GL

Prof. Dr. Gandalf Lechner

Lehrstuhl für Mathematik (Operatoralgebren) (Heisenberg-Professur)

Professorinnen und Professoren

Adresse

Cauerstraße 11 91058 Erlangen
Zimmer: 02.321, Geschoss: 02

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2026

2025

2024

2023

2022

2021

2020

2019

2018

2017

2016

2015

2014

2013

2012

2011

2010

2008

2007

2005

2004

2003

Conference talks (2017-today)

  • Standard Subspaces
    Minicourse at YMC*A 2026, Oxford, August 2026
  • Unitary R-matrices, mostly with two eigenvalues
    The Yang–Baxter Equation and Representations of Braid Groups, Oberwolfach, October 2025
  • Discussion Session on Entropy and Modular Theory
    Causal Fermion Systems 2025, Regensburg, October 2025
  • Localisation Observables and Modular Theory
    Operator Algebras and Mathematical Physics, ICMS Workshop, Edinburgh, September/October 2025
  • Localisation Observables and Modular Theory
    LQP Workshop 51 and Rainer-Fest, September 2025
  • Standard Subspaces and twisted Araki-Woods subfactors
    Oberwolfach meeting „Subfactors and Applictions“, Oberwolfach, July 2025
  • On causal and covariant space(time) localisation observables
    10th meeting of the AQFTUK network, Cardiff, June 2025
  • Quantum Field Theory on a Nichols Algebra
    Workshop „Quantum groups, tensor categories and quantum field theory“, Oslo, January 2025
  • KMS states on Ising QFTs and crossed products
    Operator Algebras in High Energy Physics, Stockholm, September 2024
  • Twists and Localization Structures: Local and Non-Local Models in Quantum Field Theory
    Exactly Solvable Models, ESI Vienna, July 2024
  • Quantum Field Theory and Modular Theory
    LQP48 and Detlev-Fest, Leipzig, June 2024
  • Quantum Field Theory on a Nichols Algebra
    Yang-Baxter algebras, Conference at Heriot-Watt University, Edinburgh, June 2024
  • Inclusions of Standard Subspaces
    Oberwolfach Mini-Workshop on Standard Subspaces in Quantum Field Theory and Representation Theory, October 2023
    Proceedings contribution
  • Twisted Araki-Woods Factors in QFT: Modular Data and Inclusions
    Developments in Modern Mathematics, Conference at Göttingen University, September 2023
  • Integrable quantum field theories between modular theory and the Yang-Baxter equation
    Workshop on Geometric Methods in Physics, Bialowieza, July 2023
    Proceedings contribution
  • Standard Subspaces and Twisted Araki-Woods (Sub-)Factors
    Conference Where Mathematics Meets Quantum Physics, Rome, June 2023
  • Entanglement in operator-algebraic quantum field theory
    Workshop on Functional Analysis and Quantum Information, ICMAT Madrid, March 2023
  • Borchers Triples and their Deformations in QFT
    58th Seminar Sophus Lie, Erlangen, March 2023
  • Classification of unitary R-matrices by braid group characters
    Workshop Skew Braces and the Yang-Baxter Equation, Oberwolfach, February 2023
  • Quantum field theory without quantisation – from standard subspaces to observable algebras
    16th Colloquium “Mathematics and Foundations of Quantum Theory”, Regensburg, February 2023
  • Local and non-local half-sided modular inclusions
    Conference „Energy conditions in quantum field theory“, Leipzig, September 2022
  • Local and non-local CFTs on the line and subfactors of type III
    Conference „Operator Algebras: Subfactors, K-theory, Conformal Field Theory“, Gregynog, August 2022
  • Unitary solutions of the Yang-Baxter equation and von Neumann algebras
    Conference „The algebra of the Yang-Baxter equation“, Będlewo conference center, July 2022
  • Singular half-sided modular inclusions and deformation quantization
    IWOTA Lancaster (virtual) , online, August 2021
    Slides
  • Yang-Baxter endomorphisms
    Subfactors and Applications , Oberwolfach, October 2019
  • From the construction of integrable QFTs to the classification of unitary R-matrices
    Mathematics of interacting QFT models , York, July 2019
  • Deformations of quantum field theories, the construction of models, and T\overline{T}-deformations
    T\overline{T} and other solvable deformations of quantum field theories , Simons Center for Geometry and Physics, Stony Brook, April 2019
  • Braid group characters and localised endomorphisms
    43rd LQP workshop „Foundations and Constructive Aspects of QFT“ , Galieo Galilei Institute Firenze, February 2019
  • Quantum-mechanical backflow and scattering
    Algebraic Quantum Field Theory: Where Operator Algebra meets Microlocal Analysis , Cortona, Italy, June 2018
  • Modular Localization and Constructive Algebraic QFT
    Reflection Positivity , November 2017, Workshop at the Oberwolfach Research Center
  • All involutive solutions of the Yang-Baxter equation
    Advances in Mathematics and Theoretical Physics , September 2017, Accademia Nazionale dei Lincei, Roma
    Slides
  • Yang-Baxter Representations of the Infinite Symmetric Group
    Modern Mathematics of Quantum Theory , September 2017, York University
  • Yang-Baxter Representations of the Infinite Symmetric Group
    LQP Workshop 40 , June 2017, Leipzig University / MPI
  • Yang-Baxter Representations of the Infinite Symmetric Group
    Subfactors Programme, Workshop III , June 2017, Newton Institute, Cambridge

