# Boris Shapiro: On topology of the space of real univariate polynomials with constrained real divisors

**Time: **
Thu 2019-10-24 10.15 - 12.00

**Location: **
hus 6, rum 306, SU

**Participating: **
Boris Shapiro, SU

### Abstract

In the late 80s, V. Arnold and V. Vassiliev initiated the study of the topology of the space of real univariate polynomials of a given degree d and with no real roots of multiplicity exceeding a given positive integer. Expanding their studies, we consider the spaces \(P^{c\Theta}\)of real monic univariate polynomials of degree \(d\) whose real divisors avoid d sequences of root multiplicities taken from a given poset \(\Theta\) of compositions, closed under certain natural combinatorial operations.