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SUMMARY:Ariyan Javanpeykar (University of Mainz)
DTSTART:20200419T180500Z
DTEND:20200419T183000Z
DTSTAMP:20260416T151656Z
UID:Wagon/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Wagon/7/">Al
 banese maps and fundamental groups of varieties with many rational points 
 over function fields</a>\nby Ariyan Javanpeykar (University of Mainz) as p
 art of Western Algebraic Geometry ONline\n\n\nAbstract\nIn this talk we wi
 ll discuss topological properties of varieties with many rational points o
 ver a function field\, and present joint work-in-progress with Erwan Rouss
 eau. More precisely\, we define a smooth projective variety X over the com
 plex numbers to be geometrically-special if there is a dense set of closed
  points S in X such that\, for every x in S\, there is a pointed curve (C\
 ,c) and a sequence of morphisms (C\,c)->(X\,x) which covers C x X\, i.e.\,
  the union of their graphs is Zariski-dense in C x X. Roughly speaking\, a
  variety is geometrically-special if it satisfies density of "pointed" rat
 ional points over some function field. Inspired by conjectures of Campana 
 on special varieties and Lang on hyperbolic varieties\, we prove that ever
 y linear quotient of the fundamental group pi_1(X) of such a variety is vi
 rtually abelian.\n
LOCATION:https://researchseminars.org/talk/Wagon/7/
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