Polynomials, Representations, and Stability

Polynomials, Representations, and Stability

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Amitesh Datta, Princeton University
Fine Hall 110

I will introduce recent work of Church, Farb, and others on homological/representation stability, primarily through the elementary and explicit example of configurations of points in the plane. I will explain how one can use homological stability to say interesting things about polynomials over finite fields and I will derive analogies between number theory and topology, e.g., that the Riemann zeta function is related to an iterated loop space of projective space!