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12:00 pm Friday, April 13, 2012 Geometry-Analysis Seminar: Discriminant separability and quad-graphs integrabilityby Vladimir Dragovic (GFM Univ. of Lisbon/Math. Institute SANU, Belgrade) in HB227- Abstract. The talk consists of two parts which both deal with pencils of quadrics and integrable quad graphs. In the first part, the class of discriminantly separable polynomials in three variables of degree two in each, which we introduced recently, is classified and connected with pencils of conics. It is related then to integrable quad-graphs in the sense of Adler, Bobenko and Suris. In the second part, we start with the billiard algebra, associated with billiard systems within pencils of quadrics. Our recent "six-pointed star theorem", which is an operational consistency for the billiard algebra operation can be interpreted as a consistency condition for a line congruence. The results from the first part are joint with Katarina Kukic, and from the second part with Milena Radnovic.
Submitted by dani@rice.edu |