### Mathematics Colloquium

# Vladlen Timorin

### (Higher School of Economics, Moscow)

## "Laminational Models of Spaces of Poolynomials"

** Date: ** |
Fri, November 4, 2016 |

** Time: ** |
14:15 |

** Place: ** |
Lecture Hall, Research II |

**Abstract:**
We will discuss combinatorial structure of spaces of complex
polynomials. The latter are viewed as dynamical systems. A classical
example is the Mandelbrot set which parameterizes complex quadratic
polynomials with "interesting dynamics" up to affine conjugacy. A
combinatorial model for the Mandelbrot set, which is also a conjectural
topological model, is known. We address the issue of finding
combinatorial models for spaces of higher degree polynomials. As in the
quadratic case, it is useful first to model individual polynomials
(combinatorial models for polynomials are provided by Thurston's
laminations), and then use appropriate spaces of laminations to model
the corresponding spaces of polynomials. This is a joint work with
Alexander Blokh, Lex Oversteegen and Ross Ptacek.

*The colloquium is preceded by tea from 13:45 in the Resnikoff Mathematics Common Room, Research I, 127.*