Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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SMI course "Kaehler-Einstein metrics"

created by calamai on 03 Nov 2016
modified by daniele on 07 May 2017

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.

Participants (37).

Timetable.

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: A. Otiman: Twisted cohomology of LCS solvmanifolds Cortona
2 May 2017: G. Chen: Classification of gravitational instantons Cortona
3 May 2017: P. Gauduchon: The convexity of the Ding functional Cortona
4 May 2017: C. Yao: Hypersymplectic $4$-manifolds, the $G_2$ Laplacian flow and extension under bounded torsion Cortona
4 May 2017: L. Li: Regularization of plurisubharmonic functions, revisited Cortona
5 May 2017: K. Zheng: Convergence of the Calabi flow Cortona

Speakers: Gao Chen, Paul Gauduchon, Long Li, Alexandra Otiman, Cristiano Spotti, Chengjian Yao, Kai Zheng.


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