Contents  
Lecture 1. Introduction  
Lecture 3. Definitions related to étale $\varphi$-modules  
Lecture 4. Moduli stacks of $\varphi$-modules  
Lecture 5. Stacks of $(\varphi,\Gamma)$-modules  
Lecture 8. Crystalline Lifts  
Lecture 9. Geometric Breuil–Mézard  
Lecture 10. Bernstein Centers, Moduli Spaces, and the Categorical $p$-adic Langlands program