Past conference talks (2004-2016)

  • Sigma models in algebraic QFT
    Local Quantum Physics and Beyond: In Memoriam Rudolf Haag , Hamburg, September 2016
  • SO(d,1)-invariant Yang-Baxter operators and a dS/CFT correspondence
    Operator Algebras and Quantum Field Theory , Frascati, June 2016
  • R-matrices and integrable QFTs
    Lie Groups: Representations and Geometry , Erlangen, September 2015
  • O(d,1)-symmetric R-matrices and QFT models
    Operator Algebras and Quantum Physics , Sao Paulo, July 2015
  • Integrable Quantum Field Theories from an Operator-Algebraic Perspective
    Wales Mathematics Colloquium , Gregynog, May 2015
  • Representations of Rieffel-deformed C*-algebras and deformations of inclusions
    Workshop on Deformation Quantization: Between Formal and Strict , Oberwolfach, February 2015
  • Modular Structure of Generalized Free Fields and Nets of Standard Subspaces
    AQFT 2015 – Workshop on New Trends in Algebraic Quantum Field Theory , Frascati, February 2015
  • Reflection Positivity and Operator Algebras in Quantum Field Theory
    Oberwolfach Workshop: Reflection Positivity in Representation Theory, Stochastics, and Physics , Oberwolfach, December 2014
  • The structure of the field algebra in non-commutative QFT and uniqueness of its KMS states
    Quantum Mathematical Physics , Regensburg, September 2014
  • Hyperbolic PDEs with non-commutative time
    Frontiers in Fundamental Physics , Marseille, July 2014
  • Operator algebras and the construction of models in quantum field theory
    FJIM 2014 , Bilbao, July 2014
  • Construction of quantum field theories by deformation techniques
    DPG Spring Conference , Berlin, March 2014
  • Non-Local Perturbations of Hyperbolic PDEs and QFT on Noncommutative Spacetimes
    Mathematics and Quantum Physics , Accademia dei Lincei, Rome, July 2013
  • Hyperbolic PDEs with star product potentials
    GEOQUANT 2013 , ESI Vienna, August 2013
  • Equivalence of two deformation schemes in QFT
    Essays in low-dimensional quantum field theory , Universita Rom II Tor Vergata, October 2012
  • Borchers triples and the construction of models in quantum field theory
    Memorial Symposium Hans-Juergen Borchers „A Life for Relativistic Quantum Field Theory“ , Goettingen, October 2012
  • KMS states of deformed quantum field theories
    Algebraic Quantum Field Theory and Local Symmetries , Hausdorff Research Institute for Mathematics, Sept.2012
  • Thermal Equilibrium States for QFTs on Moyal Minkowski Spacetime
    ICMP 2012 , Aalborg, August 2012
  • Constructive algebraic quantum field theory at the example of integrable models
    Mathematical Aspects of Quantum Field Theory and Quantum Statistical Mechanics , DESY, Hamburg, July 2012
  • Quantum field theory on locally noncommutative spacetimes
    DPG Spring Conference 2012 , Goettingen, February 2012
  • Locally Noncommutative Spacetimes and Quantum Field Theory
    Planckland , SISSA, Trieste, February 2012
  • Algebraic quantum field theory: From structural analysis to the construction of models
    Quantum Gravity Colloquium 6 , University of Erlangen, October 2011
  • Oscillatory integrals for vector-valued symbols and locally noncommutative spacetimes
    Modern Trends in Algebraic Quantum Field Theory , University of Pavia, September 2011
  • Oscillatory integrals for vector-valued symbols and locally noncommutative spacetimes
    Harmonic Analysis, Deformation Quantization, Noncommutative Geometry , Scalea, Italy, September 2011
  • Multiplicative deformations of the Borchers-Uhlmann algebra
    Local Quantum Physics workshop 28 , Goettingen, July 2011
  • Local and covariant deformations of quantum field theories
    Quantum Theory and Gravitation , Zurich, June 2011
  • Multiplicative deformations of the Borchers-Uhlmann algebra
