Introduction

1. About Langlands program

2. Why Langlands program could be relevant for TGD?

3. Quantum classical correspondence as a feedback loop between the classical space-time level and the quantal WCW level?

Langlands conjectures in the TGD framework?

1. How Langlands duality could be realized in TGD

2. Could quantum classical correspondence define an infinite hierarchy of abstractions?

3. About the p-adic variants of L-functions in the TGD framework

4. What about the p-adic variants of modular forms?

5. p-Adic thermodynamics and thermal zeta function

6. Could elementary particle vacuum functionals define analogs of L-functions?

7. Could the tessellations of H³ be obtained from those of H² by holography?

8. About the identification of L-group

9. A comment on M^8-H duality in fermion degrees of freedom in relation to Langlands duality

Appendix

1. Some notions of algebraic geometry and group theory

2. Some number theoretic notions