Math Ba WL20: Seminar Geometrie (Affine Group Schemes 2026)

Termin: Mi 16:40 - 18:10

Dozent: Ulrich Krähmer (ulrich.krähmer@tu-dresden.de)

Ort: WIL/C204

Sprechstunde: n.V. in WIL/B218 und auf https://bbb.tu-dresden.de/b/ulr-rk1-dgq-vel

Buch: W. C. Waterhouse, Introduction to Affine Group Schemes

Vorläufige Planung der Vorträge

Mira: 
  1.2 Representable Functors
  1.3 Natual Maps and Yoneda's Lemma
  
Mo:
  1.4 Hopf Algebras
  1.5 Translating from Groups to Algebras

Willi:
  2.1 Closed Subgroups and Homomorphisms
  2.2 Diagonalizable Group Schemes
  
Jonathan:
  2.3 Finite Constant Groups
  2.4 Cartier Duals

Jonathan II:
  3.1 Actions and Linear Representations
  3.2 Comodules
  
Paul:
  3.3 Finiteness Theorems
  
Björn:
  3.4 Realization as Matrix Groups
  3.5 Construction of All Representations (Tensor Categories)

Ash:
  4.1 Closed Sets in k^n (Algebraic sets)
  4.2 Algebraic Matrix Groups

Max & Vincent 
  4.3 Matrix Groups and Their Closures
  4.4 From Closed Sets to Functors
  4.5 Rings of Functions (Coordinate Rings)
  4.6 Diagonalizability