Geometry and Quantum Field Theory
2022/2/16-6/1 13:30-16:20, every Wednesday
Lecture Room B, 4th Floor, The 3rd General Building, NTHU
Broadcasting in R. 509, Cosmology Building, NTU
Speaker:
Siye Wu 吳思曄 (National Tsing Hua University)
Organizer:
Nan-Kuo Ho 何南國 (National Tsing Hua University)
Background & Purpose
Recent developments in mathematical physics saw not only the traditional applications of mathematics in physics problems but also a remarkable effectiveness of physics in providing motivations and ideas in the discovery and understanding of mathematical structures. The goals of this course are to treat certain topics in geometry, topology and gauge theory in a unified approach and to help students appreciate some of the spectacular progresses and open problems with both points of view.
Outline
There are two aspects. In mathematics, after a review in algebraic topology and differential geometry, the course covers the geometry and topology of fibre bundles, spin and spin-c structures, fourmanifolds and their invariants. In physics, after a review in classical electromagnetism, the course covers non-Abelian gauge theory in various spacetime dimensions, with or without supersymmetries, their quantisation, anomalies, dualities and relations to the geometry of four-manifolds. The lectures are given by Prof. Siye Wu of NTHU.