds. Symplectic structures play a key role in modern mathematics and physics. We will discuss their basic local theory (in particular, the Darboux theorem), connections to complex and Kahler geometry, Hamiltonian mechanics, moment maps and symplectic reduction, and some additional topics, such as toric varieties, hyperkahler structures, quantization, Fukaya categories and mirror symmetry.

1 Jan 9,symplectic manifolds
2 Jan 13, cotangent bundles
3 Jan 18, Morse theory
4 Jan 20, Darboux and Weinstein theorems
5 Jan 25, almost complex manifolds
6 Jan 27, complex manifolds
7 Feb 1, Kahler manifolds
8 Feb 3, Hamiltonian vector fields
9 Feb 8, Lagrangian and Hamiltonian mechanics
10 Feb 10, Background on Lie groups and actions
11 Feb 22, moment maps
12 Feb 24, Poisson geometry
13 Feb 29, symplectic reduction
14 Mar 2, Lie group, principal

bundle,connections,gauge transformation,
15 Mar 8, symplectic toric mfld
16 Mar 10,
17 Mar 17, hyper khaler mfld, holonomy group,
18         twistor  theory
19 Mar 24, quantization
20 Mar 29, quantum physics
21 Mar 31
22         ... and string theory, without physics
23 Apr 7, mirror symmetry
24 Apr 12,
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修改:vinbo FROM 211.161.249.*
FROM 172.105.114.*