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Counting rational points on cubic hypersurfaces

Date: Thursday, March 28, 2019 13:00 - 15:30
Speaker: Per Salberger (Chalmers University of Technology and University of Gothenburg)
Location: Big Seminar room Ground floor / Office Bldg West (I21.EG.101)
Series: Mathematics and CS Seminar
Host: Tim Browning
Contact: MARR Lena
Lab building west seminar room

Abstract:

Let N(X;B) be the number of rational points of height at most B on an
integral cubic hypersurface X over Q. It is then a central problem in Diophantine
geometry to study the asymptotic behavior of N(X;B) when B growths. We present
some recent results on this for various classes of cubic hypersurfaces.
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