The mod p representation (representations defined over characteristic p field) theory is getting important mainly because of mod p Langlands correspondence. In this lecture, I will talk about mod p representaiton theoy and representation theory of pro-p-Iwahori Hecke algebra.
Understanding the classification theorem of irreducible admissible mod p representations. Can do calculations related to pro-p-Iwahori Hecke algebra.
p-adic reductive group, mod p renresentations, irreducible representations.
|Intercultural skills||Communication skills||Specialist skills||Critical thinking skills||Practical and/or problem-solving skills|
This is a standard lecture course.
|Course schedule||Required learning|
|Class 1||(1) Hecke algebra (2) The structure of pro-p-Iwahori Hecke algebra (3) Representation theory of pro-p-Iwahori Hecke algebra (4) Relations with mod p representations (5) Classification of irreducible admissible mod p renresentations.||Details will be provided during each class session|