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401-4003-00L 7 Credits DR , MSC D-CHAB , D-MAVT , D-MTEC , D-MATH , D-BIOL

Lie Algebra Cohomology and Index Theory

Lecturers & Examiners: Prof. em. Dr. Giovanni Felder
VVZ CR n/a

Last Updated: 2026-02-05 15:06:38

Abstract

Lie algebras, derivations, extensions - Cohomology of Lie algebras with first applications and relation to differential geometry - The cohomology ring of gl_N - The Lie algebra of formal vector fields and its cohomology - Hochschild homology of the algebra of differential operators - Formal differential geometry - The Riemann-Roch-Hirzebruch formula.

General Information

Language
German
Levels
DR , MSC

Examination

Type
session examination
Mode
oral 30 minutes

Course Components

Type Title Time & Place Hours
lecture Lie Algebra Cohomology and Index Theory
  • Mon 13:15-15:00 (HG E 22)
  • Mon 17:15-19:00 (HG E 21)
2 h weekly
exercise Lie Algebra Cohomology and Index Theory
  • By Appointment None-None
1 h weekly

Offered In