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SUMMARY:Daniele Turchetti (Dalhousie)
DTSTART:20200702T223000Z
DTEND:20200702T233000Z
DTSTAMP:20260422T053601Z
UID:SFUQNTAG/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SFUQNTAG/8/"
 >Moduli spaces of Mumford curves over Z</a>\nby Daniele Turchetti (Dalhous
 ie) as part of SFU NT-AG seminar\n\n\nAbstract\nSchottky uniformization is
  the description of an analytic curve as the quotient of an open dense sub
 set of the projective line by the action of a Schottky group.\nAll complex
  curves admit this uniformization\, as well as some $p$-adic curves\, call
 ed Mumford curves.\nIn this talk\, I present a construction of <i>universa
 l Mumford curves</i>\, analytic spaces that parametrize both archimedean a
 nd non-archimedean uniformizable curves of a fixed genus.\nThis result rel
 ies on the existence of suitable moduli spaces for marked Schottky groups\
 , that can be built using the theory of Berkovich spaces over rings of int
 egers of number fields due to Poineau.\n<p>After introducing Poineau's the
 ory from scratch\, I will describe universal Mumford curves and explain ho
 w these can be used as a framework to study the Tate curve and to give hig
 her genus generalizations of it. This is based on joint work with Jérôme
  Poineau.</p>\n
LOCATION:https://researchseminars.org/talk/SFUQNTAG/8/
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