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- Academic unit or major
- Graduate major in Mathematics
- Instructor(s)
- Abe Noriyuki
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Intensive ()
- Group
- -
- Course number
- MTH.E531
- Credits
- 2
- Academic year
- 2019
- Offered quarter
- 1Q
- Syllabus updated
- 2019/3/18
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
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Course description and aims
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.
Student learning outcomes
Understanding the classification theorem of irreducible admissible mod p representations. Can do calculations related to pro-p-Iwahori Hecke algebra.
Keywords
p-adic reductive group, mod p representations, irreducible representations.
Competencies that will be developed
| ✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Class flow
This is a standard lecture course.
Course schedule/Required learning
| 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 representations | Details will be provided during each class session. |
Textbook(s)
None required
Reference books, course materials, etc.
none
Assessment criteria and methods
Assignments (100%).
Related courses
- MTH.A301 ： Algebra I
- MTH.A302 ： Algebra II
- MTH.A331 ： Algebra III
Prerequisites (i.e., required knowledge, skills, courses, etc.)
None required
