130 citations · 371 across the 21 of their papers we have counts for
22 papers
Dirac geometry II: Coherent cohomology
Lars Hesselholt, Piotr Pstragowski
Whatever it is that animates anima and breathes life into higher algebra, this something leaves its trace in the structure of a Dirac ring on the homotopy groups of a commutative a…
Topological cyclic homology and the Fargues-Fontaine curve
Lars Hesselholt
The purpose of this expository paper is to explain how the Fargues-Fontaine curve and its decomposition into a punctured curve and the formal neighborhood of the puncture naturally…
Dirac geometry I: Commutative algebra
Lars Hesselholt, Piotr Pstragowski
The homotopy groups of a commutative algebra in spectra form a commutative algebra in the symmetric monoidal category of graded abelian groups. The grading and the Koszul sign rule…
Topological cyclic homology
Lars Hesselholt, Thomas Nikolaus
This survey of topological cyclic homology is a chapter in the Handbook on Homotopy Theory. We give a brief introduction to topological cyclic homology and the cyclotomic trace map…
Algebraic -theory of planar cuspidal curves
Lars Hesselholt, Thomas Nikolaus
In this paper, we evaluate the algebraic -groups of a planar cuspidal curve over a perfect -algebra relative to the cusp point. A conditional calculation of these…
On the K-theory of division algebras over local fields
Lars Hesselholt, Michael Larsen, Ayelet Lindenstrauss
Let be a complete discrete valuation field with finite residue field of characteristic , and let be a central division algebra over of finite index . Thirty years…