This is the online part of the Thematic Programme on "Higher Structures and Field Theory"
Week 1 (August 3 - 7, 2020) Focus week on Topological Orders and Higher Structures - online
Week 2 (August 10 - 14, 2020) Mini-course on The Poisson sigma model and integrable systems (N. Reshetikhin) - online
Week 3 (August 17 - 21, 2020) Workshop on Higher Structures - online
Week 1: "Topological Orders and Higher Structures" during the week of August 3 - 7, 2020
We gather people from topological phases of matters, high energy, field theory, and higher category theory, with mini-courses, talks and breakout rooms, to discuss and exchange rapid development and interaction emerging in/between these domains.
To attend, please register via this link. Once you are registered, you will receive an email with the links of zoom and passwords for talks and breakout sections. Please note the time slots for testing your zoom links:
Sunday, August 2, 2020 from 18:00 - 18:30 MESZ = UTC+2
Monday, August 3, 2020 from 14:30 - 15:00 MESZ = UTC+2
A breakout section is arranged for each speaker (but parallely the same time for a block of speakers), and you can choose freely to enter and leave, to discuss with the speaker. Please be friendly in discussions.
Alex Bullivant: Slides
Ezra Getzler: Slides
Zheng-Cheng Gu: Lecture Notes
Jürgen Fuchs: Slides
Anton Kapustin : Lecture Notes 1
Anton Kapustin: Lecture Notes 2, Part 1
Anton Kapustin: Lecture Notes 2, Part 2
Anton Kapustin: Lecture Notes 3
Yasu Kawahigashi: Slides
Tian Lan: Slides
Christoph Schweigert: Handout Week 1
Juven Wang: Slides
Xio-Gang Wen: Slides
Travis Schedler: Slides
Xiaomeng Xu: Slides
Pavol Severa: Lecture Notes
Nathalie Wahl: Lecture Notes
Konrad Waldorf: Slides
Madeleine Jotz Lean: Slides
Boris Tsygan: Lecture Notes
Details of the course in Week 2, August 10 - 14, 2020:
N. Reshetikhin: The Poisson sigma model and integrable systems
The goal of the mini-course is to explain the relation between the semiclassical quantization of the Poisson sigma model and semiclassical amplitudes in quantum integrable systems.
Lecture 1: We recall the notion of quantum integrable systems and review the semiclassical asymptotics of joint eigenfunctions.
Lecture 2: For two integrable systems, we rewrite the semiclassical asymptotics of the scalar product of joint eigenfunctions of quantum integrals as a path integral of the Poisson sigma model with special boundary conditions.
Lecture 3: We will survey the BV-BFV quantization of the Poisson sigma model and its relation to the Kontsevich star product. This will then be used to find the semiclassical expansion to all orders of eigenfunctions of quantum integrable systems.
The Lectures will also be uploaded and Q&A sections will be provided.
Q&A discussion session: Thursday, August 13, 2020, 18:30 till 20:30 Central European time (Vienna) online via zoom.
Watch the brand new online videos of the Lecture Series of Prof. Reshetikhin first. A link was provided to all invitees.
Week 3: " Higher Structures" during the week of August 17 - 21, 2020
This week will follow week 1 in the formality. To attend, please register via this link. Once you are registered, you will receive an email with the links of zoom and passwords for talks and breakout sections two days before the event. A breakout section is arranged for each speaker (but parallely the same time for a block of speakers), and you can choose freely to enter and leave, to discuss with the speaker. Please be friendly in discussions.
