# Colloquium

Last updated: 2019/09/20 - 2:22pm

#### Model theory and complexity

##### Maryanthe Malliaris (University of Chicago)
Friday, September 27 - 12:00 pm
Physics 119

The ultraproduct construction in model theory gives a way of averaging an infinite sequence of mathematical structures, such as fields, graphs, or linear orders. The talk will be about the strength of...

#### Intrinsic complexity: from approximation of random vectors and random fields to solutions of PDEs

##### Hongkai Zhao (University of California, Irvine)
Friday, October 4 - 12:00 pm
119 Physics

We characterize the intrinsic complexity of a set in a metric space by the least dimension of a linear space that can approximate the set to a given tolerance. This is dual to the characterization of...