The Categories of Lubin-Tate and Drinfeld Bundles

2025/03/31 by Taylor, James · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2503.24221

Abstract

For a finite extension F of ℚ_p and n ≥ 1, we show that the category of Lubin-Tate bundles on the (n-1)-dimensional Drinfeld symmetric space is equivalent to the category of finite-dimensional smooth representations of the group of units of the division algebra of invariant 1/n over F.

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• Character Theory for Semilinear Representations

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