1. Introduction

    1. Langlands program very briefly

    2. Questions

  2. Basic concepts and ideas related to the number theoretic Langlands program

    1. Correspondence between n-dimensional representations of Gal(F/F) and representations of GL(n,A_F) in the space of functions in GL(n,F)\GL(n,A_F)

    2. Some remarks about the representations of Gl(n) and of more general reductive groups

  3. TGD inspired view about Langlands program

    1. What is the Galois group of algebraic closure of rationals?

    2. Physical representations of Galois groups

    3. What could be the TGD counterpart for the automorphic representations?

    4. Super-conformal invariance, modular invariance, and Langlands program

    5. What is the role of infinite primes?

    6. Could Langlands correspondence, McKay correspondence and Jones inclusions relate to each other?

    7. Technical questions related to Hecke algebra and Frobenius element

  4. Langlands conjectures and the most recent view about TGD

    1. Taniyama-Shimura-Weil conjecture from the perspective of TGD

    2. Unified treatment of number theoretic and geometric Langlands conjectures in TGD framework

    3. About the structure of Yangian algebra

    4. Summary and outlook

  5. Appendix

    1. Hecke algebra and Temperley-Lieb algebra

    2. Some examples of bi-algebras and quantum groups