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Title:
G2-manifolds and Particle Physics
Speaker:
Abstract:
G2-holonomy spaces serve as well motivated models of the seven extra dimensions of space predicted by M-theory. I will review how this leads to a completely geometric picture of all the known elementary forces including gravity. Special kinds of singularity of G2-spaces play a crucial role in this picture, which one might regard as a generalisation of the McKay correspondence. I will try to describe some mathematical problems which have arisen from this work concerning the existence of G2-holonomy metrics with singularities and questions about the moduli space of G2-manifolds.
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