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SUMMARY:Hunter Spink (Stanford)
DTSTART:20220902T190000Z
DTEND:20220902T200000Z
DTSTAMP:20260407T214920Z
UID:agstanford/93
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/agstanford/9
 3/">Examples of o-minimality in algebraic geometry</a>\nby Hunter Spink (S
 tanford) as part of Stanford algebraic geometry seminar\n\n\nAbstract\nIn 
 this introductory talk\, we will define o-minimality (a way of augmenting 
 algebraic geometry with functions like $e^x$\, $\\sin$\, $\\cos$\, etc.)\,
  and show:\n\n(1) The number of solutions to a system of polynomials equat
 ions is bounded by a function of the sizes of the supports of the equation
 s\, independent of the sizes of the exponents.\n\n(2) For an irreducible p
 olynomial $f(x\,y)$ not of the form $ax^iy^j+bx^ky^l$ there are only finit
 ely many solutions to $f(x\,y)=0$ with $x$\, $y$ roots of unity.\n
LOCATION:https://researchseminars.org/talk/agstanford/93/
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