    WIMCS workshop on quantum field theory , University Cardiff, April 2011
  • Local and covariant deformations of observable algebras in QFT
    Deformation Methods in Mathematics and Physics , Oberwolfach, September 2010
  • Deformations of Quantum Field Theories
    NITheP Workshop – Quantum Field Theory on Curved Spacetime , University of KwaZulu-Natal, Durban, August 2010
  • Star products on Hilbert space
    Bayrischzell workshop , Bayrischzell, May 2010
  • Rieffel deformations and the construction of local nets
    Conference of Noncommutative geometry EU network , Copenhagen, October 2009
  • Deformations of Operator Algebras and the Construction of Quantum Field Theories
    ICMP 2009, Operator Algebras Session , Prague, August 2009
  • Deformations of Operator Algebras and the Construction of Quantum Field TheoriesMovie recording of talk
    Algebraic Quantum Field Theory – The first 50 years , Goettingen, July 2009
  • Star products and deformation procedures in quantization, non-commutative geometry and quantum field theory
    Local Quantum Physics workshop 24 , Leipzig, June 2009
  • Field Deformations vs Lagrangian Deformations in Noncommutative QFT
    Workshop on Noncommutative Geometry and Quantum Field Theory , Chennai, December 2008
  • Noncommutative Deformations of Quantum Field Theories
    Mini-workshop on Noncommutative Geometry and Quantum Field Theory , Rome, October 2008
  • Noncommutative Deformations of Wightman Quantum Field Theories
    Operator Algebras and Conformal Field Theory, ESI program , Vienna, September 2008
  • Noncommutative Deformations of Quantum Fields
    Meeting of the Noncommutative Geometry EU Network , DIAS Dublin, June 2008
  • Models of Wedge-Local Quantum Fields
    DPG Conference , Freiburg, March 2008
  • Wedge-local Quantum Fields, Non-Commutative Minkowski Space, and Interaction
    4th Vienna Central European Seminar: Commutative and Noncommutative Quantum Fields , Vienna University, December 2007
  • Wedge-Local Quantum Fields and Noncommutative Minkowski Space
    Workshop on Noncommutative Geometry, , Bratislava, July 2007
  • Wedge-Localized Quantum Fields and Noncommutative Minkowski Space
    Local Quantum Physics Workshop 20 , Leipzig, June 2007
  • Towards the Construction of the O(N)-Sigma models
    ESI Programme „Mathematical and Physical Aspects of Perturbative Approaches to Quantum Field Theory“ , Vienna, March 2007
  • Construction of asymptotically complete interacting quantum field theories in two dimensions
    ICMP 2006, Young Researchers Symposium , Rio de Janeiro, August 2006
  • Construction of Asymptotically Complete Interacting Quantum Field Theories in Two Dimensions
    Topics in Mathematical Physics , Sao Paulo, August 2006
  • Constructing local nets of von Neumann algebras from their S-matrices
    Brazilian Operator Algebras Conference , Florianopolis, July 2006
  • The inverse scattering problem for factorizing S-matrices
    DESY Theory Colloquium , Hamburg, May 2006
  • Constructing Local Nets from an S-matrix
    South Eastern Analysis Meeting (SEAM XXII) , Gainesville, USA, March 2006
  • Constructing Integrable Models in Algebraic Quantum Field Theory
    Local Quantum Physics Workshop 17 , Goettingen, December 2005
  • Geometric Modular Action in Quantum Field Theory and Quantum Field Theories from Geometric Modular Action
    Oberwolfach Meeting „Noncommutative Geometry and Quantum Field Theory“ , Oberwolfach, October 2005
  • Nuclearity Properties of Theories with a Factorizing S-Matrix
    Conference Rigorous Quantum Field Theory in honour of Jacques Bros , Saclay, July 2004
  • Polarization-Free Quantum Fields and Interaction
    DPG Conference, Session „Noncommutative Geometry and Quantum Field Theory“ , Ulm, March 2004

