On the Algebraicity of the Hodge Locus

Explore the algebraicity of the Hodge locus in this Fields Number Theory Seminar lecture delivered by Bruno Klingler from Humboldt University of Berlin. Delve into topics such as universal families of surfaces and complex curves, algebraic cycles, and watch theory. Examine the field map for hot structures and the distribution of special societies. Investigate the level and the idea behind the Zebra Pink Conjunction. Conclude with an engaging arithmetic application that ties the concepts together. Gain insights into this advanced mathematical topic through a comprehensive exploration of its key elements and their interconnections.

Introduction
Universal family of surfaces
Universal family of complex curves
Algebraic cycles
Watch theory
Field map for hot structures
Distribution of the special societies
The level
The idea
Zebra Pink Conjunction
A fun arithmetic application