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SUMMARY:Discriminants: an interplay between algebra\, combinatorics and ge
 ometry - Sandra di Rocco\, KTH
DTSTART:20190204T160000Z
DTEND:20190204T170000Z
UID:TALK212509@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.\n\nBesides its importance in computati
 onal mathematics\, the discriminant locus carries deep and interesting geo
 metrical and combinatorial insights and is one example of fruitful interpl
 ay between classical projective algebraic geometry and convex real geometr
 y.\n\nThis interplay will be the main theme of the talk. Besides the class
 ical theory of discriminants\, natural generalisations associated to syste
 ms of polynomial equations will be presented
LOCATION:CMS MR2
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