Melchior Wirth

March 2025 Workshop ‘Dynamical Systems, Operator Theory, Graphs and Spectral Theory (DOGS)’
University of Jena, Germany
Title: Interactions between Markov semigroups on discrete, continuous and noncommutative spaces

August 2024 Workshop ‘Quantum Markov Semigroups and Channels: Special Classes and Applications’
Casa Matemática Oaxaca (CMO), Mexico
Title: Ricci curvature bounds and relative entropy decay for quantum Markov semigroups
August 2024 ‘International Workshop on Operator Theory and its Applications (IWOTA)’, session ‘Positive Operators and Their Dynamics’
University of Kent, Canterbury, UK
Title: Symmetric quantum Markov semigroups and their generators
July 2024 Research Seminar ‘Probabilistic Operator Algebras’
online, organized by UC Berkeley, USA
Title: Operator-Valued Twisted Araki-Woods Algebras
July 2024 Research Seminar ‘Mathematical Physics and Operator Algebras’
FAU Erlangen, Germany
Title: Operator-Valued Twisted Araki-Woods Algebras
June 2024 Workshop ‘Operator Theoretic Aspects of Ergodic Theory (OTET 12)’
Leipzig University, Germany
Title: Logarithmic Sobolev Inequalities for Quantum Markov Semigroups
March 2024 Conference ‘Open Quantum Systems’
Toulouse Mathematical Institute, France
Title: Generators of Symmetric Quantum Markov Semigroups
January 2024 Seminar ‘Complex Quantum Systems’
University of Paderborn,Germany
Title: Symmetric Quantum Markov Semigroups and Their Generators

July 2023 Workshop ‘Infinite dimensional quantum Markov semigroups’
University of Tübingen, Germany
Title: Generators of GNS-Symmetric Quantum Markov Semigroups
June 2023 Workshop ‘Noncommutative Harmonic Analysis and Quantum Information’
Mittag Leffler Institute Stockholm, Sweden
Title: Logarithmic Sobolev inequalities for type III von Neumann algebras
May 2023 Workshop ‘Concentration inequalities for quantum measurements and non commutative functional inequalities’
Toulouse Mathematics Institute, France
Title: Logarithmic Sobolev inequalities – beyond matrix algebras and tracial symmetry

November 2022 Seminar ‘Analysis and Mathematical Physics’ at FSU Jena: ‘Generators of GNS-symmetric Quantum Markov Semigroups’
October 2022 Workshop on Operator Theoretic Aspects of Ergodic Theory (OTET 10) – Noncommutative Ergodic Theory at University of Kiel: ‘Generators of GNS-symmetric quantum Markov semigroups’
September 2022 Workshop ‘Optimal Transport on Quantum Structures‘ at the Erdös Center, Budapest: ‘The Differential Structure of Generators of GNS-Symmetric Quantum Markov Semigroups’
July 2022 Workshop ‘New Challenges in Operator Semigroups‘ at St. John’s College, Oxford: ‘Generators of GNS-symmetric quantum Markov semigroups’

December 2021 Seminar ‘Functional Analysis, Operator Theory and Dynamical Systems’, online: Curvature-dimension conditions for quantum Markov semigroups
February 2021 Workshop ‘Entropy Inequalities, Quantum Information and Quantum Physics’, Institute for Pure and Applied Mathematics (IPAM) at University of California, Los Angeles: From Entropic Curvature Bounds to Logarithmic Sobolev Inequalities
January 2021 PDE Afternoon of SFB ‘Taming Complexity in Partial Differential Systems’, University Vienna: Entropic gradient flow structure of quantum Markov semigroups
January 2021 Workshop ‘Geometry, Dynamics and Spectrum of Operators on Discrete Spaces’, Mathematisches Forschungsinstitut Oberwolfach (MFO): Logarithmic Sobolev inequalities for quantum Markov semigroups – an optimal transport approach

November 2020 MathPhys Analysis Seminar, IST Austria: Gradient estimates for quantum Markov semigroups and return to equilibrium
May 2020 Conference ‘Canadian Operator Symposium’, Fields Institute Toronto: Quantum Markov Semigroups as Gradient Flows of the Entropy

June 2019 Conference ’Geometric aspects of harmonic analysis and spectral theory’, Technion, Haifa: Sobolev-Type Inequalities and Eigenvalue Growth on Graphs with Finite Measure
June 2019 Seminar of research training group ’Energy, Entropy, and Dissipative Dynamics’, RWTH Aachen: Entropic gradient flow structure of quantum Markov semigroups

July 2018 Jena-Leipzig-Seminar, FSU Jena: The Geometry of Geodesics in Discrete Optimal Transport
March 2018 Closing workshop research training group ‘Quantum and Gravitational Fields’, FSU Jena: The Heat Flow as Gradient Flow of the Entropy

August 2017 Summer school ‘Analysis and Theoretical Numerical Analysis’, Siegmundsburg: Laplacians and isometries of metric measure spaces
March 2017 Workshop ‘Interface between Commutative and Non-Commutative Stochastic Analysis’, Hokkaido University Sapporo: A transport metric for Dirichlet forms and gradient flows of the entropy
March 2017 Workshop ‘Dirichlet Forms and Their Geometry’, Tohoku University Sendai: Geometric properties of Dirichlet forms under order isomorphisms
March 2017 Winter school ‘From Particle Dynamics to Gradient Flows’ , TU Kaiserslautern: Dirichlet forms and gradient flows of the entropy
January 2017 Seminar ‘Discrete spectral geometry’, University of Potsdam: A transport metric for non-local Dirichlet forms and gradient flows of the entropy

December 2016 Workshop ‘Operator Theory and Indefinite Inner Product Spaces’, TU Vienna: Uniqueness of form extensions and domination of semigroups
November 2016 Workshop ‘Heat kernels, stochastic processes and functional inequalities’, Mathematisches Forschungsinstitut Oberwolfach (MFO): Geometric properties of Dirichlet forms under order isomorphisms
September 2016 Summer school ‘Spectral Theory, Differential Equations and Probability’, University of Mainz: Does Diffusion Determine the Geometry?
July 2016 Summer school ‘Analysis and Theoretical Numerical Analysis’, Siegmundsburg: Uniqueness of form extensions via domination of semigroups
July 2016 Students’ conference of the Deutschen Mathematikervereinigung (DMV), TU Berlin: Uniqueness of form extensions on L² spaces
January 2016 Workshop ‘Spectral Geometry’, University of Potsdam: Domination of semigroups and uniqueness of form extensions

January 2015 Workshop ‘New Directions in Mathematical Physics and beyond’, FSU Jena: Does diffusion determine the graph structure?

One Day Workshop 2018 ‘Nonlocal Models in Analysis and Probability’, March 22, 2018 (together with Daniel Lenz and Ilya Pavlyukevich)
Young Researchers’ Symposium within conference Analysis and Geometry on Graphs and Manifolds at Potsdam University, July 31 to August 3, 2017 (together with Michael Schwarz)