Seminář z diferenciální geometrie |
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Seminář se koná v učebně M5 (a/nebo online) Ústavu matematiky a statistiky, budova 08, areál Přírodovědecké fakulty, Kotlářská 2, Brno, vždy v 10:00.
Vedoucí semináře:
- Prof. RNDr. Jan Slovák, DrSc.,
- Prof. RNDr. Josef Janyška, DSc.,
- Doc. Josef Šilhan, PhD. (programový vedoucí),
Přednášky v jarním semestru 2022
- 9. 5. 2022 (start at 10:00, lecture room M5 and MSTeams)
Josef Šilhan Modified Patterson-Walker construction
Abstract: The classical Patterson-Walker (spit signature) metric is defined on the cotangent bundle of an affine manifold. A slight generalisation leads to a projective-to conformal version of this construction. There are several ways how to modify this construction and we shall discuss certain class of these modifications in details. In particular, we shall identify conformal symmetries 'upstairs' in terms of suitable projective data 'downstairs'. We shall also discuss almost Einstein scales in a similar way. (This is a joint work with M. Hammerl, K. Sagerschnig a V. Žádník.)
- 3. 5. 2022 (start at 10:00, lecture room M3 and MSTeams)
Gerd Schmalz CR manifolds with symmetries and the embeddabilty problem
Abstract: It is a classical result by Jacobowitz that a hypersurface type CR manifold $M$ with complex structure $V$ can be locally realised as a hypersurface in complex space if and only if there exists a complex vector field $Z$ transversal to $V$ and such that $[Z,V]\subseteq V$. Hill and Nacinovich proved the following generalisation: If $(M,V)$ is a CR manifold of type $(n,k)$ and there exists a solvable Lie algebra of complex vector fields of dimension $\ell\le k$ transversal to $V$ then $(M,V)$ can be embedded into a CR manifold $(M'V')$ of type $(n+\ell, k-\ell)$. In particular, if $k=\ell$ this is an embedding into complex space. I will present a generalisation for Hill and Nacinovich's theorem without the assumption of solvability of the Lie algebra. This is joint work with M. Cowling and A.Ottazzi (UNSW) and Masoud Ganji (UNE).
- 14. 2. 2022
Ondřej Hulík Generalized and Exceptional geometry and its relation to supergravity and M theory
Přednášky v podzimním semestru 2021
- 29. 11. 2021
Mauro Mantegazza Towards a non-commutative generalization of the jet functor
- 22. 11. 2021
Giovanni Russo Nearly Kahler six-manifolds with two-torus symmetry
- 25. 10. 2021
David Sykes On geometry of 2-nondegenrate, hypersurface-type Cauchy-Rieman structures encoded by dynamical Legendrian contact structures
- 11. 10. 2021
Henrik Winther Differential geometry of $SO*(2n)$-structures and $SO*(2n)Sp(1)$-structures
Přednášky v podzimním semestru 2017
- 13. 11. 2017
Radoslaw Kycia Topological modelling of nuclear pasta phases
- 6. 11. 2017
Jan Slovák Cartan-Kähler theory -- application to quaternionic contact structures
- 30. 10. 2017
Josef Šilhan Interesting connections in the projective class, and obstructions
Přednášky v jarním semestru 2017
- 22. 5. 2017
Henrik Winther Non-degenerate Almost- and Para-Complex structures, and their Symmetries
- 24. 4. 2017
Sumit Kaushik Curve Evolution under Extrinsic metrics for DTI processing
- 10. 4. 2017
Jan Gregorovič On standard models of CR and para--CR manifolds
- 20. 3. 2017
Vojtěch Žádník The curves, or from Frenet apparatus to Thomas tractors and back again
- 6. 3. 2017
Jan Slovák: Constant curvature models in sub-Riemannian geometry
Přednášky v podzimním semestru 2016
Přednášky v jarním semestru 2016
Přednášky v podzimním semestru 2015
- 7. 12. 2015
Katja Sagerschnik Nurowski's conformal structures with almost Einstein scales
- 30. 11. 2015
Matthew Randall
- 23. 11. 2015
Vojtěch Žádník Report on Lie contact structures
