Seminars & Colloquia Calendar

Download as iCal file

Complex Analysis and Geometry Seminar

Hermitian-Yang-Mills approach to the conjecture of Griffiths on the positivity of ample vector bundles

Jean-Pierre Demailly - Université Grenoble Alpes/ Institut Fourier

Location:  zoom
Date & time: Friday, 07 May 2021 at 10:00AM - 11:00AM

Abstract: Given a vector bundle of arbitrary rank with ample determinant line bundle on a projective manifold, we propose a new elliptic system of differential equations of Hermitian-Yang-Mills type for the curvature tensor.  The system is designed so that solutions provide Hermitian metrics with positive curvature in the sense of Griffiths – and even in the dual Nakano sense. As a consequence, if an existence result could be obtained for every ample vector bundle, the Griffiths conjecture on the equivalence between ampleness and positivity of vector bundles would be settled. Another outcome of the approach is a new concept of volume for vector bundles.

Link: https://rutgers.zoom.us/j/99446658309?pwd=REFxckd1dlRIT3RBQW8vWEJEYzlmQT09
Meeting ID: 994 4665 8309
Passcode: 718058

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.