The Geometric Andre-Grothendieck Period Conjecture

The Geometric Andre-Grothendieck Period Conjecture

Explore the intricacies of period integrals in complex algebraic varieties through this conference talk by B. Bakker from UIC. Delve into the heart of Hodge theory as the speaker elucidates a version of the Ax-Schanuel conjecture for period integrals in families. Discover how this proof serves as a capstone to recent advances in the transcendence theory of period maps. Examine the connection between this work and the functional version of the Andre-Grothendieck period conjecture, which postulates that all algebraic relations between period integrals stem from geometry. Gain insights into this collaborative research with J. Tsimerman, presented as part of the "Periods, Shafarevich Maps & Applications" conference at the University of Miami.