GR14 SNS "Geometry of non Kähler manifolds"

Details

• Title. "Geometry of non-Kähler manifolds".
• Type of grant. Progetto di Ricerca Giovani Ricercatori 2014 by Scuola Normale Superiore.
• Institution. Centro di Ricerca Matematica "Ennio de Giorgi", Scuola Normale Superiore, Pisa.
• Participants. Daniele Angella (PI), Simone Calamai, Tommaso Pacini.
• Duration. One year (from January 07, 2015 to September 22, 2015).
• Budget. 7000 euros.

Papers

• Daniele Angella, Adriano Tomassini, Stability of holomorphically-parallelizable manifolds, C. R. Math. Acad. Sci. Paris 353 (2015), no. 8, pp. 741-745 (arXiv:1411.6460).
• Daniele Angella, Simone Calamai, Cristiano Spotti, On the Chern-Yamabe problem, to appear in Math. Res. Lett. (arXiv:1501.02638).
• Daniele Angella, Simone Calamai, Hisashi Kasuya, Cohomologies of generalized complex manifolds and nilmanifolds, to appear in J. Geom. Anal. (arXiv:1405.0981).
• Daniele Angella, Luis Ugarte, Locally conformal Hermitian metrics on complex non-K\"ahler manifolds, to appear in Mediterranean Journal of Mathematics (arXiv:1505.08007).
• Daniele Angella, Luis Ugarte, On small deformations of balanced manifolds (arXiv:1502.07581).
• Daniele Angella, Simone Calamai, Adela Latorre, On cohomological decomposition of generalized-complex structures, J. Geom. Phys. 98 (2015), 227-241 (arXiv:1406.2101).
• Daniele Angella, Antonio Otal, Luis Ugarte, Raquel Villacampa, Complex structures of splitting-type (arXiv:1507.03385).
• Daniele Angella, On the Bott-Chern and Aeppli cohomology, in Bielefeld Geometry & Topology Days (arXiv:1507.07112).
• Daniele Angella, Nicoletta Tardini, Quantitative and qualitative cohomological properties for non-Kähler manifolds (arXiv:1507.07108).
• Simone Calamai, David Petrecca, Kai Zheng, The geodesic problem for the Dirichlet metric and the Ebin metric on the space of Sasakian metrics (arXiv:1405.1211).
• Simone Calamai, Kai Zheng, Geodesics in the space of Kähler cone metrics, I, Amer. J. Math. 137 (2015), no. 5, 1149-1208 (arXiv:1205.0056).

Funded events

• April 19-25, 2015, Cortona: SMI School "Extremal Kählerian metrics and stability" by Paul Gauduchon.
• May 15, 2015, Pisa: Workshop "A Complex Geometry Day".

Seminars

• May 26, 2015, Pisa: Junyan Cao, "Kodaira dimension of algebraic fiber spaces over abelian varieties".
• July 10, 2015, Pisa: Victor Vuletescu, "A gentle introduction to lck geometry".
• July 13, 2015, Pisa: Michela Zedda, "E. Calabi's diastasis function".
• September 22, 2015, Pisa: Fabio Zuddas, "Symplectic invariants of Hermitian symmetric spaces".

Invited visitors

• May 24-30, 2015, Pisa: Junyan Cao.
• September 21-22, 2015, Pisa: Fabio Zuddas.