Milner 317

Wednesdays, 12:30-1:30 PM

Tulane University

**Wednesday, April 12
Milner 317, 12:30 PM**

**Title:** *Rational points on del Pezzo surfaces*

**Abstract:** Algebraic geometers are interested in complex
solutions to polynomial equations, while number theorists are
interested in rational solutions to polynomial equations. When there
are infinitely many rational solutions, it is natural to try to count
the number of points whose size is bounded in some reasonable way (by
using height functions) and to study whether the rational solutions
are equidistributed in a suitable sense (by using a certain adelic
measure). We will discuss these issues for del Pezzo surfaces,
surveying the recent results as well as the open problems in this
area.