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SUMMARY:Moduli Spaces of Canonical Metrics: Metric Riemannian Geometry and 
	Topology
DTSTAMP:20260330T195000Z
DTSTART;VALUE=DATE:20251122
DTEND;VALUE=DATE:20251127
DESCRIPTION:How to “visualize” the shape of a manifold? More technically\, 
	how can one describe the topological and geometric structures of manifolds
	 in a quantitative way? In modern differential geometry\, a fundamental st
	rategy is to appropriately “normalize” the shape by canonical metrics — th
	e Riemannian metrics that satisfy certain nonlinear partial differential e
	quations. The seminar will be devoted to investigating canonical metrics a
	nd address several basic questions\, such as: regularity theory — how well
	 do the canonical metrics perform\; degeneration theory: which kinds of co
	mplications may appear\; moduli space theory — what does the space of all 
	canonical metrics look like?\n\nThe lectures will focus on degenerations a
	nd moduli space of Einstein metrics\, global structures and compactificati
	ons of moduli space\, moduli space and global topological invariants\, etc
	.\n\nDeadline for application: 15 September 2025
URL:https://www.mfo.de/occasion/2548a
LOCATION:Oberwolfach\, Germany
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