- 2.11.2015
Gueo Grantcharov (the Florida International University, USA): On HKT geometry
- 26.10.2015
Matthew Burke Synthetic Lie Theory Part I: An Introduction to
Synthetic Differential Geometry
Parts II and III will be presented on the seminar on algebra on
October 29 and Novenber 5 (1pm, seminar room)
12.5.2015 Anton Galaev Holonomy algebras of Einstein pseudo-Riemannian manifolds
Přednášky v jarním semestru 2015
Přednášky v podzimním semestru 2014
- 10. 11. 2014
Georgy Sharygin Local formulas for characteristic classes
- 3. 11. 2014
Dmitri Alekseevski Homogeneous pseudo-Riemannian Einstein metrics associated with graded semisimple Lie algebras
- 13. 10. 2014
Ivan Kolář On the vertical Weil bundles
- 6. 10. 2014
Anton Galaev How to compute the holonomy algebra of a Lorentzian manifold
- 24. 9. 2014
Stefan Ivanov The Lichnerowicz-Obata sphere theorems on a quaternionic contact manifold of dimension bigger than seven"
- 22. 9. 2014
Dimiter Vassilev Lichnerowicz-Obata sub-laplacian eigenvalue theorem in CR geometry under a positive "Ricci" bound
Přednášky v jarním semestru 2014
- 12. 5. 2014
Dimiter Vassilev Quaternionic contact Liouville theorem and applications
- 5. 5. 2014
Ivan Kolář On general connections
- 14. 4 .2013
Dmitri Alekseevski
- 7. 4. 2014
Yaroslav Bazaykin Stability of integral persistence diagrams
- 24. 3. 2014 ,12:00--13:50, lecture room M4
25. 3. 2014, 10:00--11:50, lecture room MS1 27. 3. 2014, 10:00--11:50, lecture room M4 31. 3. 2014, 12:00--13:50, lecture room M4 Evgeny Malkovich Construction of metrics with special holonomies via geometrical flows (series of lectures)
- 10. 3. 2014
Katja Sagerschnig Conformal structures in dimension four and generic rank two distributions in dimension five
- 3. 3. 2014
Anton Galaev Irreducible holonomy algebras of Riemannian supermanifolds
Přednášky v podzimním semestru 2013
- 25. 11. 2013
Jonathan Kress Recent progress in superintegrable systems
- 18.11. 2013
Ivan Minchev Quaternionic contact hypersurfaces in hyper-Kaehler geometry
- 11. 11. 2013
Anton Galaev Holonomy groups of superconnections on supermanifolds
- 4. 11. 2013
Giovanni Moreno Meta-symplectic geometry of 3rd order Monge-Ampére equations
- 21. 10. 2013
Jan Gregorovič Generalized symmetries of homogeneous parabolic geometries
- 7. 10. 2013
Ivan Kolář General connections and the Froehlicher-Nijenhuis bracket
- 30. 9. 2013
Dmitri Alekseevsky Classification of cohomogeneikty one Kaehler G-manifoldsÂÂÂÂÂÂÂÂÂ of a compact semisimple groupÂÂÂÂÂÂÂÂÂ $G$ in terms of painted Dynkin diagrams
Přednášky v jarním semestru 2013
- 13. 5. 2013
John Ryan Dirac type operators and conformal groups
- 15. 4. 2013
Christian Gustad
- 8. 4. 2013
Anton Galaev Pseudo-Riemannian manifolds with recurrent spinor fields
- 25. 3. 2013
Josef Šilhan On symmetries of the Laplacian
- 18. 3. 2013
Ivan Kolář On natural transformations of Weil bundles
- 4. 3. 2013
Rikard von Unge Generalized Kahler reduction
- 25. 2. 2013
Joseph Krasiľshchik On geometry of integrable systems and its cohomological background
Přednášky v podzimním semestru 2012
- 10. 12. 2012
Jan Slovák Conformal Fedosov manifolds
- 26. 11. 2012
Dmitri Alekseevsky TBA
- 19. 11. 2012
Ivan Kolář On the functorial prolongations of fiber bundles
- 12. 11. 2012
Ioannis Chrysikos The Dirac operator on non-naturally reductive spaces
- 29. 10. 2012
Andrea Santi On the automorphism group of extended Poincaré structures
- 15. 10. 2012
Anton Galaev Algorithm for deRham-Wu decomposition for Riemannian and Lorentzian manifolds
- 1. 10. 2012
Jan Gregorovič Geometric structures invariant to symmetries
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Aktualizováno Úterý, 03 Květen 2022 09:39 |