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SUMMARY:Applications of computational algebraic geometry in physics - Mike
  Stillman (Cornell University)
DTSTART:20230425T150000Z
DTEND:20230425T160000Z
UID:TALK199645@talks.cam.ac.uk
CONTACT:Mark Gross
DESCRIPTION:A number of problems in theoretical physics can be translated 
 to\nproblems in computational algebraic geometry.  In this talk\, I focus\
 non one such problem: Describing the possible vacua of supersymmetric\nfie
 ld theories.  No prior knowledge of physics is required.\n\nIn one importa
 nt case related to the standard model of particle\nphysics\, this problem 
 boils down to a daunting computational algebra\nproblem: understanding the
  image of a polynomial map froa 49 dimensional vector space to a 973 dimen
 sional vector space\, seemingly a hopeless task!\n\nIt turns out that we c
 an solve a large part of this problem.\n\nI will very briefly describe the
  physics\, and how the problem is\ntranslated into a computational one\, a
 nd then I will describe the\nalgebraic geometric and computational methods
  and results which allow\nthe structure to become apparent.\n\nJoint work 
 with:\n\nYang-Hui He (Oxford and London Institute of Mathematics\, UK)\nVi
 shnu Jejjala (University of the Witwatersrand\, Johannesburg\, South Afric
 a)\nBrent Nelson (Northeastern University\, USA)\nHal Schenck (Auburn Univ
 ersity\, USA)
LOCATION:CMS MR13
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