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Title:
Stability and differential geometry
Speaker:
Abstract:
The talk will be of survey type, with no new results. We will review some of the history, starting with bundles over algebraic curves and the work of Narasimhan and Seshadri, and the role of moment maps in forming a bridge between differential geometry and algebro-geometric stability. We will discuss some similarities and differences between the theories for varieties and bundles and the specific example of deformations of the Mukai-Umemura Fano threefold. In the last part of the talk we will discuss the constant scalar curvature (non-Fano) case and in particular toric varieties.
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