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Week of Events
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The Smith normal form of a polynomial of a random integral matrix (Gilyoung Cheong, UC Irvine)
The Smith normal form of a polynomial of a random integral matrix (Gilyoung Cheong, UC Irvine)
Given a prime p, let P(t) be a non-constant monic polynomial in t over the ring of p-adic integers. Let X(n) be an n x n uniformly random (0,1)-matrix over the same ring. We compute the asymptotic distribution of the cokernel of P(X(n)) as n goes to infinity. When P(t) is square-free modulo p, this […]
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Reading Topology from Open Books (Prof. Bahar Acu, Pitzer College)
Reading Topology from Open Books (Prof. Bahar Acu, Pitzer College)
Title: Reading Topology from Open Books Speaker: Bahar Acu, Department of Mathematics, Pitzer College Abstract: How can we study topological shapes that are outside the realm of our imagination? In this talk, we will explore potential answers to that question by diving deep into dimensionality and topology via open books. Topology is the study of properties of shapes that […]