SUNY at Stony Brook SUNY at Stony Brook SUNY at Stony Brook

Some Recent (and Less Recent) Talks by

Claude LeBrun


Einstein Metrics, Minimizing Sequences, and
the Differential Topology of Four-Manifolds.

International Conference on Differential Geometry,
Münster, Germany,
August 15, 2006.


Optimal Metrics, Curvature Functionals, and
the Differential Topology of Four-Manifolds.

Geometry Conference in Honor of Nigel Hitchin,
Madrid, Spain,
September 5, 2006.


On Conformally Kähler, Einstein Manifolds.
Einstein Manifolds and Beyond:
Variétés d'Einstein aujourd'hui et demain,

Luminy, France.
June 21, 2007.


Einstein Metrics and Global
Conformal Geometry, I & II.

NZIMA Summer School,
Nelson, New Zealand.
January 8 & 10, 2008.


On Four-Dimensional
Einstein Manifolds.

7th Conference on Geometry and Topology,
Harvard University, Cambridge, MA,
May 3, 2008.


On Four-Dimensional Optimal Metrics.
Conformal Geometry:
Invariant Theory and Variational Methods,

Roscoff, France,
June 30, 2008.


The Einstein-Weyl Equations,
Scattering Maps, and Holomorphic Disks.

Geometry of Einstein Metrics,
Nantes, France,
June 29, 2009.



Einstein Manifolds and Extremal Kähler Metrics.
Fifth Yamabe Memorial Symposium:
"Geometry and Low-Dimensional Topology,"

University of Minnesota,
Minneapolis, MN, October 8, 2010.



On Hermitian, Einstein 4-Manifolds.
26th Annual Geometry Festival,
University of Pennsylvania,
Philadelphia, PA,
April 16, 2011.



Hermitian Metrics, Einstein Manifolds, and Conformal Geometry.
7th Pacific Rim Complex Geometry Conference,
Kyoto University, Kyoto, Japan,
August 6, 2012.



Instantons, Quotient Singularities, and the Geometrization of Four-Manifolds.
The Interaction of Geometry and Representation Theory,
Erwin Schrödinger International Institute,
Vienna, Austria,
September 10, 2012.


Five-Part Minicourse:
Curvature Functionals, Kähler Metrics,
& the Geometry of 4-Manifolds, I, II, III, IV & V.

Institut Henri Poincaré, Paris, France,
December 3-7, 2012.



Curvature, Cones, and Characteristic Numbers.
AMS Eastern Section Meeting,
Boston College,
Chestnut Hill, MA,
April 6, 2013.



Edges, Orbifolds, and Seiberg-Witten Theory.
IMPA Conference,
Encounters in Geometry,
Cabo Frio, Brazil,
June 3, 2013.



Four-Manifolds, Einstein Metrics & Differential Topology.
IMPA Seminar, Rio de Janeiro, Brazil,
June 11, 2013.



Edges, Orbifolds, and Seiberg-Witten Theory.
Differential Geometry Section,
Mathematical Congress of the Americas,
Guanajuato, Mexico,
August 9, 2013.



The Einstein-Weyl Equations, Scattering Maps, & Holomorphic Disks.
Clay Mathematics Conference,
Mathematics of CCC: Mathematical Physics with Positive Lambda,
Oxford, England,
September 13, 2013.



Curvature Functionals, Einstein Metrics,
& the Geometry of 4-Manifolds.

Union College Mathematics Conference,
Union College, Schenectady, NY, October 19, 2013.


Einstein Metrics, Curvature Functionals,
& Conformally Kähler Geometry.

AMS/MAA Annual Joint Meeting,
Baltimore, MD, January 15, 2014.


Weyl Curvature, Einstein Metrics,
& 4-Dimensional Geometry.

Geometric Analysis Conference,
Lisbon, Portugal, July 9, 2014.


Einstein Metrics, Harmonic Forms,
& Symplectic Four-Manifolds.

New Trends in Differential Geometry 2014,
Villasimius (Sardinia), Italy, September 20, 2014.


The Einstein-Maxwell Equations
and Conformally Kähler Geometry.

