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.
The ACO Seminar (2019–2020)