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Tue, 24/11 15:45 |
Julius Ross (Cambridge) | Algebraic and Symplectic Geometry Seminar | L3 |
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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 curvature orbifold metrics can be interpreted in terms of stability. |
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Tue, 01/12 13:30 |
Simon Donaldson (Imperial College London) | Algebraic and Symplectic Geometry Seminar | Imperial College |
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This talk will review material, well-known to specialists, on calibrated geometry and Yang-Mills theory over manifolds with holonomy The talk will be held in Room 408, Imperial College Maths Department, Huxley Building, 180 Queen’s Gate, London. |
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Tue, 01/12 15:00 |
Simon Donaldson (Imperial College London) | Algebraic and Symplectic Geometry Seminar | Imperial College |
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This talk will be largely speculative. First we consider the formal properties that could be expected of a "topological field theory" in 6+1 dimensions defined by The talk will be held in Room 408, Imperial College Maths Department, Huxley Building, 180 Queen’s Gate, London. |
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,
or
. We will also describe extensions of the standard set-up, modelled on Gromov's "taming forms" for almost-complex structures.