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TZID:Europe/Paris
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BEGIN:VEVENT
UID:5579@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20190110T110000
DTEND;TZID=Europe/Paris:20190110T120000
DTSTAMP:20181226T100000Z
URL:https://www.i2m.univ-amu.fr/events/polyhedral-invariants-for-desingula
rization/
SUMMARY:Polyhedral invariants for desingularization -
DESCRIPTION:The goal of my talk is to present a convex geometric viewpoint
on singularities and their resolution. More presciely\, we discuss how the
Newton polyhedron and the Hironaka polyhedron of a Weierstrass polynomial
provide invariants of the singularity that reflect how ``bad" the singula
rities are. Here\, the Hironaka polyhedron is a certain projection of the
Newton polyhedron. After a brief introduction to the notions\, we study th
e behaviour of the Hironaka polyhedron under blowing ups for curves and su
rfaces. Then we explain how this leads to an invariant for desingularizati
on of surfaces in any characteristic that decreases strictly after blowing
up a sufficiently nice center. We focus on the ideas and try to hide the
technical details as good as possible. This is joint work with Vincent Co
ssart (Versailles).http://sites.google.com/site/scb16105/
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TZID:Europe/Paris
X-LIC-LOCATION:Europe/Paris
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DTSTART:20181028T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
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