On the Non-Abelian Hodge Locus - GADEPs Conference III
Explore a conference talk on the non-abelian Hodge locus presented by Salim Tayou at the third GADEPs focused conference on Noether-Lefschetz and Hodge loci. Delve into the intricate world of periods, multiple integrals, and their applications in geometry, arithmetic, and differential equations. Gain insights into the challenges surrounding Noether-Lefschetz loci in parameter spaces of algebraic surfaces and the use of transcendental tools from periods and Hodge theory to study them as local analytic varieties. Discover the concept of Hodge loci as a generalization of Noether-Lefschetz loci and learn about the Cattani-Deligne-Kaplan theorem's implications for their algebraic nature. Engage with a comprehensive scientific program featuring mini-courses by experts and research talks, fostering discussions on recent developments in this fascinating mathematical field.