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Jason Lotay (Univ. College London) |
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| Title : Stability, conifolds and G2 geometry |
Abstract
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Conifolds are manifolds which have asymptotically conical ends or
have conical singularities. In the context of G_2 geometry, key geometric
questions for conifolds are intimately related to the spectrum of an
elliptic operator on the cross-section of the cone. From this spectrum,
based on the pioneering work of Joyce, one is led to define an integer
invariant associated with the cone called the stability index. I will
describe the connections that the stability index has to various problems
for conifolds, with an especial focus on coassociative submanifolds in
7-manifolds with G_2 holonomy, including: deformation theory, gluing
problems and existence and uniqueness questions.
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Organizer: Reiko Miyaoka
Contact：
Grants-in-Aids for Scientific research：23340012 |
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