Kosmann-Schwarzbach Y. Brackets and torsions (abstract): Difference between revisions
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| title = Brackets and torsions | | title = Brackets and torsions | ||
| abstract = The classical brackets of Schouten and of Nijenhuis are fundamental in geometry as well as in the theory of integrable systems. We shall introduce lesser known concomitants, the Haantjes torsion that serves to generalize the recursion operators of bihamiltonian systems and the Yano-Ako torsion that serves to define Frobenius manifolds, and we shall show how these two torsions are related, and related to the Nijenhuis torsion. | | abstract = The classical brackets of Schouten and of Nijenhuis are fundamental in geometry as well as in the theory of integrable systems. We shall introduce lesser known concomitants, the Haantjes torsion that serves to generalize the recursion operators of bihamiltonian systems and the Yano-Ako torsion that serves to define Frobenius manifolds, and we shall show how these two torsions are related, and related to the Nijenhuis torsion. | ||
| slides = | | slides = [[Media:Kosmann-SchwarzbachTrieste2018slides.pdf|Kosmann-SchwarzbachTrieste2018slides.pdf]] | ||
| references = | | references = | ||
| event = [[Local and Nonlocal Geometry of PDEs and Integrability]], 8-12 October 2018, SISSA, Trieste, Italy.<br>''The conference in honor of [[Joseph Krasil'shchik]]'s 70th birthday.'' | | event = [[Local and Nonlocal Geometry of PDEs and Integrability]], 8-12 October 2018, SISSA, Trieste, Italy.<br>''The conference in honor of [[Joseph Krasil'shchik]]'s 70th birthday.'' | ||
| 79YY-MM-DD = 7981-89-89 | | 79YY-MM-DD = 7981-89-89 | ||
}} | }} | ||
Latest revision as of 09:07, 31 October 2018
Speaker: Yvette Kosmann-Schwarzbach
Title: Brackets and torsions
Abstract:
The classical brackets of Schouten and of Nijenhuis are fundamental in geometry as well as in the theory of integrable systems. We shall introduce lesser known concomitants, the Haantjes torsion that serves to generalize the recursion operators of bihamiltonian systems and the Yano-Ako torsion that serves to define Frobenius manifolds, and we shall show how these two torsions are related, and related to the Nijenhuis torsion.
Slides: Kosmann-SchwarzbachTrieste2018slides.pdf
Event: Local and Nonlocal Geometry of PDEs and Integrability, 8-12 October 2018, SISSA, Trieste, Italy.
The conference in honor of Joseph Krasil'shchik's 70th birthday.