Nummer | Titel | ECTS | Umfang | Dozierende |
---|
401-3201-00L | Algebraic Groups | 8 KP | 4G | P. D. Nelson |
Kurzbeschreibung | 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. |
Lernziel | |
Literatur | A. L. Onishchik and E.B. Vinberg, Lie Groups and Algebraic Groups |
Voraussetzungen / Besonderes | 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 KP | 1K | Ö. Imamoglu,
P. S. Jossen,
E. Kowalski,
P. D. Nelson,
R. Pink,
G. Wüstholz |
Kurzbeschreibung | Forschungskolloquium |
Lernziel | Vorträge über neue Themen aus der Forschung. |
Inhalt | Forschungsseminar in Algebra, Zahlentheorie und Geometrie, richtet sich insbesondere an Mitarbeiterinnen und Mitarbeiter sowie Doktorandinnen und Doktoranden. |