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.