Generalized geometry for 3-manifolds, Poisson 2022 conference. An introduction to generalized geometry through differential forms and an account on the progress towards an open question since 2012. |
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The Calabi system and non-Kahler Calabi-Yau through generalized geometry, Geometry and Topology of (Almost) Complex Manifolds. An overview video talk summarizing some of my works. |
2024 Generalized metrics: slice theorem and moduli space |
2022 New approaches to geometric structures: generalized and complex Dirac geometry |
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2022 Generalized geometry for 3-manifolds.
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2019 Canonical metrics on holomorphic Courant algebroids.
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2018 On exceptional symmetric Gelfand pairs.
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2015 Geometric structures in Bn-geometry.
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2015 SU(3)-holonomy, Strominger&generalized Killing spinors.
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2012 Higgs bundles and hermitian symmetric spaces
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15 Jul 2024. Generalized geometric structures and invariants on 3-manifolds Poisson Days, IGAP SISSA-ICTP, Trieste. |
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13 May 2024. New geometric structures on 3-manifolds from generalized geometry , Generalized Geometry meets String Theory conference, BIRS-IMAG, Granada. |
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21 Feb 2024. Generalized metrics: slice theorem and moduli space, Mathematical Supergravity, UNED, Madrid. |
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25 Jan 2024. Generalized geometry through Clifford algebra glasses, Cable Car Algebra Seminar, University of Haifa. |
4-8 Sep 2023. New geometric structures on 3-manifolds through generalized geometry, Spanish-Polish Mathematical Meeting RSME SEMA SCM PTM, invited to Differential Geometry and Geometric Analysis session. |
27 Jul 2022. Generalized geometry for 3-manifolds, Poisson 2022 conference. |
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8 Mar 2022. Canonical metrics on holomorphic Courant algebroids. Generalized Ricci flow seminar. |
16 Dec 2021 Generalized complex geometry and three-manifolds in the Real and complex geometry seminar, Tel-Aviv University |
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1-3 Dec 2021 Mini-course 'Generalized geometry and complex Dirac structures' in the International Young Researchers Workshop on Geometry, Mechanics and Control, CRM. Videos here. |
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4 May 2020. Generalized diffeomorphisms acting on generalized metrics. Research seminar on differential geometry, Universität Hamburg. |
25-26 Jun 2019. Higgs bundles, the Toledo invariant, and the Cayley correspondence. Two invited lectures at Stability of bundles Vs. varieties, Brest (France). |
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14 Jun 2019. An introduction to generalized geometry Joint algebraic geometry seminar of Barcelona. |
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10 Apr 2019. Canonical metrics on holomorphic Courant algebroids. Invited talk at Meeting of the Spanish Geometric Analysis Network, Murcia. |
22 Nov 2018. From classical structures to Dirac structures and generalized complex geometry. Seminari de Geometria, UAB. |
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6 Nov 2018. A taste of generalized complex geometry. BGSMath 2018 Junior Meeting, University of Barcelona. Invited to short talk. |
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31 Jul 2018. On exceptional symmetric Gelfand pairs. Algebraic Geometry and Representation Theory Seminar, Weizmann Institute of Science. |
4 Sep 2017. Lagrangian is too strong for higher Poisson and higher Dirac. IV Congreso de Jóvenes Investigadores, University of Valencia. Invited speaker to parallel session. | |
4 Sep 2017. An introduction to Higgs bundles via surface group representations and a bit of Jordan algebras. IV Congreso de Jóvenes Investigadores, University of Valencia. Invited speaker to parallel session. |
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15 Mar 2017. Higher analogues of symplectic, Poisson and Dirac structures. Geometry and Topology Seminar, UFRJ. | |
8 Mar 2017. Surface group representations, Higgs bundles and the Toledo invariant. Algebra seminar, IMPA. |
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10 Feb 2017. Some recent developments in generalized geometry and Dirac structures. Quinzena de Geometria, UFRJ. |
