Theory of Atoms via Examples, Lecture 5: Hodge Structures, Variation of Hodge Structures and Noncommutative Hodge Structures

Monday, 13 October 2025 @ 14:00-Monday, 13 October 2025 @ 15:30-

The Theory of Atoms is a recent formalism introduced by Katzarkov, Kontsevich, Pantev, and Yu, which aims to integrate classical Hodge theory with symplectic geometry, seeking applications in birational geometry.

To properly understand it, we must gather concepts from many areas of knowledge, ranging from Gromov-Witten theory and enumerative algebraic geometry to classical and noncommutative Hodge theory. This series is designed to be an example-driven introduction, providing the essential background needed to understand this new theory.

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Theory of Atoms via Examples, Lecture 4: Hodge Structures and Variation of Hodge Structures
Theory of Atoms via Examples, Lecture 6: Variations of Noncommutative Hodge Structures