{"id":16,"date":"2021-08-27T15:46:31","date_gmt":"2021-08-27T13:46:31","guid":{"rendered":"https:\/\/perso.imj-prg.fr\/olivier-debarre\/?page_id=16"},"modified":"2025-10-11T23:58:13","modified_gmt":"2025-10-11T21:58:13","slug":"exposes-talks","status":"publish","type":"page","link":"https:\/\/perso.imj-prg.fr\/olivier-debarre\/exposes-talks\/","title":{"rendered":"Expos\u00e9s\/talks"},"content":{"rendered":"\n<h1 class=\"wp-block-heading\"><\/h1>\n\n\n\n<p>[1] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/Cachan.pdf\">Vari\u00e9t\u00e9s alg\u00e9briques complexes<\/a>, expos\u00e9, \u00c9cole normale sup\u00e9rieure de Cachan, 1998.<\/p>\n\n\n\n<p>[2] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/Colloquium.pdf\">Polytopes et vari\u00e9t\u00e9s alg\u00e9briques<\/a>, colloquium Paris 7, 2002.<\/p>\n\n\n\n<p>[3] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/Fano%28turin%29.pdf\">Fano varieties and polytopes<\/a>, The Fano Conference, Torino, 2002.<\/p>\n\n\n\n<p>[4] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/coursENS.pdf\">Vari\u00e9t\u00e9s toriques et polytopes<\/a>, cours, \u00c9cole normale sup\u00e9rieure, Paris, 2002.<\/p>\n\n\n\n<p>[5] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/Hyperbolicity.pdf\">Hyperbolicity<\/a>, colloquium, University of Michigan et Princeton University, 2004.<\/p>\n\n\n\n<p>[6] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/DebarreCourse2.pdf\">Hyperbolicity of complex varieties<\/a>, \u00e9cole d&rsquo;\u00e9t\u00e9 Pragmatic, Catania, 2004.<\/p>\n\n\n\n<p>[7] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/Aussois.pdf\">Polytopes et points entiers<\/a>, cours de rentr\u00e9e de majeure, \u00c9cole polytechnique, Aussois, 2004 ; Hy\u00e8res, 2005.<\/p>\n\n\n\n<p>[8] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/RevVarAb.pdf\">Sur les rev\u00eatements des vari\u00e9t\u00e9s ab\u00e9liennes simples<\/a>, Strasbourg, 2004 ; Roma 3, 2004 ; Lille, 2005.<\/p>\n\n\n\n<p>[9] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/DivVarAb.pdf\">Singularities of divisors on abelian varieties<\/a>, JAMI Conference\/Workshop: Recent Developments in Higher Dimensional Algebraic Geometry, Johns Hopkins University, 2006 ; Oberwolfach, 2006. <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/sites\/34\/2025\/05\/DivVarAb2024.pdf\">Update<\/a>, 2025.<\/p>\n\n\n\n<p>[10] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/Top.pdf\">Sur la topologie des vari\u00e9t\u00e9s alg\u00e9briques complexes<\/a>, colloquium, Grenoble, 2006.<\/p>\n\n\n\n<p>[11] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/Taiwan.pdf\">On the geometry of abelian varieties<\/a>, National Taiwan University, \u81fa\u5317\u5e02 Taipei, 2007 ; KAIST, \ub300\uc804 Daejeon et KIAS, \uc11c\uc6b8 Seoul, 2008.<\/p>\n\n\n\n<p>[12] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/X10-Rome.pdf\">The Fano threefold X<sub>10<\/sub><\/a>, National Taiwan University, \u81fa\u5317\u5e02 Taipei, 2007 ; Roma Tre, 2007 ; Universiteit van Amsterdam, 2008 ; IMJ, Paris, 2008 ; Fudan University, \u4e0a\u6d77 Shanghai, 2008.<\/p>\n\n\n\n<p>[13] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/X10-IndamBeamer.pdf\">On the geometry of certain Fano threefolds<\/a>, Giornata INdAM, Pisa, 2007.<\/p>\n\n\n\n<p>[14] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/Grenoble.pdf\">Bend-and-break<\/a>, Summer School: Geometry of complex projective varieties and the minimal model program, Grenoble, 2007.<\/p>\n\n\n\n<p>[15] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/Diagonale.pdf\">La propri\u00e9t\u00e9 de la diagonale<\/a>, Grenoble, 2007.<\/p>\n\n\n\n<p>[16] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/MSRI.pdf\">Periods and moduli<\/a>, MSRI, Berkeley, 2009.