Calibrations and energy-minimizing maps of rank-1 symmetric spaces

Series
Analysis Seminar
Time
Wednesday, March 16, 2022 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Joeseph Hoisungton – University of Georgia – jhoisington@uga.edu – https://www.math.uga.edu/directory/people/joseph-hoisington
Organizer
Mohammad Ghomi

We will prove lower bounds for energy functionals of mappings of the real, complex and quaternionic projective spaces with their canonical Riemannian metrics.  For real and complex projective spaces, these results are sharp, and we will characterize the family of energy-minimizing mappings which occur in these results.  For complex projective spaces, these results extend to all Kahler metrics.  We will discuss the connections between these results and several theorems and questions in systolic geometry.