Uploaded March 2026 | Updated September 2026, 3 weeks ago
Workshop on Recent Developments in Hodge Theory and O-minimality
4:00pm|Simonyi Hall 101
Topic: (Quasi)-Periods Functions and Derivatives of Period Maps
Speaker: Jacob Tsimerman
Affiliation: Institute for Advanced Study
Date: March 11, 2026
Given a family X→S, one may consider the corresponding fiber-wise (quasi-) period integrals as (multi)-functions on S. Built out of these using a flag variety, one obtains variation of (mixed) hodge structures giving period map S→D/Γ. We study the question of whether one can recover the periods themselves using the period maps by taking derivatives. Specifically, we show that this is usually true (up to an algebraic closure) and explain when it fails. The proofs make use of o-minimality results. Joint work with Bakker and Pila.
Workshop on Recent Developments in Hodge Theory and O-minimality
4:00pm|Simonyi Hall 101
Topic: (Quasi)-Periods Functions and Derivatives of Period Maps
Speaker: Jacob Tsimerman
Affiliation: Institute for Advanced Study
Date: March 11, 2026
Given a family X→S, one may consider the corresponding fiber-wise (quasi-) period integrals as (multi)-functions on S. Built out of these using a flag variety, one obtains variation of (mixed) hodge structures giving period map S→D/Γ. We study the question of whether one can recover the periods themselves using the period maps by taking derivatives. Specifically, we show that this is usually true (up to an algebraic closure) and explain when it fails. The proofs make use of o-minimality results. Joint work with Bakker and Pila.
