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UID:news319@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20211104T143247
DTSTART;TZID=Europe/Zurich:20181108T141500
SUMMARY:Number Theory Seminar: David Masser (Univ. of Basel)
DESCRIPTION:Inspired by Schanuel's Conjecture\, Boris Zilber has proposed a
  ``Nullstellensatz'' (also conjectural) asserting which sorts of polynomia
 l-exponential equations in several variables have a complex solution. Last
  year Dale Brownawell and I published a proof in the situation which can b
 e regarded as ``typical''. But it does not cover all situations for two va
 riables\, some of which involve simply stated problems in one variable lik
 e finding complex $z \\neq 0$ with $e^z+e^{1/z}=1$. Recently Vincenzo Mant
 ova and I have settled the general case of two variables. We describe our 
 methods -- for example\, to solve $$e^z+e^{\\root 9 \\of {1-z^9}}=1$$ one 
 approach uses theta functions on ${\\bf C}^{28}$.
X-ALT-DESC: Inspired by Schanuel's Conjecture\, Boris Zilber has proposed a
  ``Nullstellensatz'' (also conjectural) asserting which sorts of polynomia
 l-exponential equations in several variables have a complex solution. Last
  year Dale Brownawell and I published a proof in the situation which can b
 e regarded as ``typical''. But it does not cover all situations for two va
 riables\, some of which involve simply stated problems in one variable lik
 e finding complex $z \\neq 0$ with $e^z+e^{1/z}=1$. Recently Vincenzo Mant
 ova and I have settled the general case of two variables. We describe our 
 methods -- for example\, to solve <br />$$e^z+e^{\\root 9 \\of {1-z^9}}=1$
 $ <br />one approach uses theta functions on ${\\bf C}^{28}$.
DTEND;TZID=Europe/Zurich:20181108T151500
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