1 citations · 2 across the 3 of their papers we have counts for
4 papers
Topology of Hybrid Analytifications
Thibaud Lemanissier, Matthew Stevenson
We investigate the topological properties of Berkovich analytifications over hybrid fields, that is a field equipped with the maximum of its native norm and the trivial norm. We pr…
On the geometric P=W conjecture
Mirko Mauri, Enrica Mazzon, Matthew Stevenson
We formulate the geometric P=W conjecture for singular character varieties. We establish it for compact Riemann surfaces of genus one, and obtain partial results in arbitrary genus…
A non-Archimedean Ohsawa-Takegoshi extension theorem
Matthew Stevenson
We prove an Ohsawa-Takegoshi-type extension theorem on the Berkovich closed unit disc over a complete non-Archimedean field. As an application, we establish a non-Archimedean analo…
Conformally Covariant Operators and Conformal Invariants on Weighted Graphs
Dmitry Jakobson, Thomas Ng, Matthew Stevenson +1
Let G be a finite connected simple graph. We define the moduli space of conformal structures on G. We propose a definition of conformally covariant operators on graphs, motivated b…