Recent Advances in Kähler Geometry,
Vanderbilt Univ, Nashville, TN, May 18, 2015.


Einstein Metrics, Harmonic Forms,
and Symplectic Four-Manifolds.

Relativity Seminar,
University of Oxford, July 22, 2015.


Mass in Kähler Geometry.
Metric and Analytic Aspects of Moduli Spaces,
Isaac Newton Institute,
Cambridge, England, July 31, 2015.



Mass in Kähler Geometry.
Differential Geometry Seminar,
Harvard University, September 15, 2015.


Four-Manifolds, Einstein Metrics,
and Differential Topology.

Colloquium, Ohio State University,
Columbus, Ohio, October 22, 2015.


Einstein Metrics, Weyl Curvature, and Symplectic Manifolds;
Mass in Kähler Geometry.
Geometric Analysis in Geometry and Topology,
Tokyo, Japan, November 9 & 10, 2015.


Mass in Kähler Geometry.
New Perspectives in Differential Geometry,
Università di Roma "La Sapienza," November 19, 2015.


Mass in Kähler Geometry;
The Einstein-Maxwell Equations and Conformally Kähler Geometry.
Complex Geometry and Lie Groups,
Nara, Japan, March 22 & 23, 2016.


Mass in Kähler Geometry.
31st Annual Geometry Festival &
Princeton Mathematics Colloquium,

Princeton University, April 8, 2016.


Mass in Kähler Geometry.
Differential Geometry in the Large.
Florence, Italy, July 15, 2016.


Mass in Kähler Geometry.
Trends in Modern Geometry.
Tokyo, Japan, July 24, 2016.


Four-Manifolds, Einstein Metrics, & Differential Topology, I, II, & III.
Rademacher Lecture Series.
University of Pennsylvania,
Philadelphia, PA, October 19-21, 2016.


Mass in Kähler Geometry.
New Horizons in Twistor Theory,
University of Oxford, January 5, 2017.


The Einstein-Maxwell Equations &
Conformally Kähler Geometry.

Relativity Seminar,
University of Oxford, July 31, 2017.


Einstein Metrics, Symplectic 4-Manifolds, and Smooth Topology.
Interactions of Symplectic and Algebraic Geometry,
University of Warwick, August 2, 2017.


Mass, Scalar Curvature, Kähler Geometry, and All That.
Analysis, Geometry, and Topology of Positive-Scalar-Curvature Metrics,
Mathematisches Forschungsinstitut Oberwolfach, August 7, 2017.


Bach-Flat Kähler Surfaces.
Third Pacific Rim Mathematical Association Congress,
Oaxaca, Mexico, August 17, 2017.


Einstein Metrics, Weyl Curvature, and Conformally Kähler Geometry.
ÖMG-DMV Joint Congress,
Salzburg, Austria, September 11, 2017.


Mass, Scalar Curvature, Kähler Geometry, and All That.
Mathematics Colloquium, Rutgers-Newark, October 11, 2017.


Anti-Self-Dual 4-Manifolds, Quasi-Fuchsian
Groups, and Almost-Kähler Geometry.

Conformal and Symplectic Geometry,
Auckland, New Zealand, February 7, 2018.


Anti-Self-Dual 4-Manifolds, Quasi-Fuchsian
Groups, and Almost-Kähler Geometry.

Shanks Workshop on Complex Differential Geometry,
Vanderbilt University, March 2, 2018.


Mass in Kähler Geometry.
Workshop on Mass in General Relativity,
Simons Center for Geometry and Physics,
Stony Brook, NY, March 30, 2018.


Anti-Self-Dual 4-Manifolds, Quasi-Fuchsian
Groups, and Almost-Kähler Geometry.

Differential Geometry & Geometric Analysis Seminar,
Princeton University, April 23, 2018.


Three-Part Lecture Series:
Mass, Scalar Curvature, and Kähler Geometry, I, II, & III.
Extremal Metrics and Relative K-Stability,
Institut de Mathématiques de Jussieu, Sorbonne Université,
Paris, France, September 5-7, 2018.


