Misha Verbitsky

Université Libre de Bruxelles

MATH-F-303: Algebra and geometry II

Problem session: Wednesday 14:00-16:00 P.OF.2070
Lectures: Thursday 10:00-12:00 P.OF.2080

Slides:

• Lecture 1: tensor product (06.10.2016)
• Lecture 2: algebras: definition and examples (13.10.2016)
• Lecture 3: tensor algebra (20.10.2016)
• Lecture 4: Grassmann algebra (27.10.2016)
• Lecture 5: Representations of finite groups (10.11.2016)
• Lecture 6: Grassmann algebra revisited (17.11.2016)
• Lecture 7: Lie groups (24.11.2016)
• Lecture 8: Orthogonal group (01.12.2016)
• Lecture 9: Self-adjoint operators (08.12.2016)
• Lecture 10: Polar decomposition and the ruled hyperboloid (15.12.2016)

• Groups
• Rings and fields

• Test assignment 1 (21.09.2016) (results)
• Test assignment 2 (28.09.2016) (results)
• Class assignment 3 (05.10.2016)
• Class assignment 4 (12.10.2016)
• Simple test assignment 5 (19.10.2016) (results)
• Class assignment 6 (26.10.2016)
• Simple test assignment 7 (9.11.2016) (results)
• Test assignment 8 (16.11.2016) (results)
• Test assignment 9 (23.11.2016) (results)
• Class assignment 10 (30.11.2016)
• Test assignment 11 (06.12.2016) (results)
• Total score for all sessions.

• First term exam (14.12.2016)
• Assignments and marks (10.02.2017)
• Final marks (for classwork and exams).

GEOMETRY AT THE ULB differential geometry at the Université libre de Bruxelles