# PhD-Seminar

Here I collect some information and material on instances of the (unofficial) PhD-seminar of the ESAGA at the University Duisburg-Essen that I helped organizing.

# WS2022/2023: Algebraic Groups

This seminar is organized by Niklas Müller and myself.

**Time:**Wednesday from 4-6 pm. The first meeting is on the 12th of October.**Place:**Seminar room N-U-4.05 in the WSC.

Here is a link to the current version of the seminar program.

## Notes:

- Talk 1: Generalities 1: Sheaves, Algebraic Groups, Basic Constructions (by Anneloes Viergever).
- Talk 2: Generalities 2: More Basic Constructions, Hopf Algebras (by Ludvig Modin).
- Talk 3: Generalities 3: Faithful Flatness for Hopf Algebras, Representations of Algebraic Groups (by Guillermo Gamarra).
- Talk 4: Generalities 4: Algebraic Group Actions, Quotients of Algebraic Groups (by Pietro Gigli).
- Talk 5: Solvable Groups 1 (by Riccardo Tosi).
- Talk 6: Diagonalizable Groups (by Giulio Marazza).
- Talk 7: Unipotent Groups (by Federica Santi).
- Talk 8: Solvable Groups 2 (by Niklas Müller).
- Talk 10: Borel Subgroups and Maximal Tori 2 (by Lukas Bröring)
- Talk 11: Reductive Groups 1: Reductive Groups of Semisimple Rank 1 (by Luca Marannino)
- Talk 13: Abstract Root Data (by Bence Forrás)

# WS2021/2022: Shimura Varieties

The seminar is organized by Aryaman Patel and myself.

**Time:**Monday from 2-4 pm. The first meeting is on the 11th of October.**Place:**Seminar room S-U-4.02 in the WSC.

Here is a link to the current version of the seminar program.

## Notes:

- Talk 1: Algebraic Groups and Lie Groups (by Paulina Fust).
- Talk 2: Hermitian Symmetric Domains (by Ravjot Kohli).
- Talk 3: Locally Symmetric Varieties (by Alessandro D’Angelo).
- Talk 4: Connected Shimura Varieties (by Robin Witthaus).
- Talk 6: Shimura Varieties 2 (by Jonas Franzel).
- Talk 8: Hodge Structures and Abelian Schemes over \(\mathbf{C}\) (by Anneloes Viergever).
- Talk 9: Siegel Modular Variety 1 (by Ludvig Modin).
- Talk 10: Canonical Models of Shimura Varieties 1 (by Marc Kohlhaw).
- Talk 11: Canonical Models of Shimura Varieties 2 (by Chirantan Chowdhury).
- Talk 12: Siegel Modular Variety 2 (by Luca Marannino).