Anti-Self-Dual 4-Manifolds, Quasi-Fuchsian
Groups, and Almost-Kähler Geometry.

Séminaire d'Analyse et Géométrie,
Jussieu, September 25, 2018.


Anti-Self-Dual 4-Manifolds, Quasi-Fuchsian
Groups, and Almost-Kähler Geometry.

Oberseminar Geometrie und Topologie,
Stuttgart, Germany, October 9, 2018.


Anti-Self-Dual 4-Manifolds, Quasi-Fuchsian
Groups, and Almost-Kähler Geometry.

Seminario de Geometría Diferencial,
La Laguna, Tenerife, Spain, October 16, 2018.


Three-Part Lecture Series:
Mass, Scalar Curvature, and Kähler Geometry, I, II, & III.
Instituto de Ciencias Matemáticas (ICMAT),
Cantoblanco, Madrid, Spain,
October 29-November 8, 2018.


Seven-Part Lecture Series:
Autumn School on Zoll Metrics and Holomorphic Disks,
Schloss Rauischholzhausen,
Justus-Liebig-Universität Gießen, Germany
November 15-18, 2018.


Bach-Flat 4-Manifolds, Quasi-Fuchsian Groups, and Almost-Kähler Geometry.
School and Workshop on Special Metrics and Gauge Theory,
Instituto de Ciencias Matemáticas (ICMAT),
Cantoblanco, Madrid, Spain,
December 10, 2018.


Mass, Kähler Manifolds, and Symplectic Geometry.
Workshop on Global Aspects of Projective and Kähler Geometry,
Tsinghua Sanya International Mathematics Forum,
Sanya, Hainan Province, China,
January 4, 2019.


Mass, Kähler Manifolds, and Symplectic Geometry.
CUNY Workshop on Kähler Geometry,
New York City College of Technology,
Brooklyn, NY,
January 20, 2019.


Mass, Kähler Manifolds, and Symplectic Geometry.
Australian-German Workshop on Differential Geometry in the Large,
MATRIX Institute, University of Melbourne,
Creswick,VIC, Australia, February 7, 2019.


Einstein Metrics, Harmonic Forms, & Conformally Kähler Geometry.
Seminario de Geometría, ICMAT, Cantoblanco,
Madrid, Spain, March 7, 2019.


Einstein Metrics, Harmonic Forms, & Conformally Kähler Geometry.
Seminário Geometria em Lisboa,
Instituto Superior Técnico,
Lisbon, Portugal, March 12, 2019.


Mass, Kähler Manifolds, and Symplectic Geometry.
Differential Geometry Seminar,
University of California at Irvine,
Irvine, CA, April 2, 2019.


Mass, Scalar Curvature, Kähler Geometry, and All That.
Mathematics Colloquium,
University of Florida,
Gainesville, FL, April 15, 2019.


Einstein Metrics, Harmonic Forms, & Conformally Kähler Geometry.
Séminaire de Géométrie,
Institut Fourier, Université de Grenoble,
Grenoble, France, April 30, 2019.


Mass, Scalar Curvature, Kähler Geometry, and All That.
Colloquium de Mathématiques,
Institut Fourier, Université de Grenoble,
Grenoble, France, May 2, 2019.


Mass, Kähler Manifolds, and Symplectic Geometry.
Séminaire joint Gaston Darboux/AGATA,
Institut Montpelliérain Alexander Grothendieck,
Université de Montpellier, France, May 9, 2019.


Einstein Metrics, Complex Surfaces, and Symplectic Geometry.
Colloquium de Mathématiques,
Université Paul Sabatier,
Toulouse, France, May 10, 2019.


Mass, Scalar Curvature, Kähler Geometry, and All That.
Colloquium di Matematica e Fisica,
Università degli Studi Roma Tre,
Rome, Italy, May 22, 2019.


Einstein Metrics, Harmonic Forms, & Conformally Kähler Geometry.
Seminario di Geometria,
Università degli Studi Roma Tre,
Rome, Italy, May 23, 2019.


Bach-flat Kähler Surfaces.
Seminario de Geometría,
ICMAT, Cantoblanco,
Madrid, Spain, May 28, 2019.


