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Speaker: Marta Pieropan (UU)

Event details of General Mathematics Colloquium
13 April 2022
16:00 -16:45


Rational points on Fano varieties 


Fano varieties form one of the fundamental classes of building blocks in the birational classification of algebraic varieties. In this talk I will discuss how their special geometric properties can be used to study their arithmetic. I will focus on a few conjectures about their rational points over number fields (potential density, Manin’s conjecture) and how they can be investigated by determining the asymptotic behavior of certain counting functions of rational points. All the main objects involved will be introduced and illustrated by examples. A summary of the literature on the topic will be discussed, including my own contribution.


Science Park 107, Room F3.20, or hybrid