ACO The ACO Seminar (2019–2020)

February 13, 3:30pm, Wean 8220
Alperen Ergür, Carnegie Mellon University
How many zeros of a sparse random polynomial system are real?

Abstract:

We begin with a brief survey of decades long efforts to find a multivariate generalization of Descartes' rule of signs, and then present our probabilistic contribution to the quest. We assume no background in algebraic geometry; anyone with a taste for combinatorics and probability is welcome to enjoy a humble contribution and many open problems. This is joint work with Peter Burgisser and Josue Tonelli-Cueto, the published paper is titled "On the number of real zeros of random fewnomials".

Before the talk, at 3:10pm, there will be tea and cookies in Wean 6220.


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