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G2-structures and where to find them. An introduction to G2 geometry.

Alberto Raffero

Mat/03 - Geometria

Abstract:

Given a Riemannian manifold (M,g), it may admit further geometric structures compatible with the Riemannian metric g. Various meaningful examples, such as almost Hermitian structures, are related to the study of Riemannian holonomy groups. Among them, the geometric structures associated with the exceptional Lie group G2 are of interest both in differential geometry and in theoretical physics.

In this talk, I shall explain the basics of G2 geometry, and I shall discuss some known results and open problems.

22-01-2019, h. 17.00

Aula 4, Dipartimento di Matematica "G. Peano"

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