Tame Geometry and Hodge Theory II

Explore a comprehensive lecture on the applications of tame geometry to Hodge theory and periods. Delve into o-minimal structures and their tameness properties before examining the use of tame geometry in proving algebraization results, including the Pila-Wilkie theorem and o-minimal Chow and GAGA theorems in definable complex analytic geometry. Investigate the tameness of period maps and its implications for the algebraicity of period map images. Analyze functional transcendence results of Ax-Schanuel type for variations of Hodge structures, and discuss atypical intersection conjectures in Hodge theory. Presented by Bruno Klingler from Berlin, this 1-hour 18-minute talk offers an in-depth survey of recent advancements in the field.