
Modul: MAT770 Oberseminar: Algebraische Geometrie
Equidistribution of Weierstrass points on curves over nonArchimedean fields
Dr. Omid Amini's talk Date: 30.03.15 Time: 13.15  14.45 Room: Y27H25 I will present the following nonArchimedean version of a theorem of Mumford
and Neeman on equidistribution of Weierstrass points on Riemann surfaces: let X be a smooth
proper curve over a nonArchimedean field of equicharacteristic zero, and L an ample line bundle
on X. The Weierstrass points of powers of L are equidistributed according to the ZhangArakelov measure.
The main tool in the proof is a framework of limit linear series which generalises the work of Eisenbud
and Harris in the eighties to any semistable curve. Time permitting, I will report on applications in
arithmetic geometry.

