6 papers
Locally analytic representations in mixed characteristic via stacks
Maximilian Hauck
For any -adic Lie group , we construct a group stack over the -adic branch of Clausen--Scholze's stack of norms such that quasicoherent sheaves on its clas…
The Abel--Jacobi map over the twistor- and real local class field theory
Saverio Caleca, Maximilian Hauck
We study the Abel--Jacobi map over the twistor- in the context of Scholze's geometrisation of the real local Langlands correspondence. In a similar spirit to a result…
Rational analytic syntomic cohomology
Maximilian Hauck
We define and study the rational analytic syntomification of a partially proper rigid-analytic variety over . We establish Poincaré duality and…
An arithmetic étale-crystalline comparison with coefficients in crystalline local systems
Maximilian Hauck
We use the stacky approach to -adic cohomology theories recently developed by Drinfeld and Bhatt--Lurie to generalise a comparison theorem between the rational crystalline cohom…
A stacky comparison of the Hodge and Nygaard filtrations
Maximilian Hauck
We use the approach to -adic cohomology theories via stacks recently developed by Drinfeld and Bhatt--Lurie to formulate a stacky version of a comparison result between the Nyga…
A stacky approach to -adic Hodge theory
Maximilian Hauck
We use the stacky approach to -adic cohomology theories recently developed by Drinfeld and Bhatt--Lurie to generalise known comparison theorems in -adic Hodge theory so as to…