Mass, Kähler Manifolds, and Symplectic Geometry.
Current Developments in Complex and Analytic Geometry,
Incontro INdAM al Palazzone,
Cortona, Italy, June 5, 2019.


Einstein Metrics, Harmonic Forms, & Conformally Kähler Geometry.
Séminaire de Géométrie,
Université Libre de Bruxelles,
Brussels, Belgium, June 26, 2019.


Mass, Kähler Manifolds, and Symplectic Geometry.
Differentialgeometrie im Großen,
Mathematisches Forschungsinstitut Oberwolfach,
Oberwolfach, Germany, July 2, 2019.


Mass, Kähler Manifolds, and Symplectic Geometry.
Relativity Seminar,
Mathematical Institute, University of Oxford,
Oxford, England, July 19, 2019.


Einstein Manifolds, Self-Dual Weyl Curvature,
and Conformally Kähler Geometry.

Differential Geometry & Geometric Analysis Seminar,
Princeton University, October 9, 2019.


Einstein Metrics, Complex Surfaces,
and Symplectic 4-Manifolds.

Mathematics Department Colloquium,
Stony Brook University, October 17, 2019.


Einstein Manifolds, Weyl Curvature, & Anti-Holomorphic Involutions.
Geometry and Topology of (Almost) Complex Structures,
Geometry & TACoS Web Conference, July 7, 2020.


Anti-Self-Dual 4-Manifolds, Quasi-Fuchsian
Groups, and Almost-Kähler Geometry.

Brussels-Oxford-Warwick-London
BOWL Geometry Seminar, February 16, 2021.


Einstein Manifolds, Conformal Curvature,
and Anti-Holomorphic Involutions.

Irish Geometry Seminar,
NUI Galway & Maynooth,
February 23, 2021.


Mass, Kähler Manifolds, and Symplectic Geometry.
SCGP Weekly Talk in Mathematics,
Stony Brook, March 25, 2021.


Métriques d'Einstein, Courbure de Weyl, et Involutions Antiholomorphes,
Atelier sur la Géométrie Différentielle et l'Analyse Globale,
Centre Interuniversitaire de Recherches en Géométrie et Topologie, Montréal, May 26, 2021.


Kodaira Dimension and the Yamabe Problem, Revisited,
Analysis, Geometry and Topology of Positive Scalar Curvature Metrics,
Mathematisches Forschungsinstitut Oberwolfach, Germany, June 29, 2021.


Twistors, Self-Duality, and Spinc Structures,
RP90: Twistors, from Geometry to Physics,
University of Oxford, July 23, 2021.


Einstein Manifolds, Conformal Curvature, and Anti-Holomorphic Involutions.
Twistor Theory and Beyond,
University of Cambridge, September 27, 2021.


Einstein Manifolds, Kähler Metrics, and Conformal Geometry,
Workshop on Special Geometries on Riemannian Manifolds,
Centre de Recherches Mathématiques, Montréal, October 13, 2021.


Einstein Manifolds, Self-Dual Weyl Curvature,
and Conformally Kähler Geometry,

Interactions in Complex Geometry,
Vanderbilt University, December 12, 2021.


Yamabe Invariants, Weyl Curvature, and the
Differential Topology of 4-Manifolds,

Gromov's Not Only Scalar Curvature seminar,
Paris/Augsburg/New York, May 13, 2022.


Kodaira Dimension and the
Yamabe Problem, Revisited.

Rutgers Geometric Analysis Conference,
New Brunswick, NJ, May 17, 2022.


Curvature in the Balance:
The Weyl Functional and Scalar Curvature of 4-Manifolds,

Special Metrics in Complex Geometry,
University of Texas at Dallas, May 19, 2022.


Four-Manifolds, Conformal
Curvature, and Differential Topology,

2022 Union Mathematical Conference
Union College, Schenectady, NY, June 4, 2022.


Three-Part Lecture Series:
Geometry of 4-Manifolds: Curvature in the Balance,
Centro di Ricerca Matematica Ennio De Giorgi,
Pisa, Italy, June 8-10, 2022.


