Hodge Theory, Between Algebraicity and Transcendence

Explore the recent advances in Hodge theory of complex algebraic varieties in this 42-minute lecture by Bruno Klingler. Delve into the transcendental comparison of two algebraic structures and learn how o-minimal geometry is used to bound this transcendence. Examine topics such as Hodge theory in families, Hodge classes, general topology, and intersection theory. Discover the applications of these concepts in biology and arithmetic aspects. Access the accompanying slides for a comprehensive understanding of this complex mathematical subject.

Intro
Hodge theory in families
Hodge classes in families
Hodge theory at hard transcendental
General topology
Results
Applications
Biology
Hodge theory
Zeiss closure
Intersection theory
The results
Arithmetic aspects