Algebraic Geometry Seminar: Daniel Hernandez (Michigan)

  • Date: 11/15/2010
Lecturer(s):
Daniel Hernandez (University of Michigan)
Location: 

University of British Columbia

Topic: 

Log canonical singularities and F-purity for hypersurfaces

Description: 

To any polynomial over a perfect field of positive characteristic, one may associate an invariant called the F-pure threshold. This invariant, defined using the Frobenius morphism on the ambient space, can be thought of as a positive characteristic analog of the well-known log canonical threshold in characteristic zero. In this talk, we will present some examples of F-pure thresholds, and discuss the relationship between F-pure thresholds and log canonical thresholds. We also point out how these results are related to the longstanding open problem regarding the equivalence of (dense) F-pure type and log canonical singularities for hypersurfaces in complex affine space.

Schedule: 

3:00pm-4:00pm, WMAX 110

Sponsor: 

pims