Algebraic Geometry Seminar

Recent progress on Hodge loci

Speaker: Bruno Klingler, Humboldt Universit├Ąt, Berlin

Location: Warren Weaver Hall 512

Date: Tuesday, April 9, 2024, 3:30 p.m.


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.