On the wonderful compactification

Abstract

These lecture notes explain the construction and basic properties of the wonderful compactification of a complex semisimple group of adjoint type. An appendix discusses the more general case of a semisimple symmetric space.

28 pages

References in corpus (2)

• Rational points on compactifications of semi-simple algebraic groups
• On the variety of Lagrangian subalgebras

Cited by in corpus (10)

• Compactifications of reductive groups as moduli stacks of bundles
• Geometry of second adjointness for p-adic groups
• Bethe subalgebras in Yangians and the wonderful compactification
• Character D-modules via Drinfeld center of Harish-Chandra bimodules
• The Belkale-Kumar cup product and relative Lie algebra cohomology
• Wonderful asymptotics of matrix coefficient D-modules
• Zero-loci of Brauer group elements on semi-simple algebraic groups
• Hecke Modifications, Wonderful Compactifications and Moduli of Principal Bundles
• Peterson conjecture via Lagrangian correspondences and wonderful compactifications
• Residues in group completions and the Cech cohomology of BG