Applications of o-minimality to Hodge theory III
组织者
演讲者
Jiaming Chen
时间
2024年01月16日 15:00 至 16:30
地点
A3-1-301
线上
Zoom 293 812 9202
(BIMSA)
摘要
The goal of this minicourse is to introduce the recent advances in Hodge theory via o-minimal techniques. We will start by revisiting the basics on o-minimal geometry with a view towards algebraization theorems (Pila-Wilkie counting theorem; o-minimal Chow and GAGA theorems in definable complex analytic geometry). In the realm of Hodge theory, we will explore several applications:
(i) the definability of period maps (which enables us to easily recover a theorem of Cattani-Deligne-Kaplan on the algebraicity of Hodge loci) and the algebraicity of images of period maps (Griffiths conjecture);
(ii) Ax-Schanuel for variations of Hodge structures;
(iii) distribution of Hodge loci.