### Info

This seminar features recent results at the intersection of high-energy physics, string theory, and geometry and topology.

** Prerequisites:** None. Everyone is welcome. To receive announcements for
this seminar, and for the advertisement of other talks at the intersection of physics and
geometry in Heidelberg,
you may subscribe to the
Mailing List.

** Time and Place:** Regularly: Monday, 2 p.m.s.t., MATHEMATIKON
SR 3

Alternatively: Tuesday or Thursday, 2 p.m.s.t., various locations (or as noted below).

** Online seminar:** During the coronavirus crisis the seminar is held online in cooperation with
LMU Munich
and
University of Vienna.
Please contact the organizers by e-mail to receive the link to the online seminar.

Standard time in the Summer 2021 is Monday, 3 p.m.c.t., unless indicated otherwise.

### Online Schedule

Date | Speaker | Title, Abstract | |
---|---|---|---|

October 25 | Michele Schiavina (ETH - Zürich) | BV-BFV approach to General Relativity | |

The BV-BFV formalism is a combination of the BV approach to quantisation of Lagrangian field theories with local symmetries and the BFV approach to quantisation of constrained Hamiltonian systems. It aims to assign compatible bulk-boundary cohomological data to a Lagrangian field theory on a manifold with boundary (and higher codimension strata), in view of a perturbative quantisation scheme that is compatible with cutting and gluing. General Relativity (GR), seen as a field theory, is a very important example to phrase within this setting, and one in which interesting new insight and complications emerge already at the classical level. In this talk I will present a summary of investigations on GR within the BV-BFV formalism, as well as other diffeomorphism-invariant theories, which have given access to rich and nontrivial information about the boundary structure of gravitational models. However, I will argue that the featured examples present unexpected complications for the program of quantisation with boundary (and higher strata). Indeed, I will show how the BV-BFV construction provides a filter to refine the notion of classical equivalence of field theories, which distinguishes theories in terms of their bulk-boundary behaviour, suggesting that some realisations — among the class of classically equivalent ones—may be more suitable for quantisation with boundary. This allows us to differentiate between, e.g., metric and coframe gravity as well as different string theory models and their 1d analogues. This is a summary of joint works with G. Canepa and A.S. Cattaneo. | |||

November 8 | Yongbin Ruan (IASM - Zhejiang University) | TBA | |

TBA | |||

November 15 | Pavel Putrov (ICTP) | TBA | |

TBA | |||

November 29 | Kevin Costello (Perimeter Institute) | TBA | |

TBA | |||

December 6 | Mykola Dedushenko (Caltech) | TBA | |

TBA | |||

December 17 | Daniel Roggenkamp (Mannheim Universität) | TBA | |

TBA |

### Organizers

Prof. J. Walcher, walcher@uni-heidelberg.de

Dr. Simone Noja,
noja@mathi.uni-heidelberg.de