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MAFIA seminar: Jan Kotrbatý (FSU Jena) - Octonion-valued forms and the canonical 8-Form on Rieman
19.06.2019 13:15
Popis:
Srdečně vás zveme na další MAFIA Seminar. Pozvání přijal Jan Kotrbatý (Friedrich Schiller University Jena) a přednášet bude na téma Octonion-valued forms and the canonical 8-Form on Riemannian manifolds with a Spin(9)-structure. Seminář se koná v úterý 19. 6. 2019 od 13.15 hodin v budově FJFI Trojanova 13, Praha 2, v místnosti T112.
Abstract:
It is well known that there exists a unique Spin(9)-invariant 8-form on the octonionic plane. Over the decades, this fundamental invariant has been studied and described in number of equivalent ways.
Within the talk, a new explicit algebraic formula is given in terms of octonion-valued coordinate 1-forms. Our approach thus naturally generalizes the standard expression of the Kahler 2-form. For completeness, analogous identities for the Kraines form, the Cayley calibration and the associative calibration are presented as well.
- Místo konání
- Budova FJFI ČVUT v Praze, Trojanova 13, Praha 2
- Pořadatel
- Fakulta jaderná a fyzikálně inženýrská ČVUT v Praze
- Kontaktní osoba
- Ing. Matěj Tušek, Ph.D., matej.tusek@fjfi.cvut.cz