Tetrahedra and inspheres

Sala 0.04
Friday, 14 January, 2005 - 15:00

Let A,B,C be vertices of a triangle T= T(A,B,C) in the Euclidean plane. The inscribed circle is the largest circle inside T, which touches it at exactly three points A',B',C'. Continuing iteratively we get a nested sequence of triangles which converge to a unique point z. J.L.Synge (1897-1995) posed the problem of understanding the dependence of z = z(A,B,C) on the initial triangle. We shall discuss this and some generalizations (e.g., to higher dimensions)

Speaker: 

M. Pollicott
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