UW-PIMS Mathematics Colloquium

Sponsored by the UW Department of Mathematics and the Pacific Institute for the Mathematical Sciences.

October 17, 2014 at 2:30pm
SIG 225
Marianna Csörnyei
The University of Chicago
Geometry of Null Sets

We show how product decompositions of measures can detect directionality in sets. In order to show this we prove that sets of small measure are always contained in a "small" number of Lipschitz surfaces. We also discuss the higher co-dimensional versions of our statements. This is a joint work with Peter Jones.

October 31, 2014 at 2:30pm
SIG 225
Christopher D. Hacon
The University of Utah
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.

November 21, 2014 at 2:30pm
SIG 225
Andrea R. Nahmod
University of Massachusetts Amherst
Title and abstract forthcoming

February 20, 2014 at 2:30pm
Mark Rudelson
University of Michigan
Title and abstract forthcoming

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