# 59th Annual AustMS Meeting, Adelaide, Australia, 2015

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# Details of talk

Title Homogeneous String connections David Roberts (The University of Adelaide) Dr David Roberts Geometry and Topology 15:40:00 2015-10-01 Higher gauge theory has inspired the theory of String bundles, or more generally 2-bundles, which for suitable choices of manifold and 2-group should form the background geometry for heterotic string theories. Examples with enough detail for geometric or even analytic calculations have been hard to come by, but in the case of homogeneous geometry one can give explicit Lie groupoids that give the higher bundle structure. The next step is clearly to find \emph{String connections} on such higher bundles. This talk will present the theory of homogeneous 2-connections and give examples of geometric String structures on homogeneous spaces. These are one of several equivalent ways to present the data of String connections. This is joint work with Raymond Vozzo.