- "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.