Author Archive: raphy

In the Euclidean space E of dimension n; an affine invariant point (resp. set) on the class of convex bodies of dimension $n$, endowed with the Hausdorff metric, is a continuous map from this class into  E (resp. into itself…
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Integral formulae on foliated Riemannian manifolds provide obstructions for the existence of foliations satisfying given geometric properties. Here, we shall  present a bit of history of this subject: from Reeb (1950) till Rovenski-Walczak (2012), and  brand new results obtained by…
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Tropicalization involves passing to an ordered group M, usually taken to be (R,+) or (Q,+), and viewed as a semifield. Although there is a rich theory arising from this viewpoint, idempotent semi-rings possess a restricted algebraic structure theory, and also…
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Tuesday April 21 at 2 pm in room 614. Speaker: Daoud Bshouty (Technion) Title: Univalent Harmonic Mappings onto Polygons. Abstract: A sense preserving harmonic mapping as opposed to analytic mapping is a function f=u+iv  from a domain in the complex…
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We shall discuss some recent progress regarding a conjecture of Godbersen on mixed volumes, and other measures of symmetry, including the functional settings. Based of joint work with Keshet Gutman, Dan Florentin and Yaron Ostrover.

I will report some recent results on groups with good metric approximation properties, called weak sofic and weak hyperlinear groups. The class of weak sofic groups was introduced by L. Glebsky and L. M. Rivera, as a generalization of the…
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Suppose a light source is placed in a polygonal hall of mirrors (so light can bounce off the walls). Does every point in the room get illuminated? This elementary geometrical question was open from the 1950s until Tokarsky (1995) found…
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