Viviana Jorgelina del Barco


 

Professora Doutora at

Instituto de Matemática, Estatística e Computação Científica

Universidade Estadual de Campinas





Sala 218

Rua Sérgio Buarque de Holanda, 651

13083-859 Campinas - São Paulo

BRAZIL

Tél. : +55 (19) 3521-6068

e-mail: delbarc@ime.unicamp.br


CV Lattes







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Research interests.

 

My research focuses mainly on the study of geometric structures on differential manifolds which are invariant under Lie group actions.

Interesting webinars.

 

--      AmSur/AmSul Geometry Webinar Webpage

--      Virtual seminar on geometry with symmetries Webpage

--      Seminario (Web) de Geometría Diferencial You tube channel

--      Geometry & TACoS Montly sessions Webpage

Previous Positions.

 

         June 2015 - July 2021: Assistant Researcher at CONICET, Argentina.

         March 2014 - February 2021: Adjoint Professor at Math. Department, FCEIA Universidad Nacional de Rosario, Argentina.

         Oct. 2019 - Nov. 2020, ATER (temporary teaching assistant position) at the Laboratoire de Mathématiques, Université Paris-Saclay, France.

         May 2016 - April 2019 : Postdoctoral researcher at IMECC (Brazil) within the Lie Theory research group. Funded by FAPESP

         Dec. 2017 - Nov. 2018 : Postdoctoral internship abroad, visiting LMO (France). Funded by FAPESP

         April 2012 - March 2014 : Postdoctoral researcher at FCEIA (Argentina) within the Differential Geometry and Lie Theory research group. Funded by CONICET

Publications. (Orcid - zbMATH - MR Id - Google scholar)

 

24.      Locally conformally product structures on solvmanifolds (with A. Andrada and A. Moroianu) 2023, Ann. Mat. Pura Appl. [link to the article] [arxiv]

23.      Ad-invariant metrics on nonnice nilpotent Lie algebras (with D. Conti and F. A. Rossi) 2021, J. Algebra Appl. [link to the article] [arxiv]

22 .      Uniqueness of ad-invariant metrics (with D. Conti and F. A. Rossi) 2021, to appear in Tohoku Math. J. [arxiv]

21.      Weyl-Einstein structures on conformal solvmanifolds (with A. Moroianu and A. Schichl) Geom. Dedicata 217, article number 9 (2023) [link to the article] [arxiv] [online view]

20.      Conformal Killing forms on 2-step nilpotent Riemannian Lie groups (with A. Moroianu) Forum Math. 33 (5) 1331--1347 2021. [link to the article] [arxiv]

19.      Conformal Killing symmetric tensors on Lie groups (with A. Moroianu) J. Lie Theory 32(1) (2022) 1-22. [link to the article] [arxiv]

18.      Purely coclosed G2-structures on 2-step nilpotent Lie groups (with A. Moroianu and A. Raffero) Rev. Mat. Complut. 35 (2022) 323-359. [link to the article] [arxiv]

17.      Higher degree Killing forms on 2-step nilmanifolds (with A. Moroianu) J. Algebra 563 (2020) 251-273. [link to the article] [arxiv]

16.      Diagram involutions and homogeneous Ricci-flat metrics (with D. Conti and F. A. Rossi) Manuscripta Math. 165 (2021) 381-413 [link to the article] [arxiv]

15.      Symmetric Killing tensors on nilmanifolds (with A. Moroianu) Bull. Soc. Math. France 148.3 (2020), pp. 411-438. [link to the article] [arxiv]

14.      Killing forms on 2-step nilmanifolds (with A. Moroianu) J. Geom. Anal. 31, pp. 863-887 (2021) [link to the article] [arxiv]

13.      Symplectic structures on free nilpotent Lie algebras. Proc. Japan Acad. Ser. A Math. Sci. 95.8 (2019), pp. 88-90. [link to the article] [arxiv]

12.      De Rham 2-cohomology of real flag manifolds (with L. San Martin) SIGMA 15 (2019), 051, 23 pages. [link to the article] [arxiv]

11.      On generalized G2-structures and T-duality (with L. Grama) J. Geom. Phys. 132 (2018) 109-113. [link to the article] [arxiv]

10.      T-duality on nilmanifolds (with L. Grama and L. Soriani) J. High Energ. Phys. (2018) 2018: 153. [link to the article] [arxiv]

9.      Invariant almost complex structures on real flag manifolds (with A. Cruz de Freitas and L. San Martin) Ann. Mat. Pura Appl. 197 (6) (2018) 1821-1844. [link to the article] [arxiv]

8.      Nilradicals of parabolic subalgebras admitting symplectic structures (with L. Cagliero) Differ. Geom. Appl. 46 (2016) 1-13. [link to the article] [arXiv]

7.      Homogeneous geodesics in pseudo-Riemannian nilmanifolds Adv. Geom. 16 (2) (2016) 175-188. [link to the article] [arxiv]

6.      On a spectral sequence for the cohomology of a nilpotent Lie algebras J. Algebra Appl. 14 (1) (2015) Id: 1450078, 17pages [link to the article] [arxiv]

5.      Isometric actions on pseudo-Riemannian nilmanifolds (with G. Ovando) Ann. Glob. Anal. Geom. 45 (2) (2014) 95-110. [link to the article] [arxiv]

4.      On the isometry groups of invariant Lorentzian metrics on the Heisenberg group (with G. Ovando and F. Vittone) Mediterr. J. Math. 11 (1) (2014) 137-153. [link to the article] (previous version [arxiv])

3.      Lorentzian compact manifolds: isometries and geodesics (with G. Ovando and F. Vittone) J. Geom. Phys 78 (2014) 48-58. [link to the article][arxiv]

2.      Symplectic structures on nilmanifolds: an obstruction for its existence. J. Lie Theory 24 (3) (2014) 889-908. [link to the article] [arxiv]

1.      Free nilpotent Lie algebras admitting ad-invariant metrics (with G. Ovando) J. Algebra 366 (2012) 205-216.[link to the article] [arxiv]

Preprints.

 

25.      G_2 instantons on 2-step nilpotent Lie groups (with A. Clarke and A. J. Moreno) 2023 [arxiv]

26.      Lie algebras admitting symmetric, invariant and nondegenerate bilinear forms 2016 [arxiv]

Curriculum.

         English [CV]

Thesis.

         An aproximation to the study of nilmanifolds.Cohomology and its applications. March 2012 [.pdf] (in Spanish)

         Advisor: Dra. Isabel Dotti

         Second Advisor: Dra. Gabriela Ovando

Links.

         FCEIA

         UNR

         CONICET

         IMECC

         UNICAMP

         FAPESP

         Unión Matemática Argentina

         Sociedade Brasileira de Matemática

         Encuentro de Geometría Rosario 2012















Last update: April 13th, 2024.

Previous update: March 21st, 2024. Today autumn starts in the southern hemisphere. Well.. actually a few hours before to be more precise. This is my favourite season.

Previous update: February 28th, 2024. Yesterday, it was celebrated the day of creation of the Argentinean flag .

Previous update: April 4th, 2023. Yesterday, it was celebrated the Researchers' Day in Argentina, in honor to Dr. Bernardo Houssay .

Previous update: January 2023... Happy new year!

Previous update: April 2nd, 2022. "En el marco de los 40 años del conflicto del Atlántico Sur, ratificamos, como hace ya casi 200 años, el reclamo por ejercicio de la plena soberanía argentina sobre las Islas Malvinas, Georgias del Sur, Sandwich del Sur y los espacios marítimos correspondientes." [Día del veterano y de los caídos en la guerra de Malvinas]

 



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