The upcoming talk
At the next session of the TCS,
on the 15th of October 2025,
at 2:15 – 4:15 p.m. CET / 3:15 – 5:15 p.m. EET
Athanasios Chatzistavrakidis
(Ruđer Bošković Institute, Zagreb)
shall talk about
“Basic curvature tensors in geometry and physics“.
Abstract
The concept of basic curvature first appeared implicitly in the study of deformed infinitesimal symmetries and Cartan-Lie algebroids. Subsequently, it was used to define the adjoint and coadjoint representations for Lie algebroids. In physics, the basic curvature tensor first appeared in the BV formulation of (twisted) Poisson sigma models. Apart from these instances, there are several other related problems in geometry and physics where the basic curvature and its accompanying structures become important. In the first part of this talk, I will discuss basic connections and basic curvature tensors for Lie, Courant and, partially, Lie n-algebroids and briefly about their relation to dg manifolds and their Atiyah class. In the second part of the talk, I will focus on applications in physics. I will discuss a unifying framework for supersymmetric Poisson sigma models, and I will briefly comment on the construction of gravity models from a Lie 2-algebroid perspective and on the BV formulation of Dirac and twisted Courant sigma models.
(All seminar talks are given on the online zoom platform. Unless requested otherwise by the speaker or required by the circumstances, and then specifically indicated in the announcement, the talks consist of two halves, 45 minutes each, separated by a 15-minute break. The web link for every session is circulated via the TCS mailing list. In order to be enlisted, please contact the Organisers.)
Calendar 2025/2026
| Date | Speaker (affiliation) | Title (with a link to the slides, whenever available) |
| October 15th, 2025 | Athanasios Chatzistavrakidis (Ruđer Bošković Institute, Zagreb) | Basic curvature tensors in geometry and physics |
| October 29th, 2025 | Martha Valentina Guarín Escudero (Charles University, Faculty of Mathematics and Physics, Prague) | TBA |
| November 12th, 2025 | Marcin Piątek (Instytut Fizyki, Uniwersytet Szczeciński) | Geometric Foundations of Celestial Amplitudes |
| November 26th, 2025 | ||
| December 10th, 2025 | Rafał R. Suszek (KMMF, WFUW) | Stacky Dynamics in the Shadows of Principaloid Bundles |
| January 14th, 2026 | Richard J. Szabo (School of Mathematical and Computer Sciences, Heriot-Watt University, Edinburgh) | TBA |
| January 28th, 2026 | ||
| February 25th, 2026 | Mikołaj Korzyński (CFT PAN) | TBA |
| March 11th, 2026 | ||
| March 25th, 2026 | ||
| April 8th, 2026 | ||
| April 22nd, 2026 | ||
| May 6th, 2026 | ||
| May 20th, 2026 | ||
| June 3rd, 2026 | ||