The upcoming talk
At the next session of the TCS,
on the 2nd of April 2025,
at 2:30 – 3:30 p.m. CET / 3:30 – 4:30 p.m. EET
Bartosz Prech
(Faculty of Physics, University of Warsaw)
shall talk about
“Symplectic approach to contact integrators“.
Abstract
In my talk, I shall explore a possible approach to constructing a geometric integrator in the context of contact geometry. Generally speaking, geometric integrators are numerical algorithms that preserve the geometric structure of the underlying differential equations, making them particularly useful for long-term numerical integration. The first part of the talk will be devoted to introducing these integrators. Subsequently, I shall review the necessary concepts of contact geometry, with a particular focus on the novel approach using symplectic homogeneous manifolds. The symplectization of a contact manifold is especially useful in numerical contexts, as it enables the application of well-established symplectic integrators. I will present this construction in detail and discuss potential challenges. Lastly, I shall thoroughly illustrate this approach to contact integrators through two examples: the damped harmonic oscillator and the dynamics on a Möbius strip. This talk is based on a project I conducted under the supervision of Katarzyna Grabowska.
The talk is planned for one hour. There will be a possibility to listen to the talk at FUW in Room 1.03. Tea and cookies will be served.
(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, University of Groningen) | The differential graded Lie algebra of undirected graphs |
| April 16th, 2025 | Tilmann Wurzbacher (IECL Metz) | TBA |
| April 23rd, 2025 | Rafał R. Suszek (KMMF WFUW) | TBA |
| April 30th, 2025 | ||
| 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 |