Geometria em Lisboa

28 de Março, 14h00

Primitive Harmonic Maps and Loop Groups
Sala B3-01

Rui Pacheco (Universidade da Beira Interior)

Abstract:

In this seminar we describe the Uhlenbeck's characterization of harmonic maps from Riemann surfaces into symmetric spaces in terms of loop groups and its extension to the k-symmetric case. This approach is similar to the one John Wood has been describing in the previous seminars in the series but differs from it in an important respect: the main objects of study are harmonic maps into Lie groups rather than into an arbitrary (k-)symmetric space. Maps into (k-)symmetric spaces are viewed as particular maps into Lie groups via Cartan embeddings.

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