<\/p>\n\n\n\n<p>[17] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/Hyperkaehler.pdf\">A new family of symplectic fourfolds<\/a>, Oberwolfach, 2009 ; Strasbourg, 2009 ; Grenoble, 2009.<\/p>\n\n\n\n<p>[18] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/Pnav.pdf\">C\u00f4nes de cycles en codimension sup\u00e9rieure (Cones of higher-codimensional cycles)<\/a>, IMJ, Paris, 2010 ; Oberwolfach, 2010.<\/p>\n\n\n\n<p>[19] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/NotesGAEL.pdf\">Rational curves on algebraic varieties<\/a>, GAeL XVIII conference, Coimbra, 2010 ; conf\u00e9rence G\u00e9om\u00e9trie Alg\u00e9brique, Semaine sp\u00e9ciale Master 2, Strasbourg, 2011.<\/p>\n\n\n\n<p>[20] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/Trento.pdf\">On nodal prime Fano threefolds of degree 10<\/a>, Perspectives on Algebraic Varieties, Trento, 2010.<\/p>\n\n\n\n<p>[21] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/Pekin.pdf\">Varieties with vanishing Euler characteristic<\/a>, Workshop in Complex and Algebraic Varieties, \u5317\u4eac Beijing, 2011 ; The French-Romanian Workshop on Complex Geometry, Bucure\u0219ti, 2011.<\/p>\n\n\n\n<p>[22] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/Simons.pdf\">Curves of low degrees on projective varieties<\/a>, Geometry Over Non-Closed Fields, Saint John, 2012.<\/p>\n\n\n\n<p>[23] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/CoursRome.pdf\">Curves of low degrees on Fano varieties<\/a>, cours, Roma 2, 2012.<\/p>\n\n\n\n<p>[24] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/ExposeRome.pdf\">On Fano varieties of degree 10 and coindex 3<\/a>, s\u00e9minaire, Roma 3, 2012.<\/p>\n\n\n\n<p>[25] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/ExposeNantes.pdf\">On the period maps of some Fano varieties<\/a>, Geometry of Kaehler manifolds and symplectic geometry, Nantes, 2012 ; First Annual Georgia Algebraic Geometry Symposium, UGA, Athens, 2012.<\/p>\n\n\n\n<p>[26] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/ExposeGrenoble.pdf\">On the period maps of some Fano varieties<\/a>, Holomorphic symplectic manifolds and moduli spaces, Grenoble, 2012.<\/p>\n\n\n\n<p>[27] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/ExposeLille.pdf\">Periods of algebraic varieties<\/a>, CEMPI Inaugural Conference, Lille, 2012.<\/p>\n\n\n\n<p>[28] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/Yeosu.pdf\">On some Fano fourfolds<\/a>, KIAS, \uc11c\uc6b8 Seoul ; Symposium on Projective Algebraic Varieties &amp; Moduli, \uc5ec \uc218 Yeosu, 2013.<\/p>\n\n\n\n<p>[29] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/ExposeMontreal2013.pdf\">Moduli spaces for some Fano manifolds<\/a>, Programme th\u00e9matique : Points rationnels, courbes rationnelles et courbes enti\u00e8res sur les vari\u00e9t\u00e9s alg\u00e9briques, CRM, Montr\u00e9al, 2013.<\/p>\n\n\n\n<p>[30] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/ExposeCetraro2013.pdf\">Quadratic line complexes<\/a>, Classification of Algebraic Varieties and Related Topics, Cetraro, 2013.<\/p>\n\n\n\n<p>[31] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/ExposePoitiers2013.pdf\">How to classify Fano varieties?<\/a> School: Rational Curves on Algebraic Varieties, Poitiers, 2013.<\/p>\n\n\n\n<p>[32] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/TalksSapporo.pdf\">On the geometry of cubic hypersurfaces in <strong>P<\/strong><sup>5<\/sup> ; On the geometry of quadratic line complexes in <strong>P<\/strong><sup>4<\/sup><\/a>, Arithmetic and Algebraic Geometry, \u6771\u4eac Tokyo, 2014 ; \u672d\u5e4c Sapporo, 2014.<\/p>\n\n\n\n<p>[33] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/ExposeStrasbourg2014.pdf\">P\u00e9riodes et espaces de modules des vari\u00e9t\u00e9s alg\u00e9briques<\/a>, Strasbourg, 2014.