Categorification in Algebraic Geometry


ANR-17-CE40-0014



Publications 2020


  • Title :Congruences on K-theoretic Gromov--Witten invariants
    Authors :Jérémy Guéré abstract, pdf

  • Title :A categorification of the quantum Lefschetz principle
    Authors : David Kern abstract, pdf

  • Title :Stability and Applications
    Authors : Emanuele Macrì, Benjamin Schmidt abstract, pdf

  • Title :Algebraic foliations and derived geometry: the Riemann-Hilbert correspondence
    Authors :Bertrand Toën, Gabriele Vezzosi abstract, pdf

  • Title :Algebraic foliations and derived geometry II: the Grothendieck-Riemann-Roch theorem
    Authors :Bertrand Toën, Gabriele Vezzosi abstract, pdf

  • Title :Classes caractéristiques des schémas feuilletés
    Authors :Bertrand Toën abstract, pdf

  • Title : Relative critical loci and quiver moduli
    Authors : Tristan Bozec, Damien Calaque, Sarah Scherotzke abstract, pdf

  • Title : Ellipsitomic Associators
    Authors :Damien Calaque, Martin Gonzalez abstract, pdf

  • Title : A moperadic approach to cyclotomic associators
    Authors : Damien Calaque, Martin Gonzalez abstract, pdf

  • Title :McKay correspondence, cohomological Hall algebras and categorification
    Authors :Duiliu-Emanuel Diaconescu, Mauro Porta, Francesco Sala abstract, pdf

  • Title :Non-archimedean quantum K-invariants
    Authors :Mauro Porta, Tony Yue Yu abstract, pdf

  • Title :Secondary fan, theta functions and moduli of Calabi-Yau pairs
    Authors :Paul Hacking, Sean Keel, Tony Yue Yu abstract, pdf

  • Title :Higher dimensional formal loop spaces
    Authors :Benjamin Hennion abstract, pdf

  • Title :Augmented Valuation and Minimal Pair
    Authors : Michel Vaquié abstract, pdf


  • Publications 2019

  • Title :Stability conditions in families
    Authors : Arend Bayer, Martí Lahoz, Emanuele Macrì, Howard Nuer, Alexander Perry, Paolo Stellari abstract, pdf

  • Title :Categorification of two-dimensional cohomological Hall algebras
    Authors : Mauro Porta, Francesco Sala abstract, pdf

  • Title :Tangent of K-theory
    Authors : Benjamin Hennion abstract, pdf

  • Title :Multiplicative persistent distances
    Authors : Grégory Ginot, Johan Leray abstract, pdf

  • Title :Moduli of flat connections on smooth varieties
    Authors : Tony Pantev, Bertrand Toën abstract, pdf

  • Title :Equivariant Landau--Ginzburg mirror symmetry
    Authors : Jérémy Guéré abstract, pdf

  • Title :Derived Non-archimedean analytic Hilbert space
    Authors : Jorge António, Mauro Porta abstract, pdf

  • Title :A Universal HKR Theorem
    Authors : Tasos Moulinos, Marco Robalo, Bertrand Toën abstract, pdf

  • Title :Mirror symmetry and automorphisms
    Authors : Alessandro Chiodo, Elana Kalashnikov abstract, pdf

  • Title :Level-sets persistence and sheaf theory
    Authors : Nicolas Berkouk, Grégory Ginot, Steve Oudot abstract, pdf

  • Title :On the Universal ellipsitomic KZB connection
    Authors :Damien Calaque, Martin Gonzalez abstract, pdf
  • Title :Hodge--Gromov--Witten theory
    Authors :Jérémy Guéré abstract, pdf

  • Title :The Frobenius structure theorem for affine log Calabi-Yau varieties containing a torus
    Authors : Sean Keel, Tony Yue Yu abstract, pdf

  • Title :Derived deformation theory of algebraic structures
    Authors : Gregory Ginot, Sinan Yalin abstract, pdf

  • Title :Moduli problems for operadic algebras
    Authors : Damien Calaque, Ricardo Campos, Joost Nuiten abstract, pdf

  • Title : Le problème de la schématisation de Grothendieck revisité
    Authors :Bertrand Toën abstract, pdf

  • Title :Parabolic Hecke eigensheaves
    Authors :Ron Donagi, Tony Pantev abstract, pdf

  • Title :Famille admise associée à une valuation de K(X)
    Authors :Michel Vaquié abstract, pdf



  • Publications 2018

  • Title : Gromov-Witten theory with derived algebraic geometry
    Authors: Etienne Mann, Marco Robalo abstract, pdf

  • Title : Twisted spectral correspondence and torus knots
    Authors: Wu-yen Chuang, Duiliu-Emanuel Diaconescu, Ron Donagi, Satoshi Nawata, Tony Pantev abstract, pdf

  • Title : A derived isometry theorem for constructible sheaves on R
    Authors: Nicolas Berkouk, Grégory Ginot abstract, pdf

