You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar.
Speaker: Enis Kaya (KU Leuven)
“Rational curves on del Pezzo surfaces”
Abstract: In this talk, we explore the connection between the enumerative geometry of rational curves on del Pezzo surfaces over a field k and the arithmetic properties of k. In particular, we classify the number of k-rational lines and conic families that can occur on del Pezzo surfaces of degrees 3 through 9 in terms of the Galois theory of k, and we give partial results in degrees 1 and 2. Our results generalize well-known theorems in the setting of smooth cubic surfaces. This is joint work in progress with Stephen McKean, Sam Streeter and Harkaran Uppal.
Date: 1 November 2024, Friday
Time: 15:40 (GMT+3)
Place: Zoom
This is an online seminar. To request the event link, please send a message to sertoz@bilkent.edu.tr