Cohomological Aspects of Quantum Field Theory
January 15 - April 25, 2025
Quantum Field Theory (QFT) is a cornerstone of modern fundamental physics with a wide range of applications, from high-energy physics to mathematical physics. The ideas and techniques of QFT have had a significant
impact on the development of mathematics. Over the years, many aspects of QFT have been formalized withina proper mathematical framework. In mathematics, homological/cohomological techniques are typically associated
with the study of (co)chain complexes, which can be explored through both their homology and cohomology. This program concentrates on the application of homological/cohomological techniques in the context of QFT.
The program focuses on three different areas: cohomological field theories and enumerative invariants, BV-formalism, and formal geometry, as well as categorification in the context of QFT.
During the program, there will be two workshops with thematically focused talks:
Cohomological aspects of quantum field theories
January 20 – January 24, 2025
BV-formalism and quantum field theories
March 31 – April 4, 2025
Further details about the program will be made available closer to the date.
Seminars Scroll to the next upcoming seminar
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Maxim Zabzine (org): informal discussion about the program January 16 10:30 - 11:30 -
Administration: Welcome January 20 09:00 - 09:15 Administration: Welcome
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Organizers : Welcome January 20 09:15 - 09:30 Organizers : Welcome
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Workshop, Giovanni Canepa: Double BFV quantisation and application to 3d Gravity January 20 09:30 - 10:30 Workshop, Giovanni Canepa: Double BFV quantisation and application to 3d Gravity
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Workshop, Alberto Cattaneo: Yang–Mills theory from a topological theory January 20 11:00 - 12:00 Workshop, Alberto Cattaneo: Yang–Mills theory from a topological theory
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Workshop, Yegor Zenkevich: Spiralling branes and integrable systems January 20 13:30 - 14:30 Workshop, Yegor Zenkevich: Spiralling branes and integrable systems
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Workshop, Ezra Getzler: Homotopy moments maps and differential characters January 21 09:30 - 10:30 Workshop, Ezra Getzler: Homotopy moments maps and differential characters
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Workshop, Minghao Wang: Invariants of Kahler manifolds and Feynman graph integrals January 21 11:00 - 12:00 Workshop, Minghao Wang: Invariants of Kahler manifolds and Feynman graph integrals
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Workshop, Konstantin Wernli: Globalization in perturbative BV theories January 21 13:30 - 14:30 Workshop, Konstantin Wernli: Globalization in perturbative BV theories
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Workshop, Henrique Bursztyn: Symplectic groupoids via 2-shifted lagrangian structures January 21 15:00 - 16:00 Workshop, Henrique Bursztyn: Symplectic groupoids via 2-shifted lagrangian structures
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Workshop, Alexander Buryak: Pairs of compatible Poisson brackets and cohomological field theories January 22 09:30 - 10:30 Workshop, Alexander Buryak: Pairs of compatible Poisson brackets and cohomological field theories
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Workshop, Shuhan Jiang: Cohomological Field Theories and Generalized Seiberg-Witten Equations January 22 11:00 - 12:00 Workshop, Shuhan Jiang: Cohomological Field Theories and Generalized Seiberg-Witten Equations
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Workshop, Nikita Nekrasov: Geometric relativistic hydrodynamics January 22 13:30 - 14:30 Workshop, Nikita Nekrasov: Geometric relativistic hydrodynamics
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Workshop, Alejandro Cabrera: Symplectic supergeometry behind the Mathai-Quillen formalism and applications January 22 15:00 - 16:00 Workshop, Alejandro Cabrera: Symplectic supergeometry behind the Mathai-Quillen formalism and applications
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Workshop, Si Li: Stochastic Process and Noncommutive Geometry January 23 09:30 - 10:30 Workshop, Si Li: Stochastic Process and Noncommutive Geometry