Kodaira Dimension and the Yamabe Problem, Revisited,
Conference in Honor of Robin Graham:
Conformal Geometry, Analysis, and Physics,
Seattle, Washington, June 16, 2022.


Kodaira Dimension and the Yamabe Problem, Revisited,
Simons Center for Geometry and Physics Workshop:
Recent Advances on Scalar Curvature Problems,

Stony Brook, NY, June 28, 2022.


Four-Manifolds, Conformal
Curvature, and Differential Topology,

Pure Mathematics Colloquium,
Waterloo, ON, Canada, September 12, 2022.


Curvature in the Balance:
The Weyl Functional and Scalar Curvature of 4-Manifolds,

Informal Complex Geometry & PDE Seminar,
Columbia University, October 6, 2022.


Geometry of 4-Manifolds: Curvature in the Balance,
Lehigh Journal of Differential Geometry Conference
in honor of the 70th birthday of David Johnson,
Bethlehem, PA, October 15, 2022.


Curvature in the Balance:
The Weyl Functional and Scalar Curvature of 4-Manifolds,

Pacific Northwest Geometry Seminar,
Seattle University, November 6, 2022.


Twistors, Hyper-Kähler Manifolds, and Complex Moduli,
Special Session on Complex Geometry and Moduli Spaces,
Canadian Mathematical Society Winter Meeting,
Toronto, ON, Canada, December 3, 2022.


Einstein Manifolds, Self-Dual Weyl Curvature,
and Conformally Kähler Geometry,

Seminário Geometria em Lisboa,
Instituto Superior Técnico,
Lisbon, Portugal, March 16, 2023.


Einstein Manifolds, Self-Dual Weyl Curvature, and Conformally Kähler Geometry.
Topology and Dynamics Seminar,
University of Florida,
Gainesville, FL, April 18, 2023.


Einstein Manifolds, Self-Dual Weyl Curvature, and Conformally Kähler Geometry.
Special Colloquium,
Florida International University,
Miami, FL, April 20, 2023.


Einstein Manifolds, Weyl Curvature, and Conformally Kähler Geometry.
Differentialgeometrie im Großen,
Mathematisches Forschungsinstitut Oberwolfach, Germany, July 4, 2023.


Einstein Metrics, Four-Manifolds, and Conformally Kähler Geometry.
Einstein Metrics and Special Geometry,
Institut Mittag-Leffler,
Djursholm, Sweden, July 10, 2023.


Einstein 4-Manifolds, Weyl Curvature, and Orbifold Limits.
Curvature and Global Shape,
Westfälische Wilhelms-Universität Münster,
Muenster, Germany, August 4, 2023.


Gravitational Instantons, Weyl Curvature, and Conformally Kähler Geometry.
Analytic Methods in Complex Geometry,
Westfälische Wilhelms-Universität Münster,
Muenster, Germany, August 7, 2023.



On Four-Dimensional Einstein Manifolds,
Mathematics Colloquium,
Brown University, September 27, 2023.


Gravitational Instantons, Weyl Curvature, and Conformally Kähler Geometry.
Centre Interuniversitaire de Recherches en Géométrie et Topologie,
Université du Québec à Montréal,
Montreal, QC, Canada, October 6, 2023.


Gravitational Instantons, Weyl Curvature, and Conformally Kähler Geometry.
Differential Geometry Seminar,
University of California, Berkeley,
Berkeley, CA, October 21, 2023.


Gravitational Instantons, Weyl Curvature, and Conformally Kähler Geometry.
Differential Geometry and Geometric Analysis Seminar,
Department of Mathematics, Princeton University,
Princeton, NJ, November 15, 2023.


Gravitational Instantons, Weyl Curvature, and Conformally Kähler Geometry.
Special Holonomy and Geometric Structures on Complex Manifolds,
IMPA, Rio de Janeiro, Brazil
March 12, 2024.


Gravitational Instantons, Weyl Curvature, and Conformally Kähler Geometry.
Geometry/Topology Seminar, Department of Mathematics,
Stony Brook University, March 26, 2024.



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Research supported in part by grants
from the National Science Foundation.