EVENT DETAILS AND ABSTRACT

Title: Compactness questions for triholomorphic maps
Speaker: Costante Bellettini
Speaker Info: Princeton University
Brief Description:
Special Note:
Abstract:

A triholomorphic map u between hyperKahler manifolds solves the "quaternion del-bar" equation du=I du i + J du j + K du k. Such a map turns out, under suitable assumptions, to be stationary harmonic. We focus on compactness issues regarding the quantization of the Dirichlet energy and the structure of the blow-up set. We can relax the assumptions on the manifolds, in particular we can take the domain to be merely "quaternion Kahler": this leads to the weaker notion of "almost-stationarity", without however affecting our compactness results. This is a joint work with G. Tian (Princeton).