Algebraic and Arithmetic Geometry Seminar

Recent progress on Hodge loci

by Bruno Klingler (HU Berlin)

Aula Magna (Department of Mathematics)

Aula Magna

Department of Mathematics

Given a quasi-projective family S of complex algebraic varieties, its Hodge locus is the locus of points of S where the corresponding variety admits exceptional Hodge classes (conjecturally: exceptional algebraic cycles). In this talk I will survey the many recent advances in our understanding of such loci, as well as the remaining open questions.