I will review present two formulas for the characters of representations of reductive algebraic groups in positive characteristic p. Both formulas involve certain polynomials ("p-Kazhdan-Lusztig polynomials") which measure the failure of the decomposition theorem for resolutions of affine Schubert varieties, when the sheaf coefficients are of characteristic p. These formulas are proven under mild bounds on p (e.g. p ≥ 2 × Coxeter number) and are expected to hold uniformly. (This is joint work with S. Riche, with parts also joint with P. Achar and S. Makisumi.)
De Ofer Gabber
De Geordie Williamson
De Mark Kisin
De Yves André
De Dennis Gaitsgory
De Ofer Gabber
De Yakov Varshavsky
De Fabrice Orgogozo
De Takeshi Saito
De Ofer Gabber
De Albert Schwarz
De Juan Camilo Arosemena Serrato
De Francesca Arici
De Amine Marrakchi
