Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Conformal Geometry and its Application to Neurogeometry, Lecture IV

Dmitri Alekseevsky

created by daniele on 02 Jun 2015

17 jun 2015 -- 15:00

Aula 15S, Politecnico di Torino

Abstract.

Models of visual systems in early vision

Visual cortex VI as a fibre bundle (Hubel-Wiesel). Problem of internal parameters. Peti- tot model of VI cortex as a Lie contact bundle. Petitot-Citti-Sarti model of VI cortex as a symplectic bundle. Hypercolumns. Bressloff-Cowan model of hypercolumns as a sphere. Unification of Petitot-Citti-Sarti and Bressloff-Cowean models : VI cortex as the bundle of second order conformal frames (Cartan connection) of the conformal sphere. Application to solutions of stability problems.

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