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# Goncalo Oliveira (Duke University), Geometric Methods in Representation Theory Seminar

## February 10, 2017 @ 4:00 pm - 5:00 pm

**Title:** Gerbes on G2-manifolds

**Abstract:** On a projective complex manifold, the Abelian group of Divisors (Div) maps onto that of holomorphic line bundles (the Picard group). I shall explain a similar construction for G2-manifolds. This uses coassociative submanifolds to define an analogue of Div, and a gauge theoretical equation for a connection on a gerbe to define an analogue of the Picard group.