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Workshop, Alexander Gorsky: Dualities in the integrable many-body systems on the way to p-adics January 23 11:00 - 12:00 Workshop, Alexander Gorsky: Dualities in the integrable many-body systems on the way to p-adics
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Workshop, Henry Liu: Wall-crossing and vertex algebras, in cohomology, K-theory, and beyond January 23 13:30 - 14:30 Workshop, Henry Liu: Wall-crossing and vertex algebras, in cohomology, K-theory, and beyond
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Workshop. Kasia Rejzner: Functional analytic aspects of BV formalism in perturbative algebraic quantum field theory January 23 15:00 - 16:00 Workshop. Kasia Rejzner: Functional analytic aspects of BV formalism in perturbative algebraic quantum field theory
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Workshop, Denis Nesterov: Compactifications of configuration spaces of points January 24 09:30 - 10:30 Workshop, Denis Nesterov: Compactifications of configuration spaces of points
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Workshop, Michele Schiavina: BV-BFV formalism in Perturbative Algebraic Quantum Field Theory January 24 11:00 - 12:00 Workshop, Michele Schiavina: BV-BFV formalism in Perturbative Algebraic Quantum Field Theory
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Kasia Rejzner: An introduction to pAQFT (mini-course), lecture 1 January 27 10:30 - 11:30 Kasia Rejzner: An introduction to pAQFT (mini-course), lecture 1
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Shuhan JIang: Equivariant Localization in Batalin-Vilkovisky Formalism January 27 15:00 - 16:00 Shuhan JIang: Equivariant Localization in Batalin-Vilkovisky Formalism
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Kasia Rejzner: An introduction to pAQFT (mini-course), lecture 2 January 28 10:30 - 11:30 Kasia Rejzner: An introduction to pAQFT (mini-course), lecture 2
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Kasia Rejzner: An introduction to pAQFT (mini-course), lecture 3 January 29 10:30 - 11:30 Kasia Rejzner: An introduction to pAQFT (mini-course), lecture 3
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Miquel Cueca: Deformations of Lagrangian Q-submanifolds January 30 10:30 - 11:30 Miquel Cueca: Deformations of Lagrangian Q-submanifolds
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Fridrich Valach : Full supergravity and generalised geometry January 31 10:30 - 11:30 Fridrich Valach : Full supergravity and generalised geometry
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Si Li: Homological Method in Topological/Holomorphic QFT (mini-course), lecture 1 February 03 10:30 - 11:30 Si Li: Homological Method in Topological/Holomorphic QFT (mini-course), lecture 1
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Pietro Grassi: Quantum Field Theories On Supermanifolds February 04 10:30 - 11:30 Pietro Grassi: Quantum Field Theories On Supermanifolds
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Si Li: Homological Method in Topological/Holomorphic QFT (mini-course), lecture 2 February 05 10:30 - 11:30 Si Li: Homological Method in Topological/Holomorphic QFT (mini-course), lecture 2
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Si Li: Homological Method in Topological/Holomorphic QFT (mini-course), lecture 3 February 06 10:30 - 11:30 Si Li: Homological Method in Topological/Holomorphic QFT (mini-course), lecture 3
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Alex Takeda: Partially defined TQFTs and properadic algebras February 07 10:30 - 11:30 Alex Takeda: Partially defined TQFTs and properadic algebras
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Brian Williams: Observables in holomorphic/topological quantum field theory (mini-course), lecture 1 February 10 14:30 - 15:30 Brian Williams: Observables in holomorphic/topological quantum field theory (mini-course), lecture 1
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Brian Williams: Observables in holomorphic/topological quantum field theory (mini-course), lecture 2 February 11 10:30 - 11:30 Brian Williams: Observables in holomorphic/topological quantum field theory (mini-course), lecture 2
