## UW-PIMS Mathematics Colloquium: Christopher D. Hacon

- Date: 10/31/2014
- Time: 14:30

Lecturer(s):
Christopher D. Hacon,

*The University of Utah*
Location:

University of Washington

Topic:

Which Powers Of A Holomorphic Function Are Integrable?

Description:

Let f = f(z1, . . . , zn) be a holomorphic function defined on an open subset P ∈ U ⊂ Cn. The log canonical threshold of f at P is the largest s ∈ R such that |f|s is locally integrable at P. This invariant gives a sophisticated measure of the singularities of the set defined by the zero locus of f which is of importance in a variety of contexts (such as the minimal model program and the existence of Kähler-Einstein metrics in the negatively curved case). In this talk we will discuss recent results on the remarkable structure enjoyed by these invariants.

Other Information:

Location: SIG 225