The idea is to bring together people studying mathematical aspects of higher- spin gravity, and experts on the several geometries which appeared in this construction, in particular conformal geometry, the geometry of partial differential equations, as well as differential graded geometry.
The construction of consistent interactions among gauge fields of spin higher than two is a notoriously difficult challenge. Each time some of the obstacles were overcome, various modern mathematical notions played a crucial role in the construction. Although higher-spin geometry in itself might presently remain somewhat elusive, various fundamental mathematical objects have already appeared in higher-spin gravity, originating from conformal geometry (Cartan connections, tractor bundles, Fefferman-Graham ambient metric, etc), the geometry of Partial Differential Equations (e.g. infinite jet bundles and their Cartan distributions), differential graded geometry (such as Q-manifolds, Batalin-Vilkovisky and Becchi-Rouet-Stora-Tyutin formalisms, Alexandrov-Kontsevich-Schwarz-Zaboronsky sigma models) and deformation quantization (for instance Fedosov-like connection, formality theorems, deformation theory, etc). The deep relation between higher-spin gravity and important topics of contemporary mathematics might keep some surprises in store and shed new light on each other. This promises fruitful exchanges from which both communities will benefit.
In addition to research talks by participants it is planned to have several introductory minicourses, including:
1st week (23/08-27/08):
I. Anderson, Introduction to the variational bicomplex
A. Cap, Cartan geometry
A. Cattaneo, An introduction to the BV-BFV formalism
E. Skvortsov, Conformal higher spin gravities and holography
2nd week (30/08-03/09):
M. Eastwood, Conformal differential geometry - the ambient metric and tractor connection
M. Henneaux, Introduction to asymptotic symmetries
A. Mikhailov, Q-manifolds and pure spinors
M. A. Vasiliev, Introduction to HS fields and interactions in AdS
3rd week (06/09-10/09):
T. Adamo, Twistors, ambitwistors and amplitudes
M. Eastwood, Conformal differential geometry - the ambient metric and tractor connection
J. Krasil'shchik, A. Verbovetsky, Geometry of PDEs: an overview
4th week (13/09-17/09):
G. Barnich, Photons and gravitons in a Casimir box
R. Gover, Boundary calculus
B. Kruglikov, Lie equations, Cartan bundles, Tanaka theory and differential invariants
Alberto Cattaneo (University of Zurich) An introduction to the BV-BFV formalism, 1
Alberto Cattaneo (University of Zurich) An introduction to the BV-BFV formalism, 2
(online)
A. Cattaneo (University of Zurich) An introduction to the BV-BFV formalism 3
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Informal extra lecture: Ambitwistors
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Organizers
Name | Affiliation |
---|---|
Xavier Bekaert | - |
Andreas Cap | - |
Stefan Fredenhagen | - |
Maxim Grigoriev | - |
Alexei Kotov | - |
Attendees
Name | Affiliation |
---|---|
Tim Adamo | - |
Konstantin Alkalaev | - |
Ian Anderson | - |
Glenn Barnich | - |
Thomas Basile | - |
Klaus Bering | - |
Nicolas Boulanger | - |
Andrea Campoleoni | - |
Alberto Cattaneo | - |
Luca Ciambelli | - |
Oscar Cosserat | - |
David De Filippi | - |
Arnaud Delfante | - |
Ivan Dneprov | - |
Laura Donnay | - |
Boris Doubrov | - |
Cristina Draper Fontanals | - |
Michael Eastwood | - |
Dario Francia | - |
Jordan Francois | - |
Jordi Frias | - |
Oscar Fuentealba | - |
Olga Gelfond | - |
Rod Gover | - |
Vyacheslav Gritsaenko | - |
Daniel Grumiller | - |
Aliaksandr Hancharuk | - |
Christoph Harrach | - |
Marc Henneaux | - |
Yannick Herfray | - |
Daniel Hutchings | - |
Carlo Iazeolla | - |
Noriaki Ikeda | - |
Euihun Joung | - |
Branislav Jurco | - |
Igor Khavkine | - |
Yvette Kosmann-Schwarzbach | - |
Niels Kowalzig | - |
Joseph Krasil’shchik | - |
Kirill Krasnov | - |
Olaf Krüger | - |
Boris Kruglikov | - |
Svatopluk Krysl | - |
Sergei Kuzenko | - |
Kristiansen Lara | - |
Camille Laurent-Gengoux | - |
Rob Leigh | - |
Thomas Leistner | - |
Iva Lovrekovic | - |
Sucheta Majumdar | - |
Omid Makhmali | - |
Chrysoula Markou | - |
Mikhail Markov | - |
Javier Matulich Fabres | - |
Ruslan Metsaev | - |
Andrei Mikhailov | - |
Nikita Misuna | - |
Karapet Mkrtchyan | - |
Pavel Mnev | - |
Kevin Morand | - |
Timothy Moy | - |
Turmoli Neogi | - |
Katharina Neusser | - |
Francisco José Palomo | - |
Enrico Parisini | - |
Noémie Parrini | - |
Mateo Paulišić | - |
Simon Pekar | - |
Alfredo Perez | - |
Michael Ponds | - |
Dmitry Ponomarev | - |
Stefan Prohazka | - |
Nicolai Reshetikhin | - |
Jan Rosseel | - |
Dmitrii Rudinskii | - |
Romain Ruzziconi | - |
Leonid Ryvkin | - |
Ivo Sachs | - |
Katja Sagerschnig | - |
Vladimir Salnikov | - |
Jakob Salzer | - |
Henning Samtleben | - |
Andrea Santi | - |
Paolo Saracco | - |
Michele Schiavina | - |
Pavel Sereda | - |
Alexey Sharapov | - |
Georgy Sharygin | - |
Ekaterina Shemyakova | - |
Eugene Skvortsov | - |
Jan Slovak | - |
Harold Steinacker | - |
Thomas Strobl | - |
Per Sundell | - |
Tom Sutherland | - |
Arman Taghavi-Chabert | - |
Dennis The | - |
Ricardo Troncoso | - |
Arkady Tseytlin | - |
Mirian Tsulaia | - |
Mikhail Vasiliev | - |
Alexander Verbovetsky | - |
Luca Vitagliano | - |
Alexander Voronov | - |
Theodore Voronov | - |
Ivan Vuković | - |
Jan Vysoky | - |
Andrew Waldron | - |
Raphaela Wutte | - |
Alexander Yan | - |
Yihao Yin | - |
Lenka Zalabová | - |