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Algorithms, Combinatorics and Optimization Seminar
Robert Hough Stony Brook University Title: Covering systems of congruences Abstract: A distinct covering system of congruences (DCSC) is a finite collection of congruences a mod _{i}m, _{i}1 < m < _{1}m < ... < _{2}m _{k}whose union is the integers. I will discuss my solution of Erdös' minimum modulus problem for covering systems, which showed that any DCSC has 10. Then I will discuss joint work with Nielsen in which we prove that any DCSC has a modulus divisible by either ^{16}2 or 3.Date: Thursday, October 26, 2017Time: 3:30 pmLocation: Wean Hall 8220Note: Before the talk, at 3:10 pm, there will be tea and cookies in Wean Hall 6220. |