Differential Geometry Seminar/Hao Fang, University of Iowa

Event Date: 

Friday, December 6, 2013 -
3:00pm to 4:00pm

Event Location: 

  • 6635 South Hall

Title: A spectral approach to singularity theory

Abstract: In a joint work in progress with Fuijun Fan, motivated by LG mirror symmetry theory in physics, we study a modified d-bar operator over complete Kahler manifolds. We study its spectral properties and establish a corresponding index theorem. We construct new torsion type invariants and point out possible applications to singularity theory.