Notes
I write some notes, which reflect my understanding and interests on automorphic representation theory and its related fields.
Algebraic groups and Lie groups:
Smooth affine spherical varieties
Harmonic analysis:
Explicit Plancherel formula, Asai Rankin-Selberg integrals
Explicit Plancherel formula for the space of symplectic forms
Representation theory and arithmetic:
Calculations and interesting point of views:
Koszul duality, Categorical Plancherel formula
Moment maps and geometric invariant theory
An Euler system of Heegner type
Schwartz space of basic affine space
Classics:
Luna’s theory of spherical systems, Primitive wonderful varieties
Spherical functions on a group of a p-adic type
Weyl integration formula, Plancherel formula for SL2