30 apr 2017 - 6 may 2017
Palazzone di Cortona
Aim of the course is to present classical and recent results on Kaehler-Einstein metrics on compact complex manifolds, focusing on existence (e.g., Yau’s proof of the Calabi’s conjecture, alpha invariant criterion), obstructions, relations to algebraic geometric notions of stability (e.g. K-stability) and examples (e.g., KE metrics on Toric Fano manifolds).
The event is supported by: Scuola Matematica Interuniversitaria; Dipartimento di Matematica e Informatica "Ulisse Dini", Firenze; SIR2014 AnHyC "Analytic aspects in complex and hypercomplex geometry" (code RBSI14DYEB); GNSAGA-INdAM.
Organizers: Daniele Angella, Simone Calamai, Graziano Gentili, Cristiano Spotti, Nicoletta Tardini.
Courses:
1 May 2017: C. Spotti: Kaehler-Einstein metrics, 1 Cortona
1 May 2017: C. Spotti: Kaehler-Einstein metrics, 2 Cortona
2 May 2017: C. Spotti: Kaehler-Einstein metrics, 3 Cortona
2 May 2017: C. Spotti: Kaehler-Einstein metrics, 4 Cortona
3 May 2017: C. Spotti: Kaehler-Einstein metrics, 5 Cortona
3 May 2017: C. Spotti: Kaehler-Einstein metrics, 6 Cortona
4 May 2017: C. Spotti: Kaehler-Einstein metrics, 7 Cortona
4 May 2017: C. Spotti: Kaehler-Einstein metrics, 8 Cortona
5 May 2017: C. Spotti: Kaehler-Einstein metrics, 9 Cortona
5 May 2017: C. Spotti: Kaehler-Einstein metrics, 10 Cortona
Seminars:
2 May 2017
14:30 -
A. Otiman:
Twisted cohomology of LCS solvmanifolds
16:00 -
G. Chen:
Classification of gravitational instantons
3 May 2017
14:30 -
P. Gauduchon:
The convexity of the Ding functional
4 May 2017
14:30 -
C. Yao:
Hypersymplectic $4$-manifolds, the $G_2$ Laplacian flow and extension under bounded torsion
16:00 -
L. Li:
Regularization of plurisubharmonic functions, revisited
5 May 2017
14:30 -
K. Zheng:
Convergence of the Calabi flow
Speakers: Gao Chen, Paul Gauduchon, Long Li, Alexandra Otiman, Cristiano Spotti, Chengjian Yao, Kai Zheng.
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