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BEGIN:VEVENT
UID:2655@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20190110T110000
DTEND;TZID=Europe/Paris:20190110T120000
DTSTAMP:20181226T100000Z
URL:https://www.i2m.univ-amu.fr/evenements/polyhedral-invariants-for-desin
 gularization/
SUMMARY: (...): Polyhedral invariants for desingularization
DESCRIPTION:: The goal of my talk is to present a convex geometric viewpoin
 t on singularities and their resolution. More presciely\, we discuss how t
 he Newton polyhedron and the Hironaka polyhedron of a Weierstrass polynomi
 al provide invariants of the singularity that reflect how ``bad" the singu
 larities are. Here\, the Hironaka polyhedron is a certain projection of th
 e Newton polyhedron. After a brief introduction to the notions\, we study 
 the behaviour of the Hironaka polyhedron under blowing ups for curves and 
 surfaces. Then we explain how this leads to an invariant for desingulariza
 tion of surfaces in any characteristic that decreases strictly after blowi
 ng up a sufficiently nice center. We focus on the ideas and try to hide th
 e technical details as good as possible.  This is joint work with Vincent 
 Cossart (Versailles).http://sites.google.com/site/scb16105/
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DTSTART:20181028T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
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