Published on *Max-Planck-Institut für Mathematik* (http://www.mpim-bonn.mpg.de)

Posted in

- Vortrag [1]

Speaker:

Rudolf Tange
Zugehörigkeit:

University of Leeds
Datum:

Fre, 2018-11-23 10:30 - 11:30 $k$ be an algebraically closed field of characteristic $p > 0$ and let $G$ be a connected reductive group over $k$ with Lie algebra ${g}$. Consider the rings $k[G]$ and $k[{g}]$ of regular functions on $G$ and ${g}$ as $G$-modules via the conjugation action. They have been studied extensively, for example in Kostant’s 1963 paper. I will discuss the result that, under some mild assumptions, the first restricted cohomology of these modules is zero. After this I will discuss the problem of describing the invariants in a certain finite dimensional quotient of $k[{g}]$.

**Links:**

[1] http://www.mpim-bonn.mpg.de/de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/de/node/3444

[3] http://www.mpim-bonn.mpg.de/de/node/8209