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TZID:Europe/Paris
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UID:6859@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20200116T140000
DTEND;TZID=Europe/Paris:20200116T150000
DTSTAMP:20250118T133413Z
URL:https://www.i2m.univ-amu.fr/evenements/josnei-novacoski-extension-of-v
 aluation-rings-and-associated-graded-algebras/
SUMMARY: (...): Josnei NOVACOSKI - Extension of valuation rings and associa
 ted graded algebras
DESCRIPTION:: Josnei NOVACOSKI (Universidade Federal de São Carlos\, UFSCa
 r\, Brazil)\n\nThe main goal of this talk  is to present some properties 
 of an extension of valuations from classical invariants. More specifically
 \, we consider  a valued field $(K\,nu)$ and an extension $omega$ of $nu$
  to a finite extension $L$ of $K$. Then we study when the valuation ring o
 f $omega$ is essentially finitely generated over the valuation ring of $nu
 $. We present a necessary condition in terms of classic invariants of the 
 extension and show that in some particular cases\, this condition is also 
 sufficient. We also discuss when the corresponding extension of graded alg
 ebras is finitely generated. For this problem we present an equivalent con
 dition (which is weaker than the one for the finite generation of the valu
 ation rings).\n\nThis is a joint work with Steven Dale Cutkosky.
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Josnei_Novacoski.jpg
CATEGORIES:Groupe de travail,Singularités
LOCATION:St Charles - FRUMAM\, 3\, place Victor Hugo\, Marseille\, 13003\, 
 France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3\, place Victor Hugo\, Mar
 seille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=St Charles - FRUMAM:geo
 :0,0
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DTSTART:20191027T020000
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