İstanbul Matematiksel Bilimler Merkezi Seminerleri
Curves with many points over finite fields
Christophe Ritzenthaler
University Rennes I, Fransa
In his lectures at Harvard in 1985, Serre started the quest for closed fomulas for the
maximal number of points of curves of small genera over finite fields. So far, this has
been achieved only for g=0,1 and 2. We will review the situation and explain what we
can currently do for genus 3. This is a joint work (in progress) with Fabien Narbonne
and Damien Robert.
