
 9/11/2017: Mtheory/heterotic/type IIA duality
 6/06/2017: Mtheorists’ fantasy shopping list for singular G_{2} manifolds
 1/09/2017: M theory and Type IIA superstring theory: Sixdimensional limits of G_{2} Manifolds
 9/15/2016: Codimension seven singularities in Mtheory compactifications
 9/15/2016: Beyond the standard model
 9/13/2016: The standard model of particle physics
 9/12/2016: Particle physics for mathematicians
 9/6/2016: G_{2} manifolds and particle physics
September 11, 2017
TITLE: Mtheory/heterotic/type IIA duality
June 6, 2017
TITLE: Mtheorists’ fantasy shopping list for singular G_{2} manifolds
January 9, 2017
TITLE: M theory and Type IIA superstring theory: Sixdimensional limits of G_{2} Manifolds
ABSTRACT: M theory spacetimes which are “fibered” by a circle have an alternative description in Type IIA
superstring theory in the limit that the circle is small. Supersymmetry in Type IIA theory leads to
spacetimes that are “CalabiYau threefolds with antiholomorphic involutions together with special Lagrangian
Dbranes and magnetic flux”. M theory/Type IIA duality requires that these arise as S1 collapsed limits of holonomy
manifolds. I will try and review this picture and emphasise the many open mathematical problems. Time permitting,
I will also discuss how “open GromovWitten theory” could be related to associative sub manifolds in M theory.
September 15, 2016
TITLE: Codimension seven singularities in Mtheory compactifications
September 15, 2016
TITLE: Beyond the standard model
September 13, 2016
TITLE: The Standard model of particle physics
September 12, 2016
TITLE: Particle physics for mathmematicians
September 6, 2016
TITLE: G₂manifolds and Particle Physics
ABSTRACT: holonomy spaces serve as well motivated models of the seven extra dimensions of space predicted by Mtheory. I will review how this leads to a completely geometric picture of all the known elementary forces including gravity. Special kinds of singularity of 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 holonomy metrics with singularities and questions about the moduli space of manifolds.