Colloquium| Institute of Mathematical Sciences
Time: Wednesday, May 15th, 2024 , 16:00-17:00
Location：IMS, RS408
Speaker: Qizhen Yin, Peking University
Abstract: Beauville showed using Fourier transforms that the Chow ring/motive of an abelian variety admits a natural, multiplicative decomposition. I will explain how Beauville’s theory can be extended to certain abelian fibrations with singular fibers. Several cohomological/cycle-theoretic consequences can be derived from this extension, including the P=W conjecture and the Corti-Hanamura motivic decomposition conjecture for the Hitchin fibration. Joint work with Davesh Maulik and Junliang Shen.