Cubic hypersurfaces over global fields

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Event details

Date 12.11.2014
Hour 15:1516:15
Speaker Pankaj Vishe
Location
Category Conferences - Seminars
Abstract: Let X be a smooth cubic hypersurface of dimension m defined over a global field K. A conjecture of Colliot-Thelene(02) states that X satisfies the Hasse Principle and Weak approximation as long as m\geq 3. We use a global version of Hardy-Littlewood circle method along with the theory of global L-functions to establish this for m\geq 6, in the case K=F_q(t), where char(F_q)> 3.

Practical information

  • Informed public
  • Free

Organizer

  • Natascha Fontana

Contact

  • Natascha Fontana

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