Topological order and higher category -- a physical point of view, I (Introductory talk)
Topological aspects of QFT
Geometry and topology of gapped lattice systems, I (Introductory talk)
Fractonic topological phases: coupled layers and beyond
Topological order and higher category -- a physical point of view, II
Geometry and topology of gapped lattice systems, II
Excitations in strict 2-group higher gauge models of topological phases
A tube algebra prospective on the higher quantum double
Topological order and higher category -- a physical point of view, III
Geometry and topology of gapped lattice systems, III
Topological order, tensor networks and subfactors
PEPS and bicategories
Bulk fields in conformal field theory
On fusion 2-categories
The Drinfeld center of monoidal 2-categories in 3+1D Dijkgraaf-Witten Theory
Higher Morita categories
Algebraic definition of topological order
Discussion Session on "The Poisson sigma model and integrable systems"
Vienna Time = MESZ = UTC+2
Gluing local gauge conditions in BV quantum field theory
Equivariant Lagrangian Floer theory
Automorphisms of rationalizations of the little n-disks operads
Infinity operads: an example.
Hamiltonian flows in Calabi-Yau categories
The string coproduct/cobracket
Stokes phenomenon and Knizhnik–Zamolodchikov equations
Tate-Hochschild cohomology of hypersurfaces and singularity categories
Representation theory for unitary fusion categories.
On LA-Courant algebroids and Poisson Lie 2-algebroids
The AKSZ construction as a fully extended topological field theory
Topological field theories, quantum character varieties and the RIemann-Hilbert correspondence.
2-vector bundles, with applications to spin geometry and twisted K-theory
Dualities and boundary conditions
Traces and higher structures.
|Anton Alekseev||University of Genève|
|Stefan Fredenhagen||University of Vienna|
|Nicolai Reshetikhin||University of California, Berkeley|
|Thomas Strobl||University of Lyon|
|Chenchang Zhu||University of Göttingen|
|Martin Bojowald||Penn State|
|Andrew Bruce||University of Luxembourg|
|Alejandro Cabrera||Federal University of Rio de Janeiro|
|Alberto Cattaneo||University of Zürich|
|Athanasios Chatzistavrakidis||Ruđer Bošković Institute|
|Weiqiang Chen||Southern University of Science and Technology|
|Viet Dang Nguyen||University of Lyon|
|Domenico Fiorenza||La Sapienza University of Rome|
|Klaus Fredenhagen||University of Hamburg|
|Jürgen Fuchs||Karlstad University|
|Ezra Getzler||Northwestern University Evanston|
|Pietro Grassi||University of Eastern Piedmont Amedeo Avogadro|
|Albin Grataloup||University of Montpellier|
|Zheng-Cheng Gu||The Chinese University of Hong Kong|
|Eli Hawkins||University of York|
|Sergio Hörtner||University of Vienna|
|Zhen Huan||University of Göttingen|
|Noriaki Ikeda||Ritsumeikan University|
|Nevena Ilieva||Bulgarian Academy of Science|
|Georgios Karagiannis||Ruđer Bošković Institute|
|Eilind Karlsson||Technische Universität München|
|Rinat Kashaev||University of Genève|
|Zoltan Kokenyesi||Ruđer Bošković Institute|
|Olaf Krüger||University of Vienna|
|Tian Lan||University of Waterloo|
|Florian Naef||Massachusetts Institute of Technology|
|Arthur Parzygnat||Institut des Hautes Etudes Scientifiques|
|Jan Pulmann||University of Genève|
|Kasia Rejzner||University of York|
|Jan Rosseel||Ruđer Bošković Institute|
|Dmitry Roytenberg||University of Amsterdam|
|Christian Saemann||Heriot-Watt University|
|Vladimir Salnikov||University of La Rochelle|
|Henning Samtleben||Ecole Normale Superieure de Lyon|
|Christoph Schweigert||University of Hamburg|
|Eugene Skvortsov||University of Mons|
|Harold Steinacker||University of Vienna|
|Rafał R. Suszek||University of Warsaw|
|Fridrich Valach||Imperial College London|
|David Vergeiner||University of Vienna|
|Konrad Waldorf||University of Greifswald|
|Mayuko Yamashita||Research Institute for Mathematical Sciences|
|Wei Yuan||Academy of Mathematics and Systems Science|