Летняя математическая школа "Алгебра и геометрия"

Height zeta functions

Юрий Чинкель (Courant Institute of Mathematical Sciences, New York, США)

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Резюме

Height zeta functions play a central role in the study of asymptotics of rational points of bounded height on algebraic varieties of low degree. Of particular interest are varieties closely related to linear algebraic groups. The corresponding height zeta functions can be analyzed via spectral techniques on the underlying adelic group. I will explain the main concepts and tools in this area.

The following lecture notes on "Algebraic varieties with many rational points" may be useful.