Back to Departmental Colloquium: Spring 2000
Departmental Colloquium
Date: Tuesday, Apr 18, 2000
Time: 4:15PM
Location: JWB 335
Paul Bresloff
Loughborough University
Title |
Geometric hallucinations, Euclidean symmetry and pattern formation in primary visual cortex |
Abstract |
We show that the circuitry of the primary visual cortex has approximate Euclidean symmetry with a novel group action. This action gives rise to the spontaneous formation of cortical patterns that generate images in the visual field (via a conformal mapping) consistent with some of the common forms of geometric visual hallucinations. Various techniques from group theory and nonlinear analysis will be applied to the problem of computing the types of patterns and their stability. |
Geometric Group Theory
Group Actions