Selected lectures 

• "BGG sequences - a Riemannian perspective", 2nd International Conference on Differential Geometry, Fes, Morocco, October 2024, Presentation (PDF),
   
• "Partial G-structures and partial Cartan Geometries", Twistor theory, Isaac Newton Institute, Cambridge, UK, September 2024. Presentation (PDF), video of talk (youtube).
   
• "Bounded Poincare operators for twisted complexes and BGG complexes", 44th Winter School Geometry and Physics, Srni, Czech republic, January 2024. Presentation (PDF),
   
• "Poisson transforms, the BGG complex and discrete series representations", Workshop on Parabolic Geometry and Related Topics, Institute for Basic Science (IBS), Daejeon, Korea, October 2023. Presentation (PDF),
   
• "Induced para-Kähler-Einstein metrics on cotangent bundles", Training school on Cartan Geometry of the COST-action CA21109 - CaLISTA, September 2023. Presentation (PDF), Video of the talk (via youtube).
   
• "On sub-Riemannian structures (in low dimensions)", kick of meeting of the COST-action CA21109 - CaLISTA, June 2023. Presentation (PDF),
   
• "BGG sequences and generalizations of the Korn inequality", 43rd Winter School Geometry and Physics, Srni, Czech republic, January 2023. Presentation (PDF),
   
• "BGG sequences in applied mathematics", Conference Differential Geometry and its Applications, University of Hradec Kralove, July 2022. Presentation (PDF), Video of the talk (via youtube).
   
• "Holonomy reductions of Cartan geometries and applications", Workshop Geometric Structures, Compactifications and Group Actions, IRMA, Strasbourg, June 2022. Presentation (PDF)
   
• "Tractors and mass of asymptotically hyperbolic manifolds", Conference Conformal Geometry, Analysis, and Physics in honor of Robin Graham, University of Washington, Seattle, June 2022. Presentation (PDF)
   
• "Tractors and mass of asymptotically hyperbolic manifolds", 42nd Winter School Geometry and Physics, Srni, Czech republic, January 2022.
   
• "Tractors and AH-mass"; QMAP-Seminar, UC Davis (online), January 2022.
   
• "Cartan Geometries"; series of two lectures, Thematic program Geometry for Higher Spin Gravity: Conformal Structures, PDEs, and Q-manifolds, ESI, Vienna, August-September 2021.
  Presentations (PDF): lecture 1, lecture 2. Videos (via the Youtube channel of the ESI): lecture 1, lecture2
   
• "Parabolic Geometries and Geometric Compactifications", series of 3 plenary lectures, 40th Winter School Geometry and Physics, Srni, Czech Republic, January 2020
  Presentations (PDF): lecture 1, lecture 2, lecture 3
   
• "The bundle of Weyl structures", Abel Symposium 2019, Alesund, Norway, June 2019
  Presentation (PDF)
   
• "Holonomy reductions of Cartan geometries and geometric compactifications", Workshop on Cartan Geometry, Korea Institute for Advanced Study (KIAS), Seoul, Korea, May 2019
  Presentation (PDF)
   
• "The bundle of Weyl structures associated to an AHS-structure", 39th Winter School Geometry and Physics, Srni, Czech Republic, January 2019
  Presentation (PDF)
   
• "Parabolic contact structures with a view towards symplectic geometry", Conference Conformal and symplectic geometry, University of Auckland, February 2018
  Presentation (PDF)
   
• "Canonical Cartan connections associated to filtered G₀-structures", 38th Winter School Geometry and Physics, Srni, Czech Republic, January 2018
  Presentation (PDF)
   
• "On (systems of) ODEs of C-class", International Conference on Symmetry and Geometric Structures, Banach Center, Warsaw, November 2017
  Presentation (PDF)
   
• "PCS-structures and differential complexes", 37th Winter School Geometry and Physics, Srni, Czech Republic, January 2017
  Presentation (PDF)
   
• "From holonomy reductions of Cartan geometries to geometric compactifications", Workshop on Conformal geometry and Spectral Theory, Humboldt University, Berlin, November 2016
  Presentation (PDF)
   