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Brian Williams: Observables in holomorphic/topological quantum field theory (mini-course), lecture 3 February 11 14:30 - 15:30 Brian Williams: Observables in holomorphic/topological quantum field theory (mini-course), lecture 3
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Theodore Voronov: Canonical and (higher) derived brackets February 13 10:30 - 11:30 Theodore Voronov: Canonical and (higher) derived brackets
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Irina Bobrova : Painlevé equations and double quasi-Poisson brackets February 14 10:30 - 11:30 Irina Bobrova : Painlevé equations and double quasi-Poisson brackets
Recordings
Participants
| Name | University | Country | Arrival and Departure |
|---|---|---|---|
| Anton Alekseev | University: University of Geneva | Country: Switzerland | Arrival and Departure: Mar 31 - Apr 4, 2025 |
| Daniel Álvarez | University: University of Toronto | Country: Canada | Arrival and Departure: Mar 1 - Apr 25, 2025 |
| Paolo Aschieri | University: Univ.Piemonte Orientale | Country: Italy | Arrival and Departure: Mar 3 - Mar 28, 2025 |
| Glenn Barnich | University: Brussels U. | Country: Belgium | Arrival and Departure: Mar 30 - Apr 10, 2025 |
| Nathan Berkovits | University: São Paulo State University | Country: Brazil | Arrival and Departure: Mar 30 - Apr 5, 2025 |
| Francis Bischoff | University: University of Regina) | Country: Canada | Arrival and Departure: Feb 16 - Feb 23, 2025 |
| Christian Blohmann | University: Max Planck Institute, Bonn | Country: Germany | Arrival and Departure: Feb 9 - Mar 2 (1st visit), 2025 |
| Christian Blohmann | University: Max Planck Institute, Bonn | Country: Germany | Arrival and Departure: Mar 23 - Apr 13 (2nd visit), 2025 |
| Irina Bobrova | University: MPI Leipzig | Country: Germany | Arrival and Departure: Jan 14 - Mar 9, 2025 |
| Eugenia Boffo | University: Comenius University Bratislav | Country: Slovakia | Arrival and Departure: Jan 27 - Apr 25, 2025 |
| Francesco Bonechi | University: Istituto Nazionale di Fisica Nucleare | Country: Italy | Arrival and Departure: Jan 15 - Apr 25, 2025 |
| Henrique Bursztyn | University: IMPA | Country: Brazil | Arrival and Departure: Jan 19 - Jan 24, 2025 |
| Alexander Buryak | University: HSE, Moscow, Russia (ONLINE) | Country: Russia | Arrival and Departure: Jan 19 - Jan 25, 2025 |
| Alejandro Cabrera | University: UFRJ, Brazil | Country: Brazil | Arrival and Departure: Jan 19 - Jan 26 (1st visit), 2025 |
| Alejandro Cabrera | University: UFRJ, Brazil | Country: Brazil | Arrival and Departure: Feb 2 - Feb 8 (2nd visit), 2025 |
| Giovanni Canepa | University: University of Geneva | Country: Switzerland | Arrival and Departure: Jan 19 - Feb 7, 2025 |
| Giovanni Canepa | University: University of Geneva | Country: Switzerland | Arrival and Departure: Mar 10 - Apr 11, 2025 |
| David Carchedi | University: George Mason University | Country: United States | Arrival and Departure: Jan 15 - Jan 25, 2025 |
| Pedro Carvalho Silva | University: University of Hradec Králové | Country: Czechia | Arrival and Departure: Jan 28 - Apr 14, 2025 |
| Luca Cassia | University: Melbourne Univ, Australia | Country: Austria | Arrival and Departure: Mar 1 - Mar 30, 2025 |
| Alberto Cattaneo | University: University of Zurich | Country: Switzerland | Arrival and Departure: Jan 19 - Jan 31 (1st visit), 2025 |
| Alberto Cattaneo | University: University of Zurich | Country: Switzerland | Arrival and Departure: Mar 30 - Apr 4 (2nd visit), 2025 |
| Martin Cederwall | University: Chalmers Univ. of Technology | Country: Sweden | Arrival and Departure: Feb 27 - Mar 14, 2025 |
| Igor Chaban | University: Krichever CAS | Country: United States | Arrival and Departure: Jan 16 - Feb 7, 2025 |
| Sachin Chauhan | University: sachin.chauhan@math.uu.se | Country: Uppsala Universitet | Arrival and Departure: April 10 - April 25, 2025 |
| Nicola Ciccoli | University: Università di Perugia | Country: Italy | Arrival and Departure: Feb 23 - Mar 2 (1st visit), 2025 |
| Nicola Ciccoli | University: Università di Perugia | Country: Italy | Arrival and Departure: Mar 23 - Mar 30 (2nd visit), 2025 |
| Ivan Contreras | University: Amherst College | Country: United States | Arrival and Departure: Mar 15 - Mar 22, 2025 |
| Miquel Cueca Ten | University: Georg-August-Universitat, Gottingen | Country: Germany | Arrival and Departure: Jan 26 - Feb 7, 2025 |
