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SUMMARY:Andrew Obus (City University New York)
DTSTART:20210224T160000Z
DTEND:20210224T170000Z
DTSTAMP:20260423T024737Z
UID:hnts/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/hnts/22/">Fu
 n with Mac Lane valuations</a>\nby Andrew Obus (City University New York) 
 as part of Heilbronn number theory seminar\n\n\nAbstract\nMac Lane's techn
 ique of "inductive valuations" is over 80 years old\, but has only recentl
 y been used to attack problems about arithmetic surfaces.  We will give an
  explicit\, hands-on introduction to the theory\, requiring little backgro
 und beyond the definition of a non-archimedean valuation.  \n\nWe will the
 n outline how this theory is useful for resolving "weak wild" quotient sin
 gularities of arithmetic surfaces (joint with Stefan Wewers)\, proving con
 ductor-discriminant inequalities for hyperelliptic and superelliptic curve
 s (joint with Padmavathi Srinivasan)\, and understanding regular models of
  potentially Mumford curves (joint with Daniele Turchetti).\n
LOCATION:https://researchseminars.org/talk/hnts/22/
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