Number | Title | ECTS | Hours | Lecturers |
---|

**401-3201-00L** | **Algebraic Groups** | 8 credits | 4G | P. D. Nelson |

Abstract | Introduction to the theory of linear algebraic groups. Lie algebras, the Jordan Chevalley decomposition, semisimple and reductive groups, root systems, Borel subgroups, classification of reductive groups and their representations. |

Objective | |

Literature | A. L. Onishchik and E.B. Vinberg, Lie Groups and Algebraic Groups |

Prerequisites / Notice | Abstract algebra: groups, rings, fields, tensor product, etc.
Some familiarity with the basics of Lie groups and their Lie algebras would be helpful, but is not absolutely necessary.
We will develop what we need from algebraic geometry, without assuming prior knowledge. |

**401-5110-00L** | **Number Theory Seminar** | 0 credits | 1K | Ö. Imamoglu,
P. S. Jossen,
E. Kowalski,
P. D. Nelson,
R. Pink,
G. Wüstholz |

Abstract | Research colloquium |

Objective | Talks on various topics of current research. |

Content | Research seminar in algebra, number theory and geometry. This seminar is aimed in particular to members of the research groups in these areas and their graduate students. |