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SUMMARY:Discriminants: an interplay between algebra\, combinatorics and ge
 ometry - Sandra di Rocco\, KTH
DTSTART:20190204T160000Z
DTEND:20190204T170000Z
UID:TALK115174@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:The term “discriminant” is well known in relation with low
  degree univariate equations\nor ordinary differential equations and it ha
 s a well defined geometrical meaning naturally connected to\nthe way our v
 ision grasps geometrical shapes. The discriminant of polynomials with spec
 ified shape (when it exists)\nis an (irreducible) polynomial\, whose varia
 bles are  in coefficients of the assigned shape\, vanishing when the corre
 sponding polynomial has multiple roots. \nFinding the discriminant  or at 
 least estimating its degree is a classical\, well explored problem in math
 ematics which\nstill faces many challenges.\n\nBesides its importance in c
 omputational mathematics\, the discriminant locus carries deep and interes
 ting geometrical and combinatorial insights and is one example of fruitful
  interplay between classical projective algebraic geometry and convex real
  geometry.\n\nThis interplay will be the main theme of the talk. Besides t
 he classical theory of discriminants\, natural generalisations \nassociate
 d to systems of polynomial equations will be presented.
LOCATION:MR3
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