For more information about this meeting, contact Robert Vaughan, Mihran Papikian, Ae Ja Yee.

Title: | Uniform Dilations in High Dimensions |

Seminar: | Algebra and Number Theory Seminar |

Speaker: | Michael Kelly, University of Michigan |

Abstract: |

It is a theorem of Glasner that given an infinite subset X of the torus R/Z and an epsilon greater than 0 there exists a positive integer n such that any interval of length epsilon in R/Z contains a point of the set nX (that is, nX is epsilon-dense in R/Z). The set nX is called a dilation of X by n. Alon and Peres have shown that the dilation factor n can be chosen to be a prime or n=f(m) for some integral polynomial f with degree(f)>0 and integer m. We will discuss various developments on these sorts of topics and I'll present joint work with Le Thai Hoang where we consider this phenomenon in higher dimensions. |

### Room Reservation Information

Room Number: | MB106 |

Date: | 12 / 04 / 2014 |

Time: | 11:15am - 12:05pm |