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SUMMARY:Ming Hao Quek (Brown University)
DTSTART:20210924T190000Z
DTEND:20210924T200000Z
DTSTAMP:20260407T214816Z
UID:agstanford/58
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/agstanford/5
 8/">Logarithmic resolution of singularities via multi-weighted blow-ups</a
 >\nby Ming Hao Quek (Brown University) as part of Stanford algebraic geome
 try seminar\n\n\nAbstract\nWe revisit the theorem of Hironaka that one can
  resolve the singularities of a singular\, reduced closed subscheme X of a
  smooth scheme Y over a field of characteristic zero\, such that the singu
 lar locus of X is transformed to a simple normal crossings divisor. We pro
 pose a computable yet efficient algorithm\, which accomplishes this by tak
 ing successive proper transforms along a sequence of multi-weighted blow-u
 ps\, where at each step\, the worst singular locus is blown up\, and one w
 itnesses an immediate improvement in singularities. Here\, multi-weighted 
 blow-ups are necessary to ensure that the ambient space remains smooth (in
  fact\, also logarithmically smooth with respect to the logarithmic struct
 ure associated to the exceptional divisors)\, although one has to work mor
 e broadly with Artin stacks. This is joint work with Dan Abramovich.\n
LOCATION:https://researchseminars.org/talk/agstanford/58/
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