Invariant differential operators on manifolds with a given geometric structure and their aplications
Thesis title in Czech: | Invariantní diferenciální operátory na varietách se zadanou geometrickou strukturou a jejich aplikace |
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Thesis title in English: | Invariant differential operators on manifolds with a given geometric structure and their aplications |
Key words: | Parabolické geometrie, invariantní diferenciální operátory, Bernstein-Gelfand-Gelfandovy posloupnosti, operátory zvyšování a snižování helicity, přeurčené systémy parciálních diferenciálních rovnic. |
English key words: | Parabolic geometries, invariant differential operators, Bernstein-Gelfand-Gelfand sequences, helicity rising and lowering operators, overdetermined systems of partial differential equations. |
Academic year of topic announcement: | 2015/2016 |
Thesis type: | dissertation |
Thesis language: | angličtina |
Department: | Mathematical Institute of Charles University (32-MUUK) |
Supervisor: | prof. RNDr. Vladimír Souček, DrSc. |
Author: | hidden - assigned and confirmed by the Study Dept. |
Date of registration: | 03.10.2016 |
Date of assignment: | 03.10.2016 |
Confirmed by Study dept. on: | 03.10.2016 |
Guidelines |
Po prostudování základní specializované literatury v oboru diferenicální geometrie (A. Cap, J. Slovák: Parabolic geometries) a v teorii representací (Fulton, Harris: Representation theory) bude třeba se seznámit se současnou časopiseckou literaturou a dále pracovat podle pokynů školitele. |
References |
A. Cap, J. Slovak: Parabolic geometries, Math. Surveys and Monographs, vol.154, AMS, 2009.
A. Cap., J. Slovak, V. Soucek: Bernstein-Gelfand-Gelfand sequences, Ann. of Math., 154, 2001, 97-113. W. Fulton, J. Harris: Representation theory, GTM 129, Springer, 1991. D. Calderbank, T. Diemer, V. Soucek: Ricci-corrected derivatives and invariant differential operators, Dif. Geom. Appl., 23, 2005, 149-175. D. Calderbank, M. Eastwood, V. Matveev, K. Neusser: C=projective geometry, preprint, arXiv:1512.04516v1. |