The upcoming talk
At the next session of the TCS,
on the 30th of April 2025,
at 2:15 – 4:00 p.m. CET / 3:15 – 5:00 p.m. EET
Casey A. Blacker
(Augusta University)
shall talk about
“Geometric and algebraic reduction of multisymplectic manifolds“.
Abstract
A symplectic Hamiltonian manifold consists of a Lie group action on a symplectic manifold, together with the additional structure of a moment map, which encodes the group action in terms of the assignment of Hamiltonian vector fields. In special cases, the moment map determines a smooth submanifold to which the Lie group action restricts and the resulting quotient inherits the structure of a symplectic manifold. In every case, it is possible to construct a reduced Poisson algebra that plays the role of the space of smooth functions on the reduced symplectic manifold.
In this talk, we will discuss an adaptation of these ideas to the multisymplectic setting. Specifically, we will exhibit a geometric reduction procedure for multisymplectic manifolds in the presence of a Hamiltonian action, an algebraic reduction procedure for the associated L-infinity algebras of classical observables, and a comparison of these two constructions. This is joint work with Antonio Miti and Leonid Ryvkin.
(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 2024/2025
| Date | Speaker (affiliation) | Title (with a link to the slides, whenever available) |
| October 9th, 2024 | Thomas Strobl (ICJ, Université Claude Bernard Lyon 1) | From Gauge Theories to the octonionic Lie groupoid |
| October 16th, 2024 | Calin I. Lazaroiu (IFIN-HH, București & UNED, Madrid) | Consistency conditions and fiducial 2-field models for SRRT inflation |
| October 23rd, 2024 | Alexander Schmeding (NTNU, Trondheim) | Linking infinite-dimensional and higher differential geometry |
| October 30th, 2024 | Konrad Waldorf (Universität Greifswald) | Buscher rules in general topology |
| November 6th, 2024 | Mikołaj Rotkiewicz (MIMUW, Warsaw) | Exploring the structure of higher algebroids |
| November 13th, 2024 | No seminar on this date. | – |
| November 20th, 2024 | Participation in an online lecture by Alain Connes (Collège de France & IHES, Paris) at IM PAS | From class field theory to ζ spectral triples |
| November 27th, 2024 | Marian Aprodu (IMAR, București) | Resonance and vector bundles |
| December 4th, 2024 | Carlos Shahbazi (UNED, Madrid) | A class of differential-geometric problems in supergravity |
| December 11th, 2024 | No seminar on this date. | – |
| December 18th, 2024 | Anton Alekseev (Université de Genève) | Jackiw-Teitelboim gravity, Teichmüller spaces, and Virasoro algebra |
| January 8th, 2025 | Ingo Runkel (Universität Hamburg) | Topological symmetries and their gaugings in 2dCFT and 3dTFT |
| January 15th, 2025 | No seminar on this date. | – |
| January 22nd, 2025 | Peter Kristel (Universität Greifswald) | An Eclectic Excursion into 2-Categorical Geometry |
| February 26th, 2025 | No seminar on this date. | – |
| March 5th, 2025 | Katarzyna Grabowska (KMMF WFUW) | Dirac algebroids in Hamiltonian and Lagrangian dynamics – theory and examples |
| March 12th, 2025 | Asier López-Gordón (IM PAN) | Homogeneous symplectic manifolds and integrable contact systems |
| March 19th, 2025 | Leonid Ryvkin (ICJ, Université Claude Bernard Lyon 1) | Introduction to singular foliations |
| March 26th, 2025 | Witold Respondek (INSA Rouen Normandie) | Linearization of mechanical control systems |
| April 2nd, 2025 | Bartosz Prech (FUW) | Symplectic approach to contact integrators |
| April 9th, 2025 | Arthemy V. Kiselev (BIM, Rijksuniversiteit Groningen) | The differential graded Lie algebra of undirected graphs |
| April 16th, 2025 | Tilmann Wurzbacher (IECL Metz) | Geometric prequantisation: from symplectic to two-plectic manifolds |
| April 23rd, 2025 | Rafał R. Suszek (KMMF WFUW) | (Natural Constructions with) Principaloid Bundles |
| April 30th, 2025 | Casey A. Blacker (Augusta University) | Geometric and algebraic reduction of multisymplectic manifolds |
| May 7th, 2025 | ||
| May 14th, 2025 | ||
| May 21st, 2025 | Nils Carqueville (Universität Wien) | Higher structures in topological quantum field theory |
| May 28th, 2025 | ||
| June 4th, 2025 | ||
| June 11th, 2025 |