Summer School on Mathematical Physics

Contribution List

3. Analyticity, Unitarity, Crossing: An Introduction

Prof. B. Ananthanarayan (IISc Bengaluru)

The course aims to systematically build up from first principles, and covers key topics including: • pion-pion scattering, • form-factor analysis, • the Roy equations for pion scattering, • the Froissart bound,
with connections to results from effective field theory. Mathematica based support will be provided in tutorial sessions and many problems will be solved, to get (on hands)...

2. Differential Geometry for Physicists

Prof. T. R. Ramadas (CMI)

Manifolds, Vector Bundles and Connections, Examples: bundles and connections associated to the Dirac monopole and SU(2) instantons, Chern Classes and Chern-Weil theory. Riemannian geometry, Euler characteristic, Gauss-Bonnet.

1. Feynman integrals and the method of differential equation

Prof. Narayan Rana (NISER Bhubaneswar)