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Andreas Braun: Lectures

April 9, 2019
TITLE: Spin7 Connected Sums and String Theory Dualities

ABSTRACT:

January 10, 2019
TITLE: Exceptional Holonomy, String Duality and Vector Bundles

ABSTRACT: Physics implies that the same data which specify a Calabi-Yau manifold together with a suitable holomorphic vector bundle can equally be used to specify a G_2 manifold. After reviewing the ideas which lead to this connection, detailing some of its aspects and giving detailed examples, I will explains that a similar relationship exists for G_2 manifolds with suitable vector bundles and Spin(7) manifolds. This can e.g. be used to construct G_2 instantons.

September 14, 2017
TITLE: Mirror Symmetry for G2 manifolds

ABSTRACT: String theories on different G_2 manifolds can lead to the same physics in a phenomenon called mirror symmetry. In this talk, I will review mirror symmetry for G_2 manifolds, focusing on recent progress. In particular, I will present constructions of mirror G_2 manifolds realized as twisted connected sums.

Slides of lecture

June 6, 2017
TITLE: Mirror Symmetry for G2 manifolds (see arXiv:1701.05202)

Slides of lecture