Applications of Unlikely Intersections to Integral Geometry

Explore how infinitesimal period maps enable the transfer of Hodge-theoretic unlikely intersection results from characteristic zero to positive characteristic for sufficiently large primes in this mathematical lecture. Learn about the theoretical framework that connects these seemingly disparate areas of mathematics and discover how methods from algebraic geometry and number theory intersect in unexpected ways. Examine several key results that demonstrate this transfer principle and gain insight into the proof techniques employed, including work developed in collaboration with Ziquan Yang. Delve into the sophisticated mathematical machinery that underlies these connections and understand how unlikely intersections provide a powerful tool for studying geometric problems across different mathematical contexts.