Seminar talks (2017-today)

  • Localisation Observables
    Mathematical Physics Seminar, University of Trento, May 2026
  • Integrable quantum field theories — inverse scattering, braided vector spaces, and local algebras
    Mathematical Physics Seminar, University of Vienna, December 2025
  • Inclusions of Standard Subspaces
    Operator Algebras Seminar, University of Rome Tor Vergata, Rome, October 2025
  • Localisation Observables
    Würzburg Mathematical Physics Seminar, May 2025
  • Modular Structure and Inclusions of Twisted Araki-Woods Algebras
    Berkeley Probabilistic Operator Algebra Seminar, online, January 2023
    Slides
  • Deformations of Araki-Woods Algebras
    Deformation Quantization Seminar, Würzburg, January 2023
  • A review of algebraic constructive quantum field theory
    Quantum Gravity Seminar, FAU, June 2022
  • Unitary braidings
    Emmy Noether Seminar, FAU, May 2022
  • Integrable quantum field theories – Inverse scattering, local von Neumann algebras, asymptotic completeness
    IFS seminar Gent, April 2022
  • Half-sided modular inclusions and the algebra at infinity
    GEP Seminar, Leipzig University, January 2022
  • Constructions of conformal QFTs from Borchers triples: non-local examples
    Mathematical Physics Seminar, Regensburg University, December 2021
  • Singular half-sided modular inclusions and the algebra at infinity
    Deformation Quantization Seminar, Würzburg University, online, July 2021
  • Yang-Baxter representations of the infinite braid group and subfactors
    UK Virtual Operator Algebras Seminar , online, October 2020
  • An operator-algebraic perspective on unitary R-matrices
    Mathematical Physics Seminar , University of York, November 2019
  • R-matrices and localised endomorphisms
    Mathematical Physics Seminar , Nottingham University, March 2019
  • Quantum-mechanical backflow and scattering
    Mathematical Physics Seminar , Northumbria University, Newcastle, March 2019
  • The Yang-Baxter equation and extremal characters of the infinite braid group
    Mathematical Physics Seminar, Leipzig University , December 2018
  • Algebraic Quantum Field Theory
    GAPT Seminar, Cardiff University , March 2018
  • Yang-Baxter characters of the infinite symmetric group and subfactors
    Deformation Quantization Seminar, Universität Würzburg , March 2018
  • All involutive solutions of the Yang-Baxter equation
    Séminaire de physique mathématique, Institut Camille Jordan, Lyon , March 2018
  • Quantum backflow and scattering theory
    Mathematical Physics Seminar, Imperial College London , May 2017
  • Quantum Backflow and Scattering
    Mathematical Physics Seminar, University of York , February 2017
  • Integrable QFTs and von Neumann algebras
    Theoretical Physics Seminar, King’s College, London , February 2017
  • Representations of Rieffel-deformed C*-algebras and deformations of Borchers triples
    Analysis Seminar, Glasgow University , January 2017

Past seminar talks (2004-2016)

  • Quantum-Mechanical Backflow and ScatteringPhysics Seminar, Cardiff University , November 2016
  • Modular NuclearityMath. Phys. Seminar, York University , March 2016
  • The inverse scattering problem for integrable QFTs in 2d and its operator-algebraic solutionQFT Seminar, Oxford University , February 2016
  • Constructing QFTs with modular theory and R-matricesGraduiertenkolleg Mathematik+Physik, Universität Göttingen , February 2016
  • Singular values of Hardy space operators and relative commutants of von Neumann algebrasGeometry and Analysis Seminar, Queen Mary, London , December 2015
  • Wave Equations with Noncommutative TimeMathematical Physics Seminar, University of York , June 2015
  • Noncommutative Wave EquationsMathematical Physics Seminar, Bristol University , May 2015
  • KMS functionals and KMS states for algebras of deformed quantum fieldsDeformation Quantization Seminar, Uni Würzburg , November 2013
  • Equivalence of two deformation schemes in QFTEssays in low-dimensional quantum field theory , Universita Rom II Tor Vergata, October 2012
  • Deformations of Quantum Field TheoriesLeipzig University , June 2010
  • Deformation techniques in quantization and quantum field theoryHamburg University , June 2010
  • Deformations of quantum field theoriesYork University , June 2010
  • Warped Convolutions und Rieffel-DeformationenFreiburg University , February 2010
  • Rieffel-Deformationen und die Konstruktion von wechselwirkenden QuantenfeldtheorienFreiburg University , July 2009
  • Nicht-kommutative Deformationen von QuantenfeldtheorienLMU Munich , May 2008
  • Quantum Fields on the Non-Commutative Minkowski Space : Scattering, Thermal Equilibrium and CausalityLaboratoire de Physique Theorique , Orsay, March 2008
  • The inverse scattering problem for quantum field theories with factorizing S-matricesSlidesEcole Polytechnique , Palaiseau, March 2008
  • Modular Theory and Quantum Field TheoryAustralian National University , Canberra, February 2008
  • Wedge-Local Quantum Fields in Integrable and Nonlocal ModelsUniversita Tor Vergata , Rome, January 2008
  • The inverse scattering problem for Quantum Field Theories with Factorizing S-MatricesMath. Phys. Seminar, ETH Zurich , October 2007
  • Construction of local nets from a wedge algebraOperator Algebras Seminar, University of Tokyo , October 2007
  • Local nets of von Neumann algebras and modular theoryOperator Algebras Seminar, University of Tokyo , October 2007
  • Construction of Quantum Field Theories with Factorizing S-Matrices, IESI Seminar , Vienna, November 2006
  • The inverse scattering problem for factorizing S-matricesSeminario do DF-UFJF , Juiz de Fora, Brazil, August 2006
  • The inverse scattering problem for factorizing S-matricesDESY Theory Colloquium , Hamburg, May 2006