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Mod p representations and pro-p-Iwahori Hecke algebra

Hold Date 2019-02-14 16:00~2019-02-14 17:00

Place Lecture Room M W1-C-512, West Zone 1, Ito campus, Kyushu University

Object person  

Speaker Noriyuki ABE (The University of Tokyo)

We proved a classification theorem of admissible irreducible mod p representations in terms of supersingular representations. In the proof, a pro-p-Iwahori Hecke algebra has an important role. I will talk about some relations between mod p representations and modules of pro-p-Iwahori Hecke algebra. Some parts of the talk are based on joint works with F. Herzig, G. Henniart and M.-F. Vigneras.