| Miquel Cueca Ten | University: Georg-August-Universitat, Gottingen | Country: Germany | Arrival and Departure: Mar 30 - Apr 11, 2025 |
| Mykola Dedushenko | University: Simons Center for Geometry and Physics, USA | Country: United States | Arrival and Departure: Feb 22 - Mar 30, 2025 |
| Michele Del Zotto | University: Uppsala University | Country: Sweden | Arrival and Departure: Jan 15 - Apr 25, 2025 |
| Ivan Dneprov | University: Mons University | Country: Belgium | Arrival and Departure: Apr 11 - Apr 25, 2025 |
| Chiara Esposito | University: University of Salerno | Country: Italy | Arrival and Departure: Apr 6 - Apr 25, 2025 |
| Domenico Fiorenza | University: Sapienza University of Rome, Italy | Country: Italy | Arrival and Departure: Mar 1 - Mar 31, 2025 |
| Daniil Getta | University: St. Petersburg HSE (ONLINE) | Country: Russia | Arrival and Departure: Jan 19 - Mar 7, 2025 |
| Ezra Getzler | University: Northwestern University, Department of Mathematics | Country: United States | Arrival and Departure: Jan 15 - Apr 25, 2025 |
| Alexander Gorsky | University: IITP, Moscow | Country: Russia | Arrival and Departure: Feb 1 - Feb 15, 2025 |
| Pietro Grassi | University: Universit`a del Piemonte Orientale | Country: Italy | Arrival and Departure: Feb 2 - Feb 14, 2025 |
| Maxim Grigoriev | University: Mons University | Country: Belgium | Arrival and Departure: Mar 23 - Apr 19, 2025 |
| Maxim Gritskov | University: St. Petersburg HSE | Country: Russia | Arrival and Departure: Jan 19 - Apr 5, 2025 |
| Marco Gualtieri | University: Toronto U, Canada | Country: Canada | Arrival and Departure: Mar 16 - Mar 29, 2025 |
| Kunal Gupta | University: Uppsala University | Country: Sweden | Arrival and Departure: Jan 15 - Apr 25, 2025 |
| Pedram Hekmati | University: University of Aukland | Country: New Zealand | Arrival and Departure: Mar 1 - Apr 25, 2025 |
| Olaf Hohm | University: Humboldt University Berlin | Country: Germany | Arrival and Departure: Mar 10 - Mar 14, 2025 |
| Chris Hull | University: Imperial College, UK | Country: United Kingdom | Arrival and Departure: Feb 17 - Mar 28, 2025 |
| Noriaki Ikeda | University: Ritsumeikan Universit | Country: Japan | Arrival and Departure: Feb 18 - Apr 1, 2025 |
| Shuhan Jiang | University: Max Planck Institute for Mathematics in the Sciences | Country: Germany | Arrival and Departure: Jan 15 - Apr 25, 2025 |
| Henrik Johansson | University: Uppsala University | Country: Sweden | Arrival and Departure: Jan 27 - Mar 28, 2025 |
| Caleb Jonker | University: University of Toronto | Country: Canada | Arrival and Departure: Jan 26 - Apr 25, 2025 |
| Hitoshi Konno | University: Tokyo University Marine | Country: Japan | Arrival and Departure: Mar 19 - Apr 25, 2025 |
| Niels Kowalzig | University: University of Rome | Country: Italy | Arrival and Departure: Mar 30 - Apr 25, 2025 |
| Joshua Lackman | University: Peking University | Country: China | Arrival and Departure: Mar 26 - Apr 2, 2025 |
| Si Li | University: Tsinghua University | Country: China | Arrival and Departure: Jan 15 - Feb 15, 2025 |
| Ulf Lindström | University: Uppsala University | Country: Sweden | Arrival and Departure: Jan 15 - Apr 25, 2025 |
| Henry Liu | University: Kavli IPMU Tokyo | Country: Japan | Arrival and Departure: Jan 15 - Feb 15, 2025 |
| Pietro Longhi | University: Uppsala University | Country: Sweden | Arrival and Departure: Jan 15 - Apr 25, 2025 |
| Andrey Losev | University: HSE, Moscow, Russia | Country: Russia | Arrival and Departure: Apr 1 - Apr 15, 2025 |
| Roman Mauch | University: Uppsala University | Country: Sweden | Arrival and Departure: Jan 15 - Apr 25, 2025 |
| Leon Menger | University: University of Notre Dame | Country: United States | Arrival and Departure: Jan 15 - Apr 25, 2025 |
| Victor Mishnyakov | University: Nordita, Stockholm | Country: Sweden | Arrival and Departure: Jan 15 - Apr 25, 2025 |
| Antonio Michele Miti | University: Università La sapienza Roma | Country: Italy | Arrival and Departure: Mar 10 - Mar 25, 2025 |
| Pavel Mnev | University: University of Notre Dame | Country: United States | Arrival and Departure: Mar 8 - Mar 13, 2025 |
| Mikhail Movshev | University: Stony Brook U, USA | Country: United States | Arrival and Departure: Mar 30 - Apr 14, 2025 |
| Nikita Nekrasov | University: Simons Center for Geometry and Physics | Country: United States | Arrival and Departure: Mar 25 - Apr 25, 2025 |
