Cahit Arf Lecture 2005 by Peter Sarnak

Peter Sarnak
School of Mathematics, Institute for Advanced Study, Einstein Drive, Princeton N.J. 08540
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Hilbert's Eleventh Problem

Date: December 17, 2005
at 14:30

Cahit Arf Auditorium
Department of Mathematics
Middle East Technical University
Ankara, Turkey

Supported by


Hilbert's 11-th problem asks about the representation of integers (respectively rationals) in a number field by integral (respectively rational) quadratic form. The rational case was resolved a long time ago, being the well known Hasse Minkowski theorem. The integral case is apparently much more difficult and was only resolved recently. Its solution depends on works of many people. We will describe the problem and outline its solution.