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Complex Geometry Seminar
Complex Geometry Seminar
Hypercomplex Manifolds: Fundamentals and Solvability of Quaternionic Equations
Hypercomplex Manifolds: Fundamentals and Solvability of Quaternionic Equations
Organizers
Speaker
Xiaoxiao Zhang
Time
Monday, July 6, 2026 2:00 PM - 4:00 PM
Venue
A3-1-301
Online
Zoom 928 682 9093
(BIMSA)
Abstract
This talk introduces the definitions and several key results of hypercomplex manifolds. It surveys recent progress on the solvability of quaternionic fully non-linear elliptic equations. Furthermore, I will present joint work with Professor Jixiang Fu from Fudan University, establishing the solvability of a class of quaternionic equations on general compact hyperhermitian manifolds.