Why Markman's Theorem Saves the Hodge Conjecture from Kontsevich's Tropical Counterexamples - Part 2

Explore the second part of Patrick Brosnan's lecture on why Markman's theorem saves the Hodge conjecture for Weil type abelian fourfolds from Kontsevich's tropical counterexamples. Delivered at the third GADEPs focused conference on Noether-Lefschetz and Hodge loci, this 51-minute talk delves into advanced mathematical concepts surrounding periods, Hodge theory, and algebraic geometry. Gain insights into the latest developments in the study of Noether-Lefschetz loci and Hodge loci, their properties as local analytic varieties, and their connections to algebraic surfaces. Part of a broader scientific program featuring mini-courses and lectures by experts in the field, this conference aims to foster discussions and collaborations on cutting-edge research in geometry, arithmetic, and differential equations of periods.