29 citations · 55 across the 18 of their papers we have counts for
23 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…
Virtual Classes of Character Stacks
Ángel González-Prieto, Márton Hablicsek, Jesse Vogel
In this paper, we extend the Topological Quantum Field Theory developed by González-Prieto, Logares, and Muñoz for computing virtual classes of -representation varieties of clos…
Virtual Classes of Representation Varieties of Upper Triangular Matrices via Topological Quantum Field Theories
Márton Hablicsek, Jesse Vogel
In this paper, we use a geometric technique developed by González-Prieto, Logares, Muñoz, and Newstead to study the -representation variety of surface groups $\mathfrak{X}_G(Σ_g…
Algebraic 3D Graphic Statics: reciprocal constructions
Márton Hablicsek, Masoud Akbarzadeh, Yi Guo
The recently developed 3D graphic statics (3DGS) lacks a rigorous mathematical definition relating the geometrical and topological properties of the reciprocal polyhedral diagrams…
Algebraic 3D Graphic Statics: Constrained Areas
Masoud Akbarzadeh, Marton Hablicsek
This research provides algorithms and numerical methods to geometrically control the magnitude of the internal and external forces in the reciprocal diagrams of 3D/Polyhedral Graph…
Non-Noetherian representation categories of generalized fields
Maël Denys, Márton Hablicsek, Giacomo Negrisolo
In this paper, we show that the categories of finitely generated projective -modules and -modules with morphisms being (splittable) injections are no…
Weak -Morita equivalences via quantization of the 1-shifted cotangent bundle
Marton Hablicsek
In this paper, we investigate the structure of the convergent quantization of the 1-shifted cotangent bundle of a smooth scheme over a perfect field of positive characteris…
Algebraic geometry over the residue field of the infinite place
Marton Hablicsek, Mate Lehel Juhasz
Nikolai Durov introduced the theory of generalized rings and schemes to study Arakelov geometry in an alternative algebraic framework, and introduced the residue field at the infin…
Derived intersections over the Hochschild cochain complex
Márton Hablicsek
The paper generalizes a result of Behrend-Fantechi and Baranovsky-Ginzburg to the 1-shifted cotangent bundle of a smooth scheme over the field of complex numbers. We…
Explicit computations of Hida families via overconvergent modular symbols
Evan P. Dummit, Márton Hablicsek, Robert Harron +3
In [Pollack-Stevens 2011], efficient algorithms are given to compute with overconvergent modular symbols. These algorithms then allow for the fast computation of -adic -funct…
Hodge theorem for the logarithmic de Rham complex via derived intersections
Márton Hablicsek
In a beautiful paper Deligne and Illusie proved the degeneration of the Hodge-to-de Rham spectral sequence using positive characteristic methods. In a recent paper Arinkin, Căldăra…
Formality of derived intersections and the orbifold HKR isomorphism
Dima Arinkin, Andrei Caldararu, Marton Hablicsek
We study when the derived intersection of two smooth subvarieties of a smooth variety is formal. As a consequence we obtain a derived base change theorem for non-transversal inters…
On the number of rich lines in high dimensional real vector spaces
Marton Hablicsek, Zachary Scherr
In this short note we use the polynomial partitioning lemma to strengthen a recent result of Dvir and Gopi about the number of rich lines in high dimensional Euclidean spaces. Our…
On the joints problem with multiplicities
Márton Hablicsek
In this short note we apply a recent theorem of Kollár about the arithmetic genus of curves to give a bound on the number of joints weighted by the multiplicities. This gives an af…
An incidence conjecture of Bourgain over fields of positive characteristic
Jordan S. Ellenberg, Marton Hablicsek
In this note we generalize a recent theorem of Guth and Katz on incidences between points and lines in -space from characteristic to characteristic , and we explain how s…
Derived intersections and the Hodge theorem
Dima Arinkin, Andrei Caldararu, Marton Hablicsek
The algebraic Hodge theorem was proved in a beautiful 1987 paper by Deligne and Illusie, using positive characteristic methods. We argue that the central algebraic object of their…
Kakeya sets over non-archimedean local rings
Evan P. Dummit, Márton Hablicsek
In a recent paper of Ellenberg, Oberlin, and Tao, the authors asked whether there are Besicovitch phenomena in F_q[[t]]^n. In this paper, we answer their question in the affirmativ…
Power map permutations and symmetric differences in finite groups
Márton Hablicsek, Guillermo Mantilla-Soler
Let be a finite group. For all , such that , the function sending to defines a permutation of the elements of . Motivated by a…