  • Title : Landau-Ginzburg models for certain fiber products with curves
    Authors: Zhuo Chen, Tony Pantev, Eric Sharpe abstract, pdf

  • Title :Lectures on non-commutative K3 surfaces, Bridgeland stability, and moduli spaces
    Authors: Emanuele Macrì, Paolo Stellari abstract, pdf

  • Title :Poisson geometry of the moduli of local systems on smooth varieties
    Authors: Tony Pantev, Bertrand Toen
    à paraitre à PRIMS "Publications of Research Institute for Mathematical Sciences". abstract, pdf

  • Title :Gelfand-Fuchs cohomology in algebraic geometry and factorization algebras
    Authors: Benjamin Hennion, Mikhail Kapranov abstract, pdf

  • Title : Analytification of mapping stacks
    Authors: Julian Holstein, Mauro Porta abstract, pdf



  • Publications 2017

  • Authors: Duiliu-Emanuel Diaconescu, Ron Donagi, Tony Pantev
    Title
    : BPS states, torus links and wild character varieties abstract, pdf

  • Authors: Damien Calaque, Julien Grivaux
    Title
    : The Ext algebra of a quantized cycle abstract, pdf

  • Authors: Benjamin Antieau, Gabriele Vezzosi
    Title
    : A remark on the Hochschild-Kostant-Rosenberg theorem in characteristic p abstract, pdf

  • Authors: Bertrand Toën, Gabriele Vezzosi
    Title
    : Trace formula for dg-categories and Bloch's conductor conjecture I abstract, pdf

  • Authors: Bertrand Toën, Gabriele Vezzosi
    Title
    : Géométrie non-commutative, formule des traces et conducteur de Bloch abstract, pdf

  • Authors: Mauro Porta, Tony Yue Yu
    Title
    : Representability theorem in derived analytic geometry abstract, pdf



  • Publications 2016

  • Authors: R. Donagi, T. Pantev, C. Simpson
    Title
    : Direct Images in Non Abelian Hodge Theory abstract, pdf

  • Authors: Marco Maggesi, Gabriele Vezzosi
    Title
    : Some elementary remarks on lci algebraic cycles abstract, pdf

  • Authors: Damien Calaque
    Title
    : Shifted cotangent stacks are shifted symplectic abstract, pdf

  • Authors: Etienne Mann, Thomas Reichelt
    Title
    : Logarithmic degenerations of Landau-Ginzburg models for toric orbifolds and global tt* geometry pdf

  • Authors: Marco Robalo, Pierre Schapira
    Title
    : A lemma for microlocal sheaf theory in the $\infty$-categorical setting abstract, pdf

  • Authors: A. Blanc, M. Robalo, B. Töen, G. Vezzosi
    Title
    : Motivic Realizations of Singularity Categories and Vanishing Cycles abstract, pdf

  • Authors: Gregory Ginot, Sinan Yalin
    Title
    : Deformation theory of bialgebras, higher Hochschild cohomology and formality abstract, pdf

  • Authors: B. Toën, G. Vezzosi
    Title
    : The $\ell$-adic trace formula for dg-categories and Bloch's conductor conjecture abstract, pdf

  • Authors: T. Pantev, G. Vezzosi
    Title
    : Symplectic and Poisson derived geometry and deformation quantization abstract, pdf

  • Authors: Benjamin Hennion, Mauro Porta, Gabriele Vezzosi
    Title
    : Formal gluing along non-linear flags abstract, pdf

  • Authors: Tony Yue Yu
    Title
    : Enumeration of holomorphic cylinders in log Calabi-Yau surfaces. II. Positivity, integrality and the gluing formula abstract, pdf
  • Authors: Mauro Porta, Tony Yue Yu
    Title
    : Derived non-archimedean analytic spaces abstract, pdf



  • Publications 2015

  • Authors: Tony Yue Yu
    Title
    : Enumeration of holomorphic cylinders in log Calabi-Yau surfaces. I abstract, pdf

  • Authors: B. Toën, M. Vaquié
    Title
    : Systèmes de points dans les dg-catégories saturées abstract, pdf

  • Authors: Alessandro Chiodo, Elana Kalashnikov, Davide Cesare Veniani
    Title
    : Semi-Calabi-Yau varieties and mirror pairs abstract, pdf

  • Authors: Alessandro Chiodo, Jan Nage
    Title
    : The hybrid Landau-Ginzburg models of Calabi-Yau complete intersections abstract, pdf

  • Authors: Alessandro Chiodo
    Title
    : Néron models of $Pic^0$ via $Pic^0$ abstract, pdf

  • Authors: Etienne Mann, Marco Robalo
    Title
    : Brane actions, Categorification of Gromov-Witten theory and Quantum K-theory pdf

  • Authors: D. Calaque, T. Pantev, B. Toen, M. Vaquie, G. Vezzosi
    Title
    : Shifted Poisson Structures and Deformation Quantization abstract, pdf

  • Authors: Damien Calaque, Claudia Scheimbauer
    Title
    : A note on the (\infty,n)-category of cobordisms abstract, pdf