| Denis Nesterov | University: ETH Zurich | Country: Switzerland | Arrival and Departure: Jan 19 - Feb 7, 2025 |
| Jakob Palmkvist | University: Chalmers Univ. of Technology | Country: Sweden | Arrival and Departure: Feb 21 - Feb 28, 2025 |
| Nathalie Paquette | University: University of Washington (ONLINE) | Country: United States | Arrival and Departure: Mar 20 - Apr 10, 2025 |
| Jan Pulmann | University: University of Edinburgh | Country: United Kingdom | Arrival and Departure: Jan 28 - Mar 9, 2025 |
| Jan Pulmann | University: University of Edinburgh | Country: United Kingdom | Arrival and Departure: Mar 27 - Apr 9, 2025 |
| Surya Raghavendran | University: University of Edinburgh | Country: United Kingdom | Arrival and Departure: Mar 9 - Mar 16, 2025 |
| Kasia Rejzner | University: University of York | Country: United Kingdom | Arrival and Departure: Jan 22 - Feb 3, 2025 |
| Nicolai Reshetikhin | University: Tsinghua University | Country: China | Arrival and Departure: Apr 10 - Apr 25, 2025 |
| Stefano Ronchi | University: University of Göttingen | Country: Germany | Arrival and Departure: Jan 14 - Apr 26, 2025 |
| Ingmar Saberi | University: LMU Munich | Country: Germany | Arrival and Departure: Feb 7 - Feb 15, 2025 |
| Ivo Sachs | University: Munich U, Germany | Country: Germany | Arrival and Departure: Mar 3 - Mar 17 (1st visit), 2025 |
| Ivo Sachs | University: Munich U, Germany | Country: Germany | Arrival and Departure: Mar 29 - Apr 14 (2nd visit), 2025 |
| Michele Schiavina | University: Pavia U, Italy | Country: Italy | Arrival and Departure: Jan 19 - Jan 31, 2025 |
| Ekaterina Shemyakova | University: University of Toledo | Country: United States | Arrival and Departure: Feb 9 - Mar 8, 2025 |
| Dima Sorokin | University: INFN, Padova | Country: Italy | Arrival and Departure: Mar 9 - Mar 22, 2025 |
| Thomas Strobl | University: Lyon U | Country: France | Arrival and Departure: Mar 1 - Mar 9, 2025 |
| Pelle Steffens | University: Technische Universität München | Country: Germany | Arrival and Departure: Jan 15 - Feb 28, 2025 |
| Mathieu Stienon | University: Penn State U, USA | Country: United States | Arrival and Departure: Feb 15 - Apr 25, 2025 |
| Tim Sulimov | University: St. Petersburg Steklov | Country: optimus260@gmail.com | Arrival and Departure: Jan 19 - Feb 28, 2025 |
| Fridrich Valach | University: University of Hertfordshire | Country: United Kingdom | Arrival and Departure: Jan 27 - Apr 12, 2025 |
| Brenno Carlini Vallilo | University: Andres Bello Natl. U. | Country: Chile | Arrival and Departure: Mar 22 - Apr 5, 2025 |
| Mathai Varghese | University: University of Adelaide | Country: Australia | Arrival and Departure: Mar 1 - Apr 25, 2025 |
| Ted Voronov | University: Manchester U,UK | Country: United Kingdom | Arrival and Departure: Feb 9 - Mar 8, 2025 |
| Stefan Waldmann | University: JMU Würzburg | Country: Germany | Arrival and Departure: Apr 6 - Apr 25, 2025 |
| Minghao Wang | University: Boston Univ | Country: United States | Arrival and Departure: Jan 15 - Jan 25, 2025 |
| Konstantin Wernli | University: University of Southern Denmark | Country: Denmark | Arrival and Departure: Jan 19 - Jan 31, 2025 |
| Konstantin Wernli | University: University of Southern Denmark | Country: Denmark | Arrival and Departure: Apr 4 - Apr 19, 2025 |
| Owen G William | University: University of Massachusetts, USA (ONLINE) | Country: United States | Arrival and Departure: Mar 1 - Mar 15, 2025 |
| Brian Williams | University: Boston U, USA | Country: United States | Arrival and Departure: Feb 5 - Feb 12, 2025 |
| Ping Xu | University: Penn State University | Country: United States | Arrival and Departure: Feb 19 - Apr 3, 2025 |
| Maxim Zabzine | University: Uppsala University | Country: Sweden | Arrival and Departure: Jan 15 - Apr 15, 2025 |
| Polina Zakorko | University: Technion | Country: Russia / Israel | Arrival and Departure: Apr 1 - Apr 25, 2025 |
| Yegor Zenkevich | University: Edinburgh University | Country: United Kingdom | Arrival and Departure: Jan 19 - Jan 24, 2025 |
| Guodong Zhou | University: School of Mathematical Sciences | Country: China | Arrival and Departure: Jan 19 - Jan 24 (1st visit), 2025 |
| Guodong Zhou | University: School of Mathematical Sciences | Country: China | Arrival and Departure: Mar 30 - Apr 6 (2nd visit), 2025 |