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SUMMARY:Hunter Spink (Stanford)
DTSTART;VALUE=DATE-TIME:20220902T190000Z
DTEND;VALUE=DATE-TIME:20220902T200000Z
DTSTAMP;VALUE=DATE-TIME:20221209T130217Z
UID:agstanford/93
DESCRIPTION:Title: Examples of o-minimality in algebraic geometry\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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