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The requirements for this seminar are to

1. Give a talk on a topic or paper (suggestions below)
2. Write up notes for the talk
3. Actively participate during the talks

 

Suggested Topics:

• Hermitian line bundles and Chern connections
• Kähler Ricci Flow
• Kähler class and Kähler cone
• Hodge decomposition
• Calabi's extremal Kähler metrics
• Kähler metrics in physics (zumino1979, huybrechts2005)
• Reduction of structure group
• Extremal Kähler metrics (calabi1982)
• Calabi conjecture
• Generalized Kähler metrics

 

Suggested references:

• Lectures on Kähler Geometry - Andrei Moroianu 2004
• Complex Geometry; An Introduction - Daniel Huybrechts 2005
• Canonical Metrics in Kähler Geometry - Gang Tian 2000
• Lecture notes on the Kähler-Ricci Flow - Jian Song, Ben Weinkove 2012
• Über eine bemerkenswerte Hermitesche Metrik - Erich Kähler 1933
• Supersymmetry and Kähler manifolds - Bruno Zumino 1979
• Extremal Kähler metrics - Eugenio Calabi 1982
• The Hamiltonian geometry of the space of unitary connections with symplectic curvature - Joel Fine 2014
• Symmetric Spaces, Kähler Geometry and Hamiltonian Dynamics - Simon Donaldson 1999
• Moment Maps and Diffeomorphisms - Simon Donaldson 2000
• Morita Equivalence and the generalized Kähler potential - Francis Bischoff, Marco Gualtieri, Maxim Zabsine 2018

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