Maximilian Hauck

activity

20242026

collaborators

5 papers

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 PoincarÃ© duality an…

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.AG2025

A stacky comparison of the Hodge and Nygaard filtrations

Maximilian Hauck

We use the approach to $p$ -adic cohomology theories via stacks recently developed by Drinfeld and Bhatt--Lurie to formulate a stacky version of a comparison result between the Nyga…

math.AG2025

Maximilian Hauck

We use the stacky approach to $p$ -adic cohomology theories recently developed by Drinfeld and Bhatt--Lurie to generalise a comparison theorem between the rational crystalline cohom…

math.AG2024

A stacky approach to $p$ -adic Hodge theory

Maximilian Hauck

We use the stacky approach to $p$ -adic cohomology theories recently developed by Drinfeld and Bhatt--Lurie to generalise known comparison theorems in $p$ -adic Hodge theory so as to…

Rational analytic syntomic cohomology

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

A stacky comparison of the Hodge and Nygaard filtrations

An arithmetic Ã©tale-crystalline comparison with coefficients in crystalline local systems

A stacky approach to p-adic Hodge theory

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

A stacky approach to $p$ -adic Hodge theory