Analysis Seminar

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

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).
Date: Monday, September 21, 2015
Time: 4:00pm
Where: Lunt 103
Contact Person: Prof. Aaron Naber
Contact email: anaber@mit.edu
Contact Phone: 847-491-5580
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