Geometric Invariant Theory
Invariant theory has been the topic of intensive study for centuries. In the last thirty years, it has gained new importance through the work of D. Ginzburg on various integral representations of L-functions. In this course, we will present some aspects of invariant theory that are most relevant to the study of global L-functions.
Lecturer
Date
8th October ~ 24th December, 2024
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Tuesday | 08:50 - 12:15 | A14-201 | ZOOM 06 | 537 192 5549 | BIMSA |
Prerequisite
Basic theory on Lie groups, Basic algebraic geometry
Reference
1.Wallach, N. R. (2017). Geometric invariant theory. Universitext. Cham: Springer.
2.Kac, V. G. (1980). Some remarks on nilpotent orbits. Journal of algebra, 64(1), 190-213.
3.Brion, M. (1983). Invariants d'un sous-groupe unipotent maximal d'un groupe semi-simple. In Annales de l'institut Fourier (Vol. 33, No. 1, pp. 1-27).
4.Kimura, T. (2003). Introduction to prehomogeneous vector spaces (No. 215). American Mathematical Soc.
2.Kac, V. G. (1980). Some remarks on nilpotent orbits. Journal of algebra, 64(1), 190-213.
3.Brion, M. (1983). Invariants d'un sous-groupe unipotent maximal d'un groupe semi-simple. In Annales de l'institut Fourier (Vol. 33, No. 1, pp. 1-27).
4.Kimura, T. (2003). Introduction to prehomogeneous vector spaces (No. 215). American Mathematical Soc.
Video Public
No
Notes Public
Yes
Lecturer Intro
Dr. DENG Taiwang has joined BIMSA in November 2022 as an Assistant Professor. His research interests are in the Langlands program (broadly speaking, the arithmetic, analytic and representation aspects of it). He obtained a Phd in Mathematics from the University of Paris 13. Previously, he has held the postdoctorial positions in Bonn University, the Max Planck Institute of Mathematics in Bonn and Tsinghua University.