Geometry working seminarExport this event to calendar

Friday, August 15, 2014 — 2:30 PM EDT

Angelynn Alvarez, University of Houston

“Metrics of Positively Pinched Holomorphic Sectional Curvature on Hirzebruch Surfaces”

In 1975, N. Hitchin proved that the Hirzebruch surfaces Fn = P(OP1 (n)⊕OP1 ), n 0, admit (Hodge) metrics of positive holomorphic sectional curvature K. In this talk, I will determine explicit positive pinching constants c,C such that c K C for these metrics. I will also discuss possible extensions of our methods to projectivized vector bundles of higher rank. This is joint work with Dr. Gordon Heier (University of Houston) and Ananya Chaturvedi (University of Houston).

Location 
MC - Mathematics & Computer Building
5046
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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