Introduction
Langlands program very briefly
Questions
Basic concepts and ideas related to the number theoretic Langlands program
Correspondence between ndimensional 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)
Some remarks about the representations of Gl(n) and of more general reductive groups
TGD inspired view about Langlands program
What is the Galois group of algebraic closure of rationals?
Physical representations of Galois groups
What could be the TGD counterpart for the automorphic representations?
Superconformal invariance, modular invariance, and Langlands program
What is the role of infinite primes?
Could Langlands correspondence, McKay correspondence and Jones inclusions relate to each other?
Technical questions related to Hecke algebra and Frobenius element
Langlands conjectures and the most recent view about TGD
TaniyamaShimuraWeil conjecture from the perspective of TGD
Unified treatment of number theoretic and geometric Langlands conjectures in TGD framework
About the structure of Yangian algebra
Summary and outlook
Appendix
Hecke algebra and TemperleyLieb algebra
Some examples of bialgebras and quantum groups
