The regular time and place for the seminar is Tuesday at 3:30 – 4:30 pm in Math Tower 154. If you are interested, please contact Liding Yao. If you are interested to topics of mathematical analysis related to operator theory, take a look to the Analysis and Operator Theory Seminar.

date | speaker | institution | title |
---|---|---|---|

Sep 5 | Alex McDonald | OSU | The Newhouse gap lemma and patterns in products of Cantor sets (part I) |

Sep 12 | Alex McDonald | OSU | The Newhouse gap lemma and patterns in products of Cantor sets (part II) |

Sep 19 | Adam Christopherson | OSU | Weak-type regularity of the Bergman projection on generalized Hartogs triangles in C^3 |

### Alex McDonald

Title: The Newhouse gap lemma and patterns in products of Cantor sets

Abstract: Many important problems throughout mathematics can be summarized as follows: how large must a set be in order to ensure that it exhibits some type of structure? A classic example of importance in geometric measure theory and harmonic analysis is the Falconer distance problem, which asks how large the Hausdorff dimension of a compact set must be to ensure it determines a positive measure worth of distances. More generally, one may ask for an abundance of more complicated point configurations. There has been considerable recent progress on variants of these problems where Hausdorff dimension is replaced by a quantity called thickness, which provides an alternative way to quantify the “size” of a compact set. In these talks, I will give an overview of thickness from the ground up, and discuss some applications to finding point configurations in Cantor sets.

### Adam Christopherson

Title: Weak-type regularity of the Bergman projection on generalized Hartogs triangles in C^3