<\/p>\n\n\n\n<p>[34] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/ExposeZurich2014.pdf\">Moduli spaces for certain Fano varieties<\/a>, Moduli spaces of irreducible symplectic varieties, cubics and Enriques surfaces, Lille, 2014 ; Universit\u00e4t Z\u00fcrich, 2014.<\/p>\n\n\n\n<p>[35] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/CIMPA2014.pdf\">On the geometry of hypersurfaces of low degrees in the projective space<\/a>, CIMPA School: Algebraic Geometry and Number Theory, Universit\u00e9 de Galatasaray, Istanbul, 2014.<\/p>\n\n\n\n<p>[36] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/Duesseldorf2014.pdf\">Around cubic hypersurfaces<\/a>, colloquium, Universit\u00e4t D\u00fcsseldorf, 2014.<\/p>\n\n\n\n<p>[37] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/GMvarieties2015.pdf\">Fano varieties and EPW sextics<\/a>, New Techniques in Birational Geometry, Stony Brook, 2015 ; Sapienza Universit\u00e1 di Roma, 2015 ; Rationally connected varieties, Laboratory of Algebraic Geometry, \u041c\u043e\u0441\u043a\u0432\u0430, 2015.<\/p>\n\n\n\n<p>[38] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/Busan2016.pdf\">Rational curves on hypersurfaces<\/a>, CIMPA School: II Latin American School of Algebraic Geometry and Applications, Cabo Frio, 2015; KIAS Winter School: Rational Curves on Algebraic Varieties, \ubd80\uc0b0 Busan, 2016.<\/p>\n\n\n\n<p>[39] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/Zak65.pdf\">Cubic hypersurfaces over finite fields<\/a>, Workshop on projective algebraic geometry, Laboratory of Algebraic Geometry, \u041c\u043e\u0441\u043a\u0432\u0430, 2015.<\/p>\n\n\n\n<p>[40] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/Toritalk.pdf\">Fake projective spaces and fake tori<\/a> (<a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/FakeToriHandout.pdf\">slides<\/a>), London G&amp;T seminar, Imperial College, London, 2015&nbsp;; G\u00e9om\u00e9trie Alg\u00e9brique et G\u00e9om\u00e9trie Complexe, CIRM, Luminy, 2015 ; Second French-Korean Conference in Mathematics, Bordeaux, 2016 ; IBS Symposium: Algebra, Geometry and Quantum Field Theory, \ud3ec\ud56d\uc2dc Pohang, 2016 ; Colloquium, Yale University, 2017 ; Duke University, Durham, 2017.<\/p>\n\n\n\n<p>[41] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/Mexico2016.pdf\">Higher-Dimensional Varieties<\/a>, CIMPA-CIMAT-ICTP School on Moduli of Curves, Guanajuato, 2016.<\/p>\n\n\n\n<p>[42] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/CarryRouet.pdf\">On periods of Gushel-Mukai varieties<\/a>, Mediterranean Complex Projective Geometry, Carry-le-Rouet, 2016 ; Positivity and Vanishing Theorems, Lille, 2016 ; New Methods in Birational Geometry, Toulouse, 2016.<\/p>\n\n\n\n<p>[43] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/Unexpected.pdf\">Unexpected isomorphisms between hyperk\u00e4hler fourfolds<\/a>, G\u00e9om\u00e9trie alg\u00e9brique, Coll\u00e8ge de France, 2016 ; Topics on rationality and hyperk\u00e4hler geometry, Milano, 2016 ; Yale University, New Haven, 2017 ; University of North Carolina, Chapel Hill, 2017.<\/p>\n\n\n\n<p>[44] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/AV.pdf\">Two or three things I know about abelian varieties<\/a>, minischool on abelian and symplectic varieties, University of North Carolina, Chapel Hill, 2017.<\/p>\n\n\n\n<p>[45] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/HKsurvey.pdf\">Hyperk\u00e4hler manifolds<\/a>, Summer school, Texel Island, The Netherlands, et CIMPA Research School on Group actions on algebraic varieties, Pontificia Universidad Cat\u00f3lica del Per\u00fa, Lima, 2017, <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/http:\/\/arxiv.org\/abs\/1810.02087\">arXiv:1810.02087<\/a>.