UNIVERSITÄT LEIPZIG
INSTITUT FÜR THEORETISCHE PHYSIK

Lecture Course ''Mathematical Physics 1''

Summer Semester 2015

Prof. Dr. Gerd Rudolph


Contents
Differentiable manifolds
Tensor bundles and tensor fields
Vector fields
Differential forms and Hodge-duality
Lie groups and Lie group actions
Symplectic algebra and geometry
Hamiltonian systems
Hamiltonian systems with symmetries

Time and place
Wednesday 3:15 p.m. - 4:45 p.m. and Thursday 5 p.m. - 6:30 p.m. at Kleiner Hörsaal Linnestraße

Tutorial (Dr. Matthias Schmidt)
Monday 3:15 p.m. - 4:45 p.m.

Script (password required)

Oral examinations
July 28
12:00 Onirban M. Islam
September 30
10:00 Maximilian Quaas
10:45 Ricardo Rose
11:30 Sebastian Knappe
12:15 Fabio Müller
13:00 Ronja Stübel
14:00 Benjamin Schlesinger
14:45 Danylo Uzhogov
15:30 Richard Neidhardt
16:15 J.R.S. Bhat

Preparation for exam
July 22, 12:00, room 317B
September 21, 12:00, room 317B

Seminar
Matching the lecture, the advanced seminar "Quantum Field Theory and Gravitation" centers around integrable systems.