## International Workshop

Hausdorff Geometry of Polynomials

*dedicated to the memory of Acad. Blagovest Sendov*

#### July 10 – 14, 2023,

Sofia, Bulgaria

#### in the frame of the International Conference “Mathematics Days in Sofia”

**T**

**he workshop** Hausdorff Geometry of Polynomials is devoted to the study of properties of polynomial functions such as their zeros and their growth, along with asymptotic properties of sequences of polynomials and their applications in many areas of mathematics, mathematical physics, and probability theory. The works presented honor the memory of Academician Blagovest Sendov who has made substantial contributions to the subject.

#### Organizing Committee

### Speakers

### Program

__Monday, July 10__

**14:00-14:50** Hristo Sendov, Stronger Rolle’s Theorem for Complex Polynomials

Coffee break

**15:30-16:20** Arno Kuijlaars, Matrix orthogonal polynomials and random tilings

**16:30-17:20** Dmitrii Karp, Polynomials arising in hypergeometric research: motivation, properties and conjectures

**18:30** Welcome reception (IMI)

__Tuesday, July 11__

**14:00-14:50** Andrei Martinez-Finkelshtein, On the flow of zeros of derivatives of polynomials

Coffee break

**15:30-16:20** Vladimir Kostov, Beyond Descartes’ rule of signs

**16:30-17:20** Nikos Stylianopoulos, Strong Comparison Law for Faber and Bergman

__Wednesday, July 12__

**14:00-14:50** Franck Wielonsky, Optimal prediction measures and polynomials of extremal growth

Coffee break

**15:30-16:20** Lyudmila Kryvonos, A constrained logarithmic energy problem on

the unit circle

**16:30-17:30** Open Problems

__Thursday, July 13__

**14:00-14:50** Boris Shapiro, Introducing isodynamic points for binary forms and their ratios

Coffee break

**15:30-16:20** Edward Saff, Threshold condensation to singular support for a Riesz equilibrium problem

**16:30-17:30** Open problems

**20:00** Official dinner (Hyatt)

__Friday, July 14__

**14:00-14:50** Ramon Orive, Electrostatic partners or… How can we find an electrostatic interpretation for the zeros of multiple orthogonal polynomials?

Coffee break

**15:