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SUMMARY:Damaris Schindler (University of Göttingen)
DTSTART:20220520T103000Z
DTEND:20220520T113000Z
DTSTAMP:20260423T022142Z
UID:ntsea/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ntsea/14/">D
 ensity of rational points near/on compact manifolds with certain curvature
  conditions</a>\nby Damaris Schindler (University of Göttingen) as part o
 f Number theory by the sea\n\n\nAbstract\nIn this talk I will discuss join
 t work with Shuntaro Yamagishi where we\nestablish an asymptotic formula f
 or the number of rational points\, with bounded\ndenominators\, within a g
 iven distance to a compact submanifold M of R^n with a\ncertain curvature 
 condition. Technically we build on work of Huang on the density of\nration
 al points near hypersurfaces. One of our goals is to explore generalisatio
 ns\nto higher codimension. In particular we show that assuming certain cur
 vature\nconditions in codimension at least two\, leads to upper bounds for
  the number of\nrational points on M which are even stronger than what wou
 ld be predicted by the\nanalogue of Serre's dimension growth conjecture.\n
LOCATION:https://researchseminars.org/talk/ntsea/14/
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