A Fourier Transform for Abelian Fibrations
Offered By: Hausdorff Center for Mathematics via YouTube
Course Description
Overview
Explore a lecture on the theory of Fourier transform for abelian fibrations with singular fibers. Delve into the extension of the Beauville decomposition for abelian schemes and its governance of the perverse filtration. Examine applications confirming the motivic decomposition conjecture of Corti-Hanamura and the multiplicativity of the perverse filtration. Investigate the interaction between the perverse filtration and tautological classes. Learn about the potential construction of a Lefschetz decomposition compatible with the Fourier transform in the Lagrangian setting. Gain insights into this complementary work to Davesh Maulik's talk, based on joint research with Davesh Maulik and Qizheng Yin.
Syllabus
Junliang Shen: A Fourier transform for abelian fibrations
Taught by
Hausdorff Center for Mathematics
Related Courses
Introduction to Algebraic Geometry and Commutative AlgebraIndian Institute of Science Bangalore via Swayam Introduction to Algebraic Geometry and Commutative Algebra
NPTEL via YouTube Basic Algebraic Geometry - Varieties, Morphisms, Local Rings, Function Fields and Nonsingularity
NPTEL via YouTube Basic Algebraic Geometry
NIOS via YouTube Affine and Projective Geometry, and the Problem of Lines
Insights into Mathematics via YouTube