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SUMMARY:Michel Waldschmidt
DTSTART:20201012T160000Z
DTEND:20201012T170000Z
DTSTAMP:20260423T053132Z
UID:UNYONTC/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UNYONTC/10/"
 >Some variants of Seshadri's constant</a>\nby Michel Waldschmidt as part o
 f Upstate New York Online Number Theory Colloquium\n\n\nAbstract\nSeshadri
 's constant is related to a conjecture due to Nagata. Another conjecture\,
 \nalso due to Nagata and solved by Bombieri in 1970\, is related with alge
 braic values\nof meromorphic functions. The main argument of Bombieri's pr
 oof leads to a Schwarz\nLemma in several variables\, the proof of which gi
 ves rise to another invariant\nassociated with symbolic powers of the idea
 l of functions vanishing on a finite set\nof points. This invariant is an 
 asymptotic measure of the least degree of a\npolynomial in several variabl
 es with given order of vanishing on a finite set of\npoints. Recent works 
 on the resurgence of ideals of points and the containment\nproblem compare
  powers and symbolic powers of ideals.\n
LOCATION:https://researchseminars.org/talk/UNYONTC/10/
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