6 papers
Hypertoric Hitchin systems and Kirchhoff polynomials
Michael Groechenig, Michael McBreen
We define a formal algebraic analogue of hypertoric Hitchin systems, whose complex-analytic counterparts were defined by Hausel-Proudfoot. These are algebraic completely integrable…
Geometric stabilisation via p-adic integration
Michael Groechenig, Dimitri Wyss, Paul Ziegler
In this article we give a new proof of Ngô's Geometric Stabilisation Theorem, which implies the Fundamental Lemma. This is a statement which relates the cohomology of Hitchin fibre…
De Rham epsilon factors for flat connections on higher local fields
Michael Groechenig
This note is a companion to the author's "Higher de Rham epsilon factors". Using Grayson's binary complexes and the formalism of -Tate spaces we develop a formalism of graded ep…
Higher de Rham epsilon factors
Michael Groechenig
This article is devoted to the study of a higher-dimensional generalisation of de Rham epsilon lines. To a holonomic -module on a smooth variety and a generic tuple of $…
The -structure of the index map
Oliver Braunling, Michael Groechenig, Jesse Wolfson
Let be a local field with residue field . The classifying space of comes canonically equipped with a map to the delooping of the -theory space of . Passing t…
Cohomologically rigid local systems and integrality
Hélène Esnault, Michael Groechenig
We prove that the monodromy of an irreducible cohomologically complex rigid local system with finite determinant and quasi-unipotent local monodromies at infinity on a smooth quasi…