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UID:news695@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20190202T194348
DTSTART;TZID=Europe/Zurich:20150220T103000
SUMMARY:Seminar Algebra and Geometry: Jörg Winkelmann (Ruhr-Universität B
 ochum)
DESCRIPTION:Conjecturally abundance of entire curves is closely related to 
 abundance  of rational points on projective varieties defined over a numbe
 r field.This  is discussed in connection with algebraic groups and prinici
 pal  bundles. More precisely\, let X be a projective manifold\, G an algeb
 raic  group and E a G-principal bundle on X\, all defined over some number
   field K. Then E admits a Zariskidense set of L-rational points for  some
  finite extension field iff X does. This corresponds to the homotopy  lift
 ing property whose complex analytic analogue allows to lift entire  curves
 .
X-ALT-DESC: Conjecturally abundance of entire curves is closely related to 
 abundance  of rational points on projective varieties defined over a numbe
 r field.<br /><br />This  is discussed in connection with algebraic groups
  and prinicipal  bundles. More precisely\, let X be a projective manifold\
 , G an algebraic  group and E a G-principal bundle on X\, all defined over
  some number  field K. Then E admits a Zariski<br />dense set of L-rationa
 l points for  some finite extension field iff X does. This corresponds to 
 the homotopy  lifting property whose complex analytic analogue allows to l
 ift entire  curves.
DTEND;TZID=Europe/Zurich:20150220T120000
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