Speaker: Julius Ross <br>

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Title: Constant scalar curvature orbifold metrics and stability of
orbifolds through embeddings in weighted projective spaces <br>


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Abstract: There is a conjectural relationship due to
Yau-Tian-Donaldson between stability of projective manifolds and the
existence of canonical Kahler metrics (e.g. Kahler-Einstein metrics).
Embedding the projective manifold in a large projective space gives on
one hand a Geometric Invariant Theory stability problem (by changing
coordinates on the projective space) and on the other a notion of
balanced metric which can be used to approximate the canonical Kahler
metric in question.  I shall discuss joint work with Richard Thomas
that extends this framework to orbifolds with cyclic quotient
singularities using embeddings in weighted projective space, and
examples that show how several obstructions to constant scalar