• "C-projective compactness", conference Differential Geometry and its Applications, Brno, Czech Republic, July 2016
  Presentation (PDF), recording of the talk
   
• "The (relative) BGG machinery", series of 3 plenary lectures, 36th Winter School Geometry and Physics, Srni, Czech Republic, January 2016
  Presentations (PDF): lecture 1, lecture 2, lecture 3
   
• "Projective compactifications", Princeton-Tokyo workshop on Geometric Analysis, University of Tokyo, Japan, March 2015
  Presentation (PDF)
   
• "A relative version of Kostant's theorem", 35th Winter School Geometry and Physics, Srni, Czech Republic, January 2015
  Presentation (PDF)
   
• "Projective compactness", Workshop "Equivalence, invariants, and symmetries of vector distributions and related structures : from Cartan to Tanaka and beyond ", Institut Henri Poincaré, Paris, France, December 2014
  Presentation (PDF)
   
• "C-projective compactness", Workshop "C-projective geometry and related structures", Kioloa, Australia, March 2014
   
• "A remarkable class of locally conformally symplectic geometries", 34th Winter School Geometry and Physics, Srni, Czech Republic, January 2014
  Presentation (PDF)
   
• Last two parts of the minicourse "Invariant differential Operators and exterior differential systems", Conference "New Directions in Exterior Differential Systems" (A conference in honor of Robert Bryant's 60th birthday), jointly with J.M. Landsberg (Texas A&M University) and M.G. Eastwood (ANU).
  Presentations (PDF): Lecture 3: The infinitesimal automorphsim equation for parabolic geometries, Lecture 4: General BGG sequences.
   
• "Special infinitesimal automorphisms of parabolic geometries" (plenary lecture), 33rd Winter School Geometry and Physics, Srni, Czech Republic, January 2013
  Presentation (PDF)
   
• "Relative BGG sequences", Workshop "The Interaction of Geometry and Representation Theory. Exploring new frontiers" Erwin Schrödinger Institute (ESI) Vienna, September 2012
   
• "Projective compactness", Workshop Conformal and CR geometry, Banff International Research Station (BIRS), Canada, July/August 2012
  Presentation (PDF), Video of the talk.
   
• "Comparison techniques for infintesimal automorphisms of parabolic geometries", 32nd Winter School on Geometry and Physics, Srni, Czech Republic, January 2012
  Presentation (PDF)
   
• "Normal Weyl structures and solutions of first BGG operators", Workshop "The Geometry of Differential Equations", ANU, Canberra, Australia, September 2011.
  Presentation (PDF)
   
• "Holonomy reductions of Cartan connections and invariant differential equations", keynote lecture at the Workshop Moving frames in geometry, CRM Montreal, Kanada, June 2011
    Presentation (PDF)
   
• "Parabolic Geometries determined by Distributions", Workshop Vector Distributions and sub-Riemannian Systems, Banach Center, Warsaw, March 2011
   
• "Normal Weyl structures and special solutions of first BGG operators", 31st Winter School on Geometry and Physics, Srni, Czech Republic, January 2011
    Presentation (PDF)
   
• "Projective BGG equations, polynomial systems, and compactifications of Einstein manifolds", plenary lecture at the Conference Differential Geometry and its Applications, Brno, Czech Republic, August 2010
  Presentation (PDF)
   
• "Cartan connections and the deformation complex for CR structures", Conference CR-Geometry and PDE's - IV, Levico Terme, Italy, June 2010
  Presentation (PDF)
   
• "Infinitesimal automorphisms of parabolic geometries ans dynamics", 30th Winter School on Geometry and Physics, Srni, Czech Republic, January 2010
   
• "The ambient metric (mathematical aspects)", Conference "AdS/CFT: strongly coupled systems and exact results", Ecole Normale Supérieur & Insititut Henri Poincaré, Paris, November 2009
  Presentation (PDF)
   
