- Lecturer
- Alessandra Iozzi
- Coordinator
- Lisa Ricci

Learn the basics of symmetric spaces.

The lecture will **start on Wednesday, 22nd of February 2023** and takes place every week on

Here there are the Lie groups lecture notes of Prof A. Iozzi (HS 21).

Exercise sessions take place on Thursdays every second week in ** HG G 19.1 ** from ** 12-14**. The first exercise session will be on Thursday the 2nd of March.

The exercise sheet will be uploaded on this page. The exercise sheet k will be uploaded on Friday of week 2k - 1 and it will be due on Thursday of week 2k + 1.

**Please, upload your solution via the SAM upload tool.**

In order to access the website you will need a NETHZ-account and you will have to be connected to the ETH-network. From outside the ETH network you can connect to the ETH network via VPN. Here are instructions on how to do that.

Make sure that your solution is ** one PDF file** and that its file name is formatted in the following way:

` solution_<number of exercise sheet>_<your last name>_<your first name>.pdf `

**Example**:
` solution_2_Surname_Name.pdf`

.

exercise sheet | due by | upload link | solutions | comments |
---|---|---|---|---|

Exercise sheet 1 | 9.03.22 | upload ex sheet 1 | Solution 1 | |

Exercise sheet 2 | 23.03.22 | upload ex sheet 2 | Solution 2 | |

Exercise sheet 3 | 06.04.23 | upload ex sheet 3 | Solution 3 | |

Exercise sheet 4 | 27.04.23 | upload ex sheet 4 | Solution 4 | |

Exercise sheet 5 | 11.05.22 | upload ex sheet 5 | Solution 5 | |

Exercise sheet 6 | upload ex sheet 6 |

Here are some lecture notes (FS 18).

- W. Boothby, An introduction to differentiable manifolds and Riemannian geometry (Academic Press, 2002)
- M. do Carmo, Riemannian geometry (Birkhäuser, 1992)
- M. Berget, A panoramic view of Riemannian geometry (Springer, 2003)
- S. Helgason, Differential geometry, Lie groups and symmetric spaces (Academic Press, 1978)
- G. Link, An introduction to globally symmetric spaces, pdf
- P. Eberlein, Geometry of nonpositively curved manifolds (Chicago University Press, 1996)
- J. Maubon, Riemannian symmetric spaces of the non-compact type: differential geometry, pdf