THE ENERGY OF VECTOR BUNDLES

Prelegent(ci)

FABIO EUGENIO GIOVANNI CIPRIANI

Afiliacja

Politecnico di Milano, Italy

Język referatu

angielski

Termin

28 maja 2025 17:15

Informacje na temat wydarzenia

IMPAN 405 & ZOOM

Tytuł w języku polskim

THE ENERGY OF VECTOR BUNDLES

Seminarium

North Atlantic Noncommutative Geometry Seminar

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Using ideas of (noncommutative) potential theory, we introduce the concept of energy E(V) of a vector bundle V over a Riemannian manifold and, more generally, over a Dirichlet space. We show that, in low dimension, E(V) measures the non-triviality of V, and that it is sub-additive on the semigroup of classes of vector bundles. Finally, we derive equations satisfied by the harmonic symmetries and projections representing critical points of the energy E(V). 

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