The Spring 2015 Kolchin Lecture by Prof. Christopher Hacon (University of Utah) will take place on Thursday, February 19, 2015, at 3 p.m.

Prof. Hacon will deliver a talk titled:

*“Which Powers Of A Holomorphic Function Are Integrable?”
*

Abstract: “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.”

Thursday, February 19, 2015, at 3 p.m.

417 Mathematics Hall

2990 Broadway at 117th Street

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