• "Invariant quantizations", Annual meeting of the Eduard Czech Center, Trest, Czech Republic, October 2009
  Presentation (PDF)
   
• "Invariant quantizations for AHS-structures", 17. ÖMG-Kongress - Jahrestagung der DMV, Graz, Austria, September 2009
   
• "Generalizations of the Bott-Borel-Weil theorem and quivers", Special meeting of the Central European Seminar on Differential Geometry in Honor of the 60th Birthday of Peter Michor, Mikulov, Czech Republic, May 2009
   
• "Affine holonomies and parabolic geometries", 29th Winter School on Geometry and Physics, Srni, Czech Republic, January 2009
  Presentation (PDF)
   
• "Correspondence spaces, twistor spaces and analogs of the Fefferman construction", series of 3 lectures, Workshop "Geometry of ODEs and vector distributions", Banach Center, Warsaw, January 2009
   
• "Curved Casimir operators", Geometry Seminar, Texas A&M University, October 2008
   
• "Weyl structures for parabolic geometries and affine holonomies", Workshop "Parabolic Geometry and PDE", Auckland, New Zealand, August 2008.
   
• "Curved Casimir operators in conformal geometry", Conference Conformal Geometry : invariant theory and the variational method, Roscoff, France, June 2008
  Presentation (PDF)
   
• "BGG sequences and geometric overdetermined systems", The Abel Symposium 2008, Tromsø, Norway, June 2008
  Presentation (PDF)
   
• "Lie algebra homology and overdetermined systems", 28th Winter School on Geometry and Physics, Srni, Czech Republic, January 2008
  Presentation (PDF)
   
• "Infinitesimal automorphisms of parabolic geometries", University of Washington, Seattle, USA, September 2007
   
• "A holonomy characterization of Fefferman spaces", Midwest Geometry Conference, Iowa City, USA, May 2007
   
• "Quaternionic Complexes", Minisymposium "Differential Geometry", Gemeinsame Jahrestagung der DMV und der GDM, Berlin, Germany, March 2007
  Presentation (PDF)
   
• "Characterization of Fefferman spaces" 27th Winter School on Geometry and Physics, Srni, Czech Republic, January 2007
   
• "On the geometry of chains", Conference CR-Geometry and PDE's, Levico Terme (Italy), September 2006
  Presentation (PDF)
   
• "Overdetermined systems, conformal differential geometry, and the BGG complex", Summer Program Symmetries and Overdetermined Systems of Partial Differential Equations", IMA (Minneapolis), July 2006
  Video of the first talk (ram)
  Presentation (PDF)
  lecture notes (PDF)
   
• "Infinitesimal deformations of parabolic geometries", 26th Winter school on Geometry and Physics, Srni, Czech republic, Jannuary 2006
  OHP-slides: [ Postscript , PDF ]
   
• "On CR-invariant Differential Operators", University of Tokyo, Japan, November 2005
   
• "Infinitesimal Automorphisms and Deformations of Parabolic Geometries", University of Auckland, New Zealand, September 2005
   
• "On the Fefferman construction", Conference in Honor of the 80th Birthday of Masatake Kuranishi, Columbia University, New York, May 2005
  OHP-slides (PDF)
   
• "Some constructions with parabolic geometries", series of plenary lectures, 25th Winter school on Geometry and Physics, Srni, Czech republic, Jannuary 2005
  OHP-slides (PDF)
   
• "Parabolic Geometries", Workshop "Conformal Geometry",
  Banff International Research Station, Canada, August 2004
   
• "Automorphism groups of parabolic geometries",
  24th Winter school on Geometry and Physics, Srni, Czech republic, Jannuary 2004
  OHP-slides (PDF)
   
• "Tractor bundles in CR geometry",
  Hayama symposium on several complex variables, Tokyo, Japan, December 2002
  proceedings article based on the lecture: [ Postscript , PDF ]
   
• "Parabolic geometries, CR tractors and the Fefferman construction",
  plenary lecture at the 8th International conference "Differential Geometry and its Applications" Opava, Czech republic, August 2001.