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
Fundamentals of Digital Image and Video ProcessingNorthwestern University via Coursera Signals and Systems, Part 1
Indian Institute of Technology Bombay via edX Getting started in cryo-EM
California Institute of Technology via Coursera Networks and Systems
Indian Institute of Technology Madras via Swayam MRI Fundamentals
Korea Advanced Institute of Science and Technology via Coursera