Atomic seminar: Introduction to Hodge atoms

by Jenia Tevelev

Abstract. Brief introduction to several recent papers:
• arXiv:2508.05105 – Birational Invariants from Hodge Structures and Quantum Multiplication (Ludmil Katzarkov, Maxim Kontsevich, Tony Pantev, Tony Yue Yu)
• arXiv:2307.13555 – Quantum Cohomology of Blowups (Hiroshi Iritani)
• arXiv:2508.15770 – Quantum Cohomology of Variations of GIT Quotients and Flips (Zhaoxing Gu, Song Yu, Tony Yue Yu)
• arXiv:2411.02266 – Decomposition and Framing of F-bundles and Applications to Quantum Cohomology (Thorgal Hinault, Tony Yue Yu, Chi Zhang, Shaowu Zhang)