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1:30-2:30$B!!(BCoassociative conifolds 1: smoothings of cones<br>
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4:00-5:00$B!!(BCoassociative conifolds 2: singularities and stability<br>
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Coassociative conifolds 1: smoothings of cones<br>
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Coassociative 4-folds are important examples of calibrated, hence
volume-minimizing, submanifolds and are inherently related to
Riemannian manifolds with exceptional holonomy group G_2. In this
first talk, I will discuss the theory of asymptotically conical
coassociative 4-folds, which are smoothings of coassociative cones,
including describing their moduli space of deformations. These
submanifolds are particularly important for providing local models
for resolving singular coassociative 4-folds.<br>
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Coassociative conifolds 2: singularities and stability<br>
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Singular coassociative 4-folds help us to understand the boundary of
the moduli space of smooth coassociative 4-folds and are important
from the point of view coassociative fibrations of compact G_2
manifolds. One of the simplest models of a singularity is given by
a cone. In this second talk, I will discuss the theory of
coassociative conical singularities, with a particular focus on the
role of a numerical invariant associated to coassociative cones
called the stability index.<br>
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