Time: every Friday 14:00 ~ 16:00 & Place: D2.314 (media room)
Organizers: Helge Glöckner, Milan Niestijl, Kyungmin Rho
Part 1: Lagrangian field theory
∎ April 11: [Milan Niestijl] Introduction to Lagrangian field theory
∎ April 18: No seminar - Easter holiday
∎ April 25: [Milan Niestijl] Symmetries in Lagrangian field theory
∎ May 2: [Kyungmin Rho] Yang-Mills theory 1
∎ May 9: [Kyungmin Rho] Yang-Mills theory 2
∎ May 16: [Ali Suri] Einstein’s field equations via a manifold of Riemannian metrics
∎ May 23: [Praful Rahangdale] Poisson geometry in infinite dimension
∎ May 30: [Milan Niestijl] Hamiltonian formalism
Part 2: Quantization
∎ June 6: No seminar
∎ June 13: [David Kern] Geometric quantization
∎ June 20: [David Kern] Deformation quantization
∎ June 27 (09:00~11:00): [Praful Rahangdale] Representation of SU(2)
∎ July 4: [Kyungmin Rho] Spinor bundles
∎ July 11 (09:00~11:00): [Milan Niestijl] QED 1
∎ July 18: [Praful Rahangdale] Spin in quantum mechanics, and the description of the hydrogen atom
∎ July 29 (Tue): [Milan Niestijl] QED 2
Prerequisite: General undergraduate level mathematics + Differential geometry at graduate level
References:
∎ [Jost] Riemannian Geometry and Geometric Analysis
∎ [Frankel] The Geometry of Physics
∎ [Blohmann] Lagrangian Field Theory
∎ [Prakash] Mathematical Perspectives on Theoretical Physics
∎ [Kirillov] Geometric Quantization
∎ [Deligne et al.] Quantum Fields and Strings: A course for Mathematicians
∎ [Moro, PhD thesis] Functional Formalism for Algebraic Classical and Quantum Field Theories
∎ [Rejzner, PhD thesis] Batalin-Vilkovisky formalism in locally covariant field theory