# F-Signature and Relative Hilbert-Kunz Multiplicity Revisited

Tuesday, September 25, 2012 -

4:30pm to 6:00pm

In this talk, building on an observation of Yao, we will sketch a partial answer to a question of Watanabe and Yoshida by showing that the F-signature and relative Hilbert-Kunz multiplicity (for cyclic modules) coincide. The method of proof also suggests a number of generalizations of F-signature which we will present as time allows.

Speaker:

Kevin Tucker

Princeton University

Event Location:

Fine Hall 322