Séminaire AFRIMath de Géométrie et Topologie

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Convex bodies in real algebraic geometry

Date
-
Orateur
Antonio Lerario
Institution
Sissa, Trieste
Résumé

I will discuss recent progress on the appearance of convex bodies for counting problems in real algebraic geometry, explaining a probabilistic approach to real Schubert calculus.

Otto’s metric of location-scale model is a warped Riemannian metric

Date
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Orateur
Birou Lawalé CHITOU
Institution
Universté d'Abomey-Calavi (Cotonou)
Résumé

In this paper, we show that the Otto’s metric on a location-scale model defined on a Riemannian manifold is a warped Riemannian metric. This has been done by assuming that the location-scale model is invariant under the action of some Lie group. The obtained result is applied to the von Mises-Fisher model and to the Riemannian Gaussian model.