Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Prof. Jinbang Yang,USTC
Inviter:
Title:	Motivic local systems and motivic Higgs bundles
Language:	Chinese
Time & Venue:	2024.01.11 14:00-15:00 MCM110
Abstract:	Families of smooth varieties give rise to numerous invariants, among which are the notable Betti-local systems and the Kodaira-Spencer maps—graded Higgs bundles. Direct summands of these local systems and graded Higgs bundles are called motivic. Our understanding of motivic local systems is currently limited, with only a few known cases. In this talk, I will present a method for determining the motivicity of a local system or a Higgs bundle of a specific type. As a consequence, we obtain infinitely many algebraic solutions to the Painleve VI equation. This is a joint work with Kang Zuo.