Seminar Event Detail

Algebraic Geometry

Date:  Wednesday, April 22, 2015
Location:  4096 East Hall (4:00 PM to 6:00 PM)

Title:  Log discrepancy of Isolated singularities and Reeb orbits.

Abstract:   Let A be an affine variety inside a complex N-dimensional vector space which has an isolated singularity at the origin. The intersection of A with a very small sphere turns out to be a manifold called the link of A. The link has a natural hyperplane distribution called a contact structure. If the singularity is numerically Q-Gorenstein, then we can assign an invariant to our singularity, called the minimal discrepancy. We relate the minimal discrepancy with the contact geometry of our link. As a result, we show that if the link of A is contactomorphic to the link of C^3 and A is normal, then A is smooth at 0. This generalizes a theorem of Mumford in dimension 2.


Speaker:  Mark Mclean
Institution:  Stony Brook University

Event Organizer:     


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