General information

Time and Place

5 – 9 October in room M 102

Description

The seminar aims to introduce several fundamental methods and tools of algebraic geometry through the study of algebraic curves.

Schedule

Important!

The following schedule is preliminary

DayTimeSpeakerContent
05.1011:00–13:00Sebastian RohrLocal structure of smooth curves, maps between curves
13:00–14:30–/–/–Lunch
14:30–16:30Shi DongClosed points of smooth projective curves and dominant morphisms between curves
06.1010:00–12:00Pavel SechinLine bundles, linear systems, divisors, maps to projective spaces
12:00–13:30–/–/–Lunch
13:00–15:30Sasha BonacciMaps from curves to a projective space and applications of the Riemann–Roch
15:30–16:00–/–/–Coffee break
16:00–18:00Zihan HeCurves of genus \(0\)
07.1011:00–13:00Yiming WangRiemann–Hurwitz formula: the Lüroth’s theorem, endomorphisms of curves of genus \(g>1\)
13:00–14:30–/–/–Lunch
14:30–16:30Anjali PaulBelyi’s theorem and Dessin d’Enfants
08.1010:00–12:00Lei KuangCubic curves: construction of the group law
12:00–13:30–/–/–Lunch
13:00–15:30Michael LindnerElliptic curves: \(j\)-invariant, Jacobian, cohomology
15:30–16:00–/–/–Coffee break
16:00–18:00Sara DonèJacobians
09.1011:00–13:00Aditya MarodiaCohomology, Riemann–Roch, and Serre Duality – 1
13:00–14:30–/–/–Lunch
14:30–16:30Jacopo MazzeiCohomology, Riemann–Roch, and Serre Duality – 2