Prépublications |
---|
Polystability of Stokes representations and differential Galois groups
(avec D. Yamakawa) |
Twisted local wild mapping class groups: configuration spaces, fission trees and complex braids
(avec J. Douçot et G. Rembado) |
Twisted wild character varieties
(avec D. Yamakawa) |
Publications |
---|
Topology of the Stokes phenomenon
Proc. Symp. Pure Math. 103 (2021) 55–100 (pdf) |
Diagrams for nonabelian Hodge spaces on the affine line
(avec D. Yamakawa)
Comptes Rendus Mathématique 358 (2020) no. 1, 59–65 (pdf) |
Wild Character Varieties, points on the Riemann sphere and Calabi's examples
Representation Theory, Special Functions and Painlevé Equations — RIMS 2015 Advanced Studies in Pure Mathematics 76 (2018) 67–94 (pdf) |
Symmetric cubic surfaces and G2 character varieties
(avec R. Paluba)
J. Algebraic Geom. 25 (2016), 607–631 (pdf) |
Global Weyl groups and a new theory of multiplicative quiver varieties Geometry & Topology 19 (2015) 3467–3536 (pdf) |
Geometry and braiding of Stokes data; Fission and wild character varieties Annals of Math. 179 (2014) 301–365 (arXiv, pdf) |
Simply-laced isomonodromy systems Publ. Math. IHES 116 (2012) no. 1, 1–68 (arXiv, pdf) |
Riemann-Hilbert for tame complex parahoric connections
Transformation groups 16 (2011) no. 1, 27–50 |
Through the analytic halo: Fission via irregular singularities
Ann. Inst. Fourier 59, 7 (2009) 2669–2684 |
Quivers and difference Painlevé equations
Groups and Symmetries: From the Neolithic Scots to John McKay, CRM Proceedings and Lecture Notes (Montréal) 47 (2009) 25–51 |
Regge
and Okamoto symmetries
Comm. Math. Phys. 276 (2007) 117–130 |
Higher
genus icosahedral Painlevé curves
Funk. Ekvac. (Kobe) 50 (2007) 19–32 |
Some explicit solutions to the Riemann–Hilbert problem
Differential equations and quantum groups. Bolibrukh memorial volume. IRMA Lectures in Mathematics and Theoretical Physics, vol. 9 (2007) 85–112 |
The fifty-two icosahedral solutions to Painlevé VI
J. Reine Angew. Math. 596 (2006) 183–214 |
From Klein to Painlevé via Fourier, Laplace and Jimbo
Proc. London Math. Soc. (3) 90 (2005) 167–208 |
Painlevé equations and complex reflections
Ann. Inst. Fourier 53 (2003) no. 4, 1009–1022. |
Wild
non-abelian Hodge theory on curves
(avec O. Biquard)
Compos. Math. 140 (2004) no. 1, 179–204 |
Quasi-Hamiltonian
geometry of meromorphic
connections
Duke Math. J. 139 (2007) no. 2, 369–405 (voir aussi arXiv 2002) |
G-bundles, Isomonodromy and Quantum Weyl Groups
Int. Math. Res. Not. 22 (2002) 1129–1166 |
Stokes Matrices, Poisson Lie Groups and Frobenius Manifolds
Invent. Math. 146 (2001) 479–506 |
Symplectic Manifolds and Isomonodromic Deformations
Adv. in Math. 163 (2001) 137–205 |
Surveys |
---|
Wild character varieties, meromorphic Hitchin systems and Dynkin diagrams
Geometry and Physics: A Festschrift in honour of Nigel Hitchin Oxford University Press (2018) 433–454 |
Beyond the stars
Oberwolfach report no. 12/2017 pp.615–620 Handwritten abstract (in their book) |
Wild Character Varieties
(one page summary) Oberwolfach report no. 22/2015 pp.9–10 |
Poisson varieties from Riemann surfaces
Indag. Math. 25 (2014) no. 5, 872–900 (pdf) |
Geometry of moduli spaces of meromorphic connections on
curves, Stokes data, wild nonabelian Hodge theory,
hyperkähler manifolds, isomonodromic deformations,
Painlevé equations, and relations to Lie theory
HDR thesis, Université Paris-Sud 12/12/12, 40 pages, 8 figures (arXiv, slides, poster) |
Hyperkahler manifolds and nonabelian Hodge theory on (irregular) curves
Texte d'un expose à l'IHP Jan 17, 2012, (HAL 21/2/12, arXiv:1203.6607) |
Towards a nonlinear Schwarz's list
The many facets of geometry: a tribute to Nigel Hitchin Oxford Univertiy Press (2010) 210–236 |
Brief introduction to Painlevé VI
SMF, Séminaires et congrès, vol 13 (2006) 69–78 |
Six results on Painlevé VI
SMF, Séminaires et congrès, vol 14 (2006) 1–20 |
Annonces |
---|
Irregular connections and Kac-Moody root systems
June 2008 (arXiv:0806.1050) 31 pages, 7 figures (jamais soumis, voir "Simply-laced isomonodromy systems") |
Thèses |
---|
Habilitation
Université Paris-Sud 12/12/12, 40 pages, 8 figures (arXiv, slides, poster) |
Symplectic geometry and isomonodromic deformations
Oxford D.Phil., 1999, 178 pages, 3 figures (TEL) |