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.
✔ Specialist skills | Intercultural skills | Communication 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 |
None required
none
Assignments (100%).
None required