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SUMMARY:James Upton (University of California San Diego)
DTSTART:20220215T220000Z
DTEND:20220215T223000Z
DTSTAMP:20260423T021233Z
UID:POINT/40
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POINT/40/">N
 ewton Polygons of Artin-Schreier Coverings Curves</a>\nby James Upton (Uni
 versity of California San Diego) as part of POINT: New Developments in Num
 ber Theory\n\n\nAbstract\nLet $X$ be a smooth\, affine\, geometrically con
 nected curve over a finite field of characteristic $p > 2$. Let $C/X$ be a
  finite Galois covering of degree p. A theorem of Kramer-Miller states tha
 t the p-adic Newton polygon NP($C$) is bounded below by a certain Hodge po
 lygon HP($C$) which is defined in terms of local monodromy invariants of $
 C/X$. Our main result is a local criterion that is necessary and sufficien
 t for NP($C$) and HP($C$) to coincide. Time permitting\, we will discuss s
 ome further results concerning the interaction of these two polygons. This
  is joint work with Joe Kramer-Miller.\n\nRegister for the next session of
  NDNT Round 5 on February 15 using the following links:\n\nhttps://uwmadis
 on.zoom.us/meeting/register/tJMkc-2hqDojG9yua5n-EkWxonnHyGeeMJkJ\n
LOCATION:https://researchseminars.org/talk/POINT/40/
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