1998 Moursund Lectures at the University of Oregon

Abstract

These informal notes are closely based on a series of eight lectures given by J.-P. Serre at the University of Oregon in October 1998. Professor Serre gave two talks per week for four weeks. The first talk each week was concerned with constructing embeddings of finite groups, especially $\PSL_2(p)$ and $\PGL_2(p)$, into Lie groups. The second talk each week was about generalizations of the notion of complete reducibility in group theory, especially in positive characteristic. The notes are divided into two parts, one for each of the topics of the lecture series. At the end of the notes, there is a short list of references as a guide to further reading.

arXiv comment32 pages

Cited by in corpus (8)

• A Geometric Approach to Complete Reducibility
• A note on closed subgroups of compact Lie groups
• Complete Reducibility and Conjugacy classes of tuples in Algebraic Groups and Lie algebras
• On a question of Külshammer for representations of finite groups in reductive groups
• Elementary abelian 2 subgroups of compact Lie groups
• On the semisimplicity of reductions and adelic openness for $E$-rational compatible systems over global function fields
• Separability and complete reducibility of subgroups of the Weyl group of a simple algebraic group of type $E_7$
• On Tits' Centre Conjecture for Fixed Point Subcomplexes