Here I will add notes of the seminar that I am planning to conduct in School of Mathematics, IISER Thiruvananthapuram, India.
  1. First lecture is expected to happen on 14 August 2019.
  2. ---
Some terms which I want to convey the meaning of in this Seminar.
  1. Manifold.
  2. Differential forms on Manifolds; pullbacks and differential of a Differential form.
  3. Lie group.
  4. Lie algebra of Lie group.
  5. Cohomology of Manifolds / Cohomology of Lie groups.
  6. Principal/Vector bundle.
  7. Connection (on principal/vector bundle).
  8. Curvature (of Connection on principal/vector bundle).
  9. Holonomy group.
  10. Ambrose-Singer theorem.
  11. Characteristic classes (Euler/Chern classes).
Lecture notes/Articles :
  1.  The Topology of Fiber Bundles --- Lecture Notes --- Ralph L. Cohen
  2. WHAT IS A CONNECTION? --- TIMOTHY E. GOLDBERG
Books:
  1. The Topology of Fibre Bundles by Steenrod
  2. Foundations of Differentiable Manifolds and Lie Groups by Frank Warner
  3. Foundations of Differential Geometry by Kobayashi and Nomizu
  4. Introduction to Smooth Manifolds by John Lee
  5. Geometry of Differential forms by Shigeyuki Morita
  6. Topics in Differential Geometry by Peter W. Michor
  7. Differential Geometry - Connections, Curvature, and Characteristic Classes by Loring Tu
  8. An Introduction to Manifolds by Loring Tu
  9. Differential Geometry, Lie Groups, and Symmetric Spaces by Sigurdur Helgason
  10. Differential Forms in Algebraic Topology by Bott and Tu
  11. A Geometric Approach to Differential Forms by David Bachman
  12. Modern Differential Geometry for Physicists 2nd Edition by Chris J Isham
  13. Differential Forms and Connections by R. W. R. Darling
  14. Differential Forms - A Heuristic Introduction by M. Schreiber
  15. From Calculus to Cohomology by Madsen and Tornehave
  16. Manifolds, Sheaves, and Cohomology by Torsten Wedhorn
  17. Principal Bundles : The Classical Case by Stephen Bruce Sontz
  18. Introduction to the Theory of Lie Groups by Roger Godement
  19. Differential Geometry: Bundles, Connections, Metrics and Curvature by Clifford Henry Taubes
YouTube videos :
  1. Fredric Schuller's YouTube channel
MathOverflow/MathStackExchange questions/user pages:
  1. John M. Lee 's MathStackExchange page