Differential Geometry Seminar: Yuguang Zhang (Capital Normal University via UCSD), 'Degenerations of Calabi-Yau manifolds'

Event Date: 

Friday, February 1, 2013 -
3:00pm to 4:00pm

Event Location: 

  • 6635 South Hall

Event Contact: 

Guofang Wei

Email: wei@math.ucsb.edu

In this talk, we study the Gromov-Hausdorff convergence of Ricci-flat metrics under degenerations of Calabi-Yau manifolds. More precisely, for a family of polarized Calabi-Yau manifolds degenerating to a singular Calabi-Yau variety, we prove that the Gromov-Hausdorff limit of Ricci-flat kahler metrics on them is unique.