13 Dec 2016. The moduli space of generalized metrics on an exact Courant algebroid. Invited to Conference on String Geometries and Dualities (Australia-Brazil meeting), IMPA. Video of the talk here. |
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6 Dec 2016. The Toledo invariant through the Toledo character, and maximal Higgs bundles. Invited to the thematic session on Algebraic Geometry, II Congresso Brasileiro de Jovens Pesquisadores em Matemática Pura e Aplicada, Campinas. |
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14 Jul 2016. The Toledo invariant and the Cayley correspondence for Higgs bundles. Invited to the thematic session Higgs bundles, instantons and real character varieties, V Latin American Congress of Mathematicians (CLAM). |
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12 Jul 2016. Higher-Dirac structures and their foliated geometry. Invited to the thematic session Geometric structures in Mathematical Physics, V Latin American Congress of Mathematicians (CLAM). |
07 Dec 2015. Geometric structures in Bn-geometry. Invited to the special session Geometric structures on manifolds, First joint meeting SBM - SBMAC - RSME, Fortaleza. |
3 Nov 2015. Milnor-Wood inequality for Higgs bundles and the Cayley correspondence. Invited to Higher Teichmüller theory and Higgs bundles- Interactions and new trends, University of Heidelberg. | |
06 Aug 2015. Geometria Generalizada: do bem básico ao sistema de Strominger. Departamento de Física, UFPE, Recife. |
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30 Jul 2015. SU(3)-holonomy, Strominger and generalized Killing spinors. Invited to 30 Colóquio Brasileiro de Matemáticas, IMPA. | |
23 Jun 2015. From the Strominger system to generalized geometry. Invited speker to the III Workshop on Poisson Geometry and related topics, IMECC, Campinas. |
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18 Mar 2015. G2 and G2(2) in generalized geometry. |
14 Nov 2014. Generalized geometry of type Bn. |
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10 Oct 2014. Generalized complex geometry guided tour. |
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1 Apr 2014. Retorciendo la geometría generalizada hasta la T-dualidad. |
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31 Mar 2014. Pares o nones en geometría
generalizada compleja. | |
24 Feb 2014. The odds (and evens) of generalized complex geometry. |
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20 Feb 2014. Doctor, I look at complex and symplectic structures and I see the same!, Junior Geometry and Topology Seminar, University of Oxford, UK. |
15 Oct 2013. Not-so-odd generalized geometry. |
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19 Sep 2013. El carácter de Toledo y la correspondencia de Cayley para fibrados de Higgs, 2 Congreso Jóvenes Investigadores RSME, University of Seville, Spain. Invited speaker to parallel session. |
13 Sep 2012. Maximal Higgs bundles and the Cayley transform, Indo-Spanish Conference on Geometry and Analysis, dedicated to Prof. Narasimhan for its 80th birthday, ICMAT, Madrid. Invited speaker. |
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7 Aug 2012. Higgs bundles and Hermitian symmetric spaces, GEAR Retreat 2012, Urbana-Champaign, Illinois. Invited speaker. | |
2 Apr 2012. B_n-Generalized geometry and G2(2)-structures YRM 2012, Bristol. |
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16 Feb 2012. Generalized Geometry - a starter course, Junior Geometry and Topology Seminar, Mathematical Institute, Oxford. |
27 Jun 2011. Higgs bundles and Hermitian symmetric spaces, VBAC 2011, Newton Institute, Cambridge. |
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7 Jun 2011. Generalized Bn-geometry, GEOMAPS retreat/workshop 2011, Aarhus Universitet, Aarhus. | |
14 Apr 2011. Deconstructing Cayley (transform), Young Researchers in Mathematics, University of Warwick. | |
31 Mar 2011. From the Cayley transform to Higgs bundles, TCC Geometry Day 2011, Imperial College, London. |
2010 Higgs bundles and generalized Cayley correspondence, International Congress of Mathematicians, Hyderabad (India). |
2009 Transforming the Cayley transform, Seminaire des Thésards, Institut de Mathématiques de Jussieu, Paris. |
2009 Exceptional Hermitian symmetric spaces and Higgs bundles, Higgs bundle spring day, ICMAT CSIC-UAM-UC3M-UCM, Madrid.
2009 G-Higgs bundles: Toledo, Milnor, Wood, Cayley, E6 and E7, Geometry and Topology Seminar, Centro da Matemática (University of Porto).
2008 Hermitian G-Higgs bundles exceptionally flavoured, Junior Geometry and Topology Seminar, Mathematical Institute (University of Oxford).
2008 Representación simbólica de la realidad acústica, Residencia de Estudiantes, Madrid.
2008 Introducción a los fibrados de Higgs, ICMAT.
2006 Álgebras de Lie nilpotentes, resolubles, semisimples y reductivas, Junior Geometry Seminar of ICMAT.