<\/p>\n\n\n\n<p>[46] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/sites\/34\/2022\/01\/K3charmey.pdf\">Sur les surfaces K3 et les vari\u00e9t\u00e9s hyperk\u00e4hl\u00e9riennes<\/a>, 7th Swiss-French workshop in Algebraic Geometry, Charmey, 2018.<\/p>\n\n\n\n<p>[47] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/Nancy2018.pdf\">Rationalit\u00e9 des vari\u00e9t\u00e9s alg\u00e9briques<\/a>, colloquium : Nancy, 2018 ; Peking University et Academy of Sciences, \u5317\u4eac Beijing, 2018 ; Poitiers, 2018.<\/p>\n\n\n\n<p>[48] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/DVvarieties.pdf\">Periods of cubic fourfolds and of Debarre-Voisin varieties<\/a>, Arithmetic and Geometry of Cubic Hypersurfaces, Hannover, 2018 ; Differential, Algebraic and Topological Methods in Complex Algebraic Geometry, Cetraro, 2018.<\/p>\n\n\n\n<p>[49] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/HK_Shanghai.pdf\">Moduli and periods of hyperk\u00e4hler manifolds<\/a>, Fall Program of Moduli Spaces and Varieties, Shanghai Center Mathematical Sciences, \u4e0a\u6d77 Shanghai, 2018.<\/p>\n\n\n\n<p>[50] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/DVvarietiesMukai.pdf\">Degenerations of Debarre-Voisin varieties<\/a>, Algebraic Geometry and Moduli Theory, Conference in honor of Shigeru Mukai, \u4eac\u90fd\u5e02 Kyoto, 2019.<\/p>\n\n\n\n<p>[51]&nbsp;<a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/GMOD60\">Gushel-Mukai varieties and their periods<\/a>, The geometry of algebraic varieties, CIRM, Luminy, 2019&nbsp;; Peking University et Academy of Sciences, \u5317\u4eac Beijing, 2019.<\/p>\n\n\n\n<p>[52]&nbsp;<a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/GMvarieties2019.pdf\">Gushel-Mukai <\/a><a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/sites\/34\/2022\/01\/GMvarieties2019.pdf\">varieties<\/a>, Shanghai Center Mathematical Sciences, \u4e0a\u6d77 Shanghai, 2019.<\/p>\n\n\n\n<p>[53] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/debarre-pub\/psl.pdf\">Some varieties with PSL(2,<strong>F<\/strong><sub>11<\/sub>)-actions<\/a>, Impanga online seminar, Warsaw, 2020.<\/p>\n\n\n\n<p>[54] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/sites\/34\/2022\/01\/Rationality_Milano.pdf\">Rationality and irrationality: when can solutions of polynomial equations be algebraically parametrized?<\/a> Online Seminario Matematico e Fisico di Milano, 2021.<\/p>\n\n\n\n<p>[55] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/sites\/34\/2022\/01\/NLcycles.pdf\">Noether-Lefschetz cycles<\/a><a href=\"http:\/\/webusers.imj-prg.fr\/uploads\/olivier.debarre\/NLcycles.pdf\">,<\/a> online HyperK seminar, 2020.<\/p>\n\n\n\n<p>[56] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/sites\/34\/2022\/01\/Betti.pdf\">On the Hodge and Betti numbers of hyperk\u00e4hler manifolds<\/a> (avec P. Beri), online HyperK seminar, 2021.<\/p>\n\n\n\n<p>[57] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/sites\/34\/2022\/06\/GM-manifods-Beri-Debarre-Mattei-Pirozhkov.pdf\">Gushel-Mukai manifolds<\/a> (avec P. Beri, D. Mattei, D. Pirozhkov), online HyperK seminar, 2021.<\/p>\n\n\n\n<p>[58] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/sites\/34\/2022\/06\/Verra70-sans-AM.pdf\">Intermediate Jacobians of Verra and Gushel-Mukai threefolds<\/a>, Algebraic Geometry in Roma Tre, Roma, 2022.<\/p>\n\n\n\n<p>[59] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/sites\/34\/2022\/09\/CompleteCurvesTalk.pdf\">Complete curves in the moduli space of polarized K3 surfaces and hyper-K\u00e4hler manifolds<\/a>, Algebraic Geometry in Hannover, Hannover, 2022 ; Complex Algebraic Geometry and related topics, Gargnano, 2022.<\/p>\n\n\n\n<p>[60] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/sites\/34\/2022\/09\/HKRome2022.pdf\">Numerical invariants for hyper-K\u00e4hler manifolds<\/a>, Hyperk\u00e4hler Varieties and Related Topics, Roma, 2022.<\/p>\n\n\n\n<p>[61] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/sites\/34\/2023\/02\/On-rationality-problems-copie.pdf\">On rationality problems<\/a>, RTG\/SCGP Graduate Workshop on the Birational Complexity of Algebraic Varieties, Stony Brook, 2022.<\/p>\n\n\n\n<p>[62] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/sites\/34\/2023\/02\/Parametrizing-subvarieties.pdf\">Parametrizing subvarieties of an algebraic variety<\/a>, Bologna, 2023.<\/p>\n\n\n\n<p>[63] Smooth subvarieties of Jacobians of curves, Japanese-European Symposium on Symplectic Varieties and Moduli Spaces, Milano, 2023.<\/p>\n\n\n\n<p>[64] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/sites\/34\/2023\/09\/Complete-families-of-smooth-projective-manifolds.pdf\">Complete families of smooth projective manifolds<\/a>, Giornate di Geometria Algebrica e Argomenti Correlati XVI, Cetraro, 2023.<\/p>\n\n\n\n<p>[65] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/sites\/34\/2024\/02\/Subvarieties-of-abelian-varieties.pdf\">Subvarieties of abelian varieties<\/a>, Fano and Hyperk\u00e4hler varieties in Genova, Genova ; Conference in honor of Philippe Ellia, Ferrara, 2024.<\/p>\n\n\n\n<p>[66] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/sites\/34\/2024\/06\/Nonsmoothable-cycles-on-algebraic-varieties.pdf\">Nonsmoothable cycles on algebraic varieties<\/a>, Crafoord Symposium in Mathematics on Algebraic geometry and K\u00e4hler geometry, KTH Royal Institute of Technology, Stockholm, 2024 ; Conf\u00e9rence EPIGA, Paris, 2024.<\/p>\n\n\n\n<p>[67] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/sites\/34\/2024\/09\/gm-quadrics-talk.pdf\">Quadrics on Gushel-Mukai varieties<\/a>, New perspectives on hyperk\u00e4hler manifolds and moduli of vector bundles, Cetraro, 2024.<\/p>\n\n\n\n<p>[68] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/sites\/34\/2024\/11\/Kazhdan-talk.pdf\">On a conjecture of Kazhdan and Polishchuk<\/a>, Hyperk\u00e4hler varieties and related topics, II, Roma, 2024 ; Sino-French Conference on Algebraic Geometry, \u5317\u4eac Beijing, 2024 ; Algebraic geometry in Taipei, \u81fa\u5317\u5e02 Taipei, 2024.<\/p>\n\n\n\n<p>[69] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/sites\/34\/2025\/05\/AV-of-Weil-type.pdf\">Abelian varieties of Weil type<\/a>, The Hodge Conjecture for Abelian Fourfolds, after Markman, Orsay, 2025.<\/p>\n\n\n\n<p>[70] <a href=\"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-content\/uploads\/sites\/34\/2025\/10\/Bezout.pdf\">On the sum map for subvarieties of abelian varieties<\/a>, Harmonies in Moduli Spaces, Roma, 2025.<\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>[1] Vari\u00e9t\u00e9s alg\u00e9briques complexes, expos\u00e9, \u00c9cole normale sup\u00e9rieure de Cachan, 1998. [2] Polytopes et vari\u00e9t\u00e9s alg\u00e9briques, colloquium Paris 7, 2002. [3] Fano varieties and polytopes, The Fano Conference, Torino, 2002. [4] Vari\u00e9t\u00e9s toriques et polytopes, cours, \u00c9cole normale sup\u00e9rieure, Paris, 2002. [5] Hyperbolicity, colloquium, University of Michigan et Princeton University, 2004. [6] Hyperbolicity of complex [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-16","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-json\/wp\/v2\/pages\/16","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-json\/wp\/v2\/comments?post=16"}],"version-history":[{"count":51,"href":"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-json\/wp\/v2\/pages\/16\/revisions"}],"predecessor-version":[{"id":364,"href":"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-json\/wp\/v2\/pages\/16\/revisions\/364"}],"wp:attachment":[{"href":"https:\/\/perso.imj-prg.fr\/olivier-debarre\/wp-json\/wp\/v2\/media?parent=16"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}