Maximilian Hauck

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20242026

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math.RT2026

Locally analytic representations in mixed characteristic via stacks

Maximilian Hauck

For any $p$ -adic Lie group $G$ , we construct a group stack $G^{la}$ over the $p$ -adic branch of Clausen--Scholze's stack of norms such that quasicoherent sheaves on its clas…

math.RT2026

The Abel--Jacobi map over the twistor- $P^{1}$ and real local class field theory

Saverio Caleca, Maximilian Hauck

We study the Abel--Jacobi map over the twistor- $P^{1}$ in the context of Scholze's geometrisation of the real local Langlands correspondence. In a similar spirit to a result…

math.AG2026

Rational analytic syntomic cohomology

Maximilian Hauck

We define and study the rational analytic syntomification $X^{Syn}$ of a partially proper rigid-analytic variety $X$ over $Q_{p}$ . We establish Poincaré duality and…

Locally analytic representations in mixed characteristic via stacks

The Abel--Jacobi map over the twistor-P1 and real local class field theory

Rational analytic syntomic cohomology

The Abel--Jacobi map over the twistor- $P^{1}$ and real local class field theory