UW-PIMS Mathematics Colloquium: Christopher D. Hacon

  • Date: 10/31/2014
  • Time: 14:30
Christopher D. Hacon, The University of Utah

University of Washington


Which Powers Of A Holomorphic Function Are Integrable?


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