A geometric interpretation of Newton strata

2018/10/17 by He, Xuhua, Nie, Sian
#20G25 #22E67 #Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1810.07479

Abstract

The Newton strata of a reductive p-adic group are introduced in \citeNewton and play some role in the representation theory of p-adic groups. In this paper, we give a geometric interpretation of the Newton strata.

Related

• Dimensions of Newton strata in the adjoint quotient of reductive groups
• Geometric structure in the representation theory of p-adic groups
• Newton strata in the loop group of a reductive group
• Geometric structure in the principal series of the p-adic group G₂
• Closure relations of Newton strata in Iwahori double cosets