29 citations · 29 across the 9 of their papers we have counts for
15 papers
Functoriality of logarithmic Hochschild homology of log smooth pairs
Ádám Gyenge, Márton Hablicsek, Leo Herr
The construction of a satisfactory dg category of logarithmic coherent sheaves remains a central open problem in logarithmic geometry. In this paper, we propose an alternative corr…
Logarithmic Hochschild (co)homology of logarithmic orbifolds
Marton Hablicsek, Leo Herr, Francesca Leonardi
Recently, the authors of this paper introduced logarithmic Hochschild (co)homology of logarithmic spaces in a geometric way using formality of derived intersections. In this paper,…
Motivic (Representation) Stability of Representation Varieties and Character Stacks
Márton Hablicsek, Jesse Vogel
In this paper, we introduce the notions of motivic representation stability that is an algebraic counterpart of the notion of representation stability. In the process, we also intr…
Arithmetic-Geometric Correspondence of Character Stacks via Topological Quantum Field Theory
Ángel González-Prieto, Márton Hablicsek, Jesse Vogel
In this paper, we introduce Topological Quantum Field Theories (TQFTs) generalizing the arithmetic computations done by Hausel and Rodríguez-Villegas and the geometric construction…
Logarithmic Hochschild co/homology via formality of derived intersections
Márton Hablicsek, Leo Herr, Francesca Leonardi
We define log Hochschild co/homology for log schemes that behaves well for simple normal crossing pairs or toroidal singularities. We prove a Hochschild-Kostant-Rosenberg i…
Finitely Presentable Higher-Dimensional Automata and the Irrationality of Process Replication
Henning Basold, Thomas Baronner, Márton Hablicsek
Higher-dimensional automata (HDA) are a formalism to faithfully model the behaviour of concurrent systems. For ordinary automata, there is a correspondence between regular expressi…