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Orientation maps in the primary visual cortex, gaussian random fields and group representations| old_uid | 15586 |
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| title | Orientation maps in the primary visual cortex, gaussian random fields and group representations |
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| start_date | 2015/05/05 |
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| schedule | 14h30-16h30 |
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| online | no |
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| location_info | salle de conférence |
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| summary | I will first describe some experimental facts on the geometry of orientation maps in the primary visual cortex (area V1) of mammals; this will include the intriguing measurement of a pinwheel (topological singularity) density close to π in very distinct species. The aim of my talk is to identify a few principles that seem necessary for reconstructing this geometry in abstract fashion, and - as a test for their relevance - to use them to introduce V1-like geometries on non-Eucldean spaces. I will focus on theoretical maps which are sampled from Gaussian Random Fields : here the geometrical principles have a simple probabilistic expression, and a natural interpretation in terms of the unitary representations of the Euclidean group of rigid plane motions. Using representations of other groups to shift to non Euclidean geometries might help us understand the conceptual significance of the experimental observations on pinwheel densities. |
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| responsibles | Citti, Nadal, Faugeras |
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