Seminář se koná v učebně M5 Ústavu matematiky a statistiky, budova 08, areál Přírodovědecké fakulty, Kotlářská 2, Brno, vždy v 10:00.

Vedoucí semináře:

• Prof. RNDr. Ivan Kolář, DrSc.,
• Prof. RNDr. Jan Slovák, DrSc.,
• Prof. RNDr. Josef Janyška, DSc. (programový vedoucí),
• Doc. RNDr. Miroslav Doupovec, CSc.

Seminář je podporován projektem Algebraické metody v geometrii s  potenciálem k aplikacím, operačního programu Vzdělávání pro konkurenceschopnost, číslo CZ.1.07/2.3.00/20.0003.

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

• 12. 12. 2016
  Josef Šilhan
  Curves in conformal and projective geometries
  
  
  
• 21. 11., 2016, the lecture room M5:
  10.00
  Miroslav Kureš
  TBA
  
  
  
  
• 14. 11. 2016, the lecture room M5:
  10.00
  Phan Thanh Nam
  Recent progress on the ionization problem
  
  
  
• 31. 10. 2016
  10.00 - 10.50
  
  Ivan Minchev
  On the generality of quaternionic contact structures
  
  11.00 - 11.50
  Gerd Schmalz
  Chern-Moser theory for para-CR-manifolds and degenerate multi-contact structures
  
  
  
• 24. 10. 2016
  Ilya Kossovskiy
  The Associated Differential Equations Method in CR-geometry
  
  
  
• 10. 10. 2016
  Arman Taghavi-Chabert
  

Přednášky v jarním semestru 2016

• 13. 6. 2016
  Stefan Ivanov
  The quaternionic contact Yamabe problem
  
  
  
• 9. 5. 2016
  Josef Šilhan
  Higher supersymmetries
  
  
  
• 25. 4. 2016
  Diana Barseghyan (University of Ostrava)
  Spectral analysis of a class of Schroedinger operators exhibiting a
  parameter-dependent spectral transition

  
  
  

• 11. 4. 2016
  Anton Galaev
  Special Kähler-Lorentz metrics
  
  
  
  
• 14. 3. 2016
  Jan Slovák
  
  
  
  
• 7. 3. 2016
  Vladimir Ezhov (Flinders University/ MPIM Bonn)
  New familiy of unbounded homogeneous tube domains
  in Cⁿ
  
  
  
• 29. 2. 2016
  Ioannis Chrysikos
  Spin and metaplectic structures on homogeneous spaces
  
  

• 22. 2. 2016
  Matthias Hammerl (University of Greifswald):
  Holography of BGG-Solutions

  
  

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

• 18.5.2015
  Yaroslav Bazaykin
  Numerical analysis of topological characteristics of three-dimensional geological models of oil and gas fields
  
  Zoran Škoda
  Hopf algebroids of differential operators
  
  
  
• 11.5.2015
  Ioannis Chrysikos
  Killing spinors with torsion and applications
  
  
  
  
• 27. 4. 2015
  Zdeněk Dušek
  How many are affine connections of special types
  
  
  
• 20. 4. 2015
  Michal Marvan
  Integrable surfaces II
  
  
  
• 13. 4. 2015
  Arman Taghavi-Chabert:
  Twistorial description of null foliations
  
  

• 30.3.2015
  Dmitri Alekseevsky
  Conformally homogeneous manifolds

  
  

• 2. 3. 2015
  Anton Galaev
  Classification of third-order symmetric Lorentzian manifolds
  
  
  
• 9. 3. 2015
  Jan Slovák
  Linearized metrizability problem for Parabolic Geometries
  -- general procedure and examples
  

Přednášky v podzimním semestru 2014

• 15.12. 2014
  Christian Gustad
  Regular and singular contact actions of Lie algebras
  
  

• 8. 12. 2014
  Ioannis Chrysikos
  Killing and twistor spinors with torsion on compact naturally reductive spaces
  
  
  
• 1. 12. 2014
  Jean-Philippe Michel
  Dirac operators and their symbols
  

• 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-manifolds  of
  a compact semisimple group  $G$ 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