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Online seminář z diferenciální geometrie - 17.5.2021 |
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Seminář z diferenciální geometrie pokračuje 17.5.2021 od 10:00 online na platformě MS Teams
Připojení ke schůzce ZDE. Radoslaw Kycia (Masarykova univerzita):CoPoincare lemma and applications to physics Abstrakt:
I will outline the construction of the homotopy operator for codifferential defined on Riemannian manifolds. This notion can be used to solve, in a star-shaped open subset, many equations of mathematical physics including Dirac, Maxwell and string theory problems. I will also present an intriguing correspondence between (co)homotopy operator and Clifford algebra. I will also discuss various incarnations of spinors that appear in the literature. The talk is based on the draft [2] and [1].
[1]Radoslaw Kycia, The Poincare lemma, antiexact forms, and fermionic quantum harmonic oscillator, Results in Mathematics 75, 122 (2020)
[2] Radoslaw Kycia, The Poincare lemma for codifferential, anticoexact forms, and applications to physics, arXiv: 2009.08542 [math.DG] |
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Aktualizováno Středa, 12 Květen 2021 15:36 |
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Online seminář z algebry - 6.5.2021 |
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Další seminář z algebry se koná 6.5.2021 vyjimečně od 14.00 online na platformě ZOOM. Informace pro připojení a další program semináře je zde. Walter Tholen
Spaces vs Categories, Perfect Maps vs Discrete Cofibrations
Abstrakt:
We consider perfect maps of topological spaces and discrete cofibrations of categories to guide us into Burroni's notions of T-category and T-functor. In that environment we establish a so-called comprehensive factorization system that entails the classical Street-Walters system, as well as the (antiperfect, perfect)-system for continuous maps of Tychonoff spaces known since the 1960s.
(Based on joint work with Leila Yeganeh)
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Aktualizováno Úterý, 04 Květen 2021 10:05 |
