Seminar Event Detail


Algebraic Geometry

Date:  Wednesday, March 08, 2017
Location:  4096 East Hall (4:10 PM to 5:30 PM)

Title:  Positivity of cotangent bundles of manifolds with pseudo-effective canonical class

Abstract:   Given a projective manifold, one can measure the positive directions in its tangent bundle by evaluating the slopes of its sub-sheaves with respect to movable classes. We show that the holomorphic foliations with positive slope and stable with respect to a movable class are algebraic. As a consequence, we infer that any quotient of an arbitrary tensor power of the cotangent bundle of the manifold has a pseudo-effective determinant, provided that the canonical class of the manifold is pseudo-effective. This represents a generalization of the celebrated generic semi-positivity theorem by Y. Miyaoka. A few other applications will be discussed. These results are part of a joint work with F. Campana.

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Speaker:  Mihai Paun
Institution:  University of Illinois, Chicago

Event Organizer:     

 

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