Selected Papers published by Nigel Hitchin, Ngô Bảo Châu and their collaborators at ICMAT

2020

  • Chen, T.H.; Châo, Ngô Bảo. “On the Hitchin morphism for higher-dimensional varieties”, Duke Mathematical Journal 169 (2020) 1971–2004.
  • Garcia-Fernandez, M.; Rubio R.; Tipler, C. “Holomorphic string algebroids”, Amer. Math. Soc. 373 (2020) 7347–7382.
  • García-Prada, O. “Higgs bundles and higher Teichmüller spaces, in: A. Papadopoulos (Ed.)”, Handbook on Teichmüller Theory, vol. VII, European Mathematical Society, 2020.

2019

  • Aparicio-Arroyo, M.; Bradlow, S.B.; Collier, B.; García-Prada, O.; Gothen, P.B.; Oliveira, A. “SO(p, q)-Higgs bundles and higher Teichmüller components”, Math. 218 (2019) 197–299.
  • Biswas, I.; García-Prada, O.; Hurtubise, J. “Branes and Langlands duality”, Math. Phys., 365 (2019) 1005–1018.
  • Burgos Gil, J.I.; Holmes, D.; Jong, R. de. “Positivity of the height jump divisor”, International Mathematics Research Notices 7 (2019) 2044–2068.
  • García-Prada, O.; Ramanan, S. “Involution and Higher order automorphism of Higgs bundles moduli spaces”, London Math. Soc. 119 (2019), 681–732.
  • Hitchin, N. J. “Critical loci for Higgs bundles”, Math. Phys. 366 (2019) 841–864.

2018

  • Andersen, J.E.; Dancer, A.; García-Prada, O.; editors, “Geometry and Physics: A Festschrift in honour of Nigel Hitchin”, 2 volumes, Oxford University Press, 2018.
  • Guichard, O.; Wienhard, A. “Positivity and higher Teichmüller theory. In V. Mehrmann and M. Skutella (eds.)”, European Congress of Mathematics (7ECM). European Mathematical Society (EMS), Zürich, 2018, 289–310.

2017

  • Biquard, O.; García-Prada, O.; Rubio, R. “Higgs bundles, the Toledo invariant and the Cayley correspondence”, of Topology 10 (2017) 795–826.

2016

  • Alfaya, D.; Gómez, T. “Torelli theorem for the parabolic Deligne-Hitchin moduli space”, Travaux mathématiques 24 (2016) 151–165.
  • Hitchin, N. J. “Higgs bundles and characteristic classes, Arbeitstagung Bonn 2013: In Memory of Friedrich Hirzebruch, W.Ballmann et al (eds)”, Birkhäuser Progresss in Mathematics, 319, 247–264, 2016.

2013

  • Álvarez-Cónsul, L; García-Fernández, M.; García-Prada, O. “Coupled equations for Kähler metrics and Yang–Mills connections”, Geometry and Topology 17 (2013) 2731– 2812.
  • García-Prada, O.; Gothen, P. B.; Mundet i Riera, I. “Higgs bundles and surface group representations in the real symplectic group”, Journal of Topology 6 (2013) 64–118.
  • García-Prada, O.; Heinloth, J. “The y-genus of the moduli space of PGLn-Higgs bundles on a curve (for degree coprime to n)”, Duke Math. J., 14 (2013) 2731–2749.

2010

  • Châu, Ngô Bảo. “Le lemme fondamental pour les algébres de Lie”, Math. IHES 111 (2010), 1–169.
  • García-Prada, O.; Bourguignon, J-P; Salamon, S., editors. “The Many Facets of Geometry: A tribute to Nigel Hitchin”, Oxford University Press, 2010.

2007

  • Bradlow, S.B.; García-Prada, O.; Gothen, P.B. “Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces”, Geometriae Dedicata 127 (2007) 87–98.

2006

  • Châu, Ngô Bảo. “Fibration de Hitchin et endoscopie”, Math. 164 (2006) 399–453.
  • Châu, Ngô Bảo. “Fibration de Hitchin et structure endoscopique de la formule des traces”, Proceedings of the ICM Madrid 2006, 1213–1225.

1992

  • Hitchin, N. J. “Lie groups and Teichmüller space”, Topology 31 (1992) 449–473.

1987

  • Hitchin, N. J. “The self-duality equations on a Riemann surface”, London Math. Soc. (3) 55 (1987), 59–126.
  • Hitchin, N. J. “Stable bundles and integrable systems”, Duke Math. J. 54 (1987), 91–114.