Geodesic
An Iwahori theoretic mod $p$ local Langlands correspondence
Canadian mathematical bulletin, Tome 68 (2025) no. 3, pp. 805-817

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DOI

We extend a comparison theorem of Anandavardhanan–Borisagar between the quotient of the induction of a mod $p$ character by the image of an Iwahori–Hecke operator and compact induction of a weight to the case of the trivial character. This involves studying the corresponding non-commutative Iwahori–Hecke algebra. We use this to give an Iwahori theoretic reformulation of the (semi-simple) mod $p$ local Langlands correspondence discovered by Breuil and reformulated functorially by Colmez. This version of the correspondence is expected to have applications to computing the mod $p$ reductions of semi-stable Galois representations.
DOI : 10.4153/S0008439524000444
Mots-clés : Iwahori, local Langlands correspondence, Hecke algebra, mod p 
Chitrao, Anand. An Iwahori theoretic mod $p$ local Langlands correspondence. Canadian mathematical bulletin, Tome 68 (2025) no. 3, pp. 805-817. doi: 10.4153/S0008439524000444
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     title = {An {Iwahori} theoretic mod $p$ local {Langlands} correspondence},
     journal = {Canadian mathematical bulletin},
     pages = {805--817},
     year = {2025},
     volume = {68},
     number = {3},
     doi = {10.4153/S0008439524000444},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000444/}
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