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SUMMARY:Discriminants: an interplay between algebra\, combinatorics and ge
 ometry - Sandra di Rocco (Stockholm)
DTSTART:20190204T160000Z
DTEND:20190204T170000Z
UID:TALK119125@talks.cam.ac.uk
CONTACT:HoD Secretary\, DPMMS
DESCRIPTION:The term “discriminant” is well known in relation with low
  degree univariate equations or ordinary differential equations and it has
  a well defined geometrical meaning naturally connected to the way our vis
 ion grasps geometrical shapes. The discriminant of polynomials with specif
 ied shape (when it exists) is an (irreducible) polynomial\, whose variable
 s are in coefficients of the assigned shape\, vanishing when the correspon
 ding polynomial has multiple roots. Finding the discriminant or at least e
 stimating its degree is a classical\, well explored problem in mathematics
  which still faces many challenges.\nBesides its importance in computation
 al mathematics\, the discriminant locus carries deep and interesting geome
 trical and combinatorial insights and is one example of fruitful interplay
  between classical projective algebraic geometry and convex real geometry.
   This interplay will be the main theme of the talk. Besides the classical
  theory of discriminants\, natural generalisations associated to systems o
 f polynomial equations will be presented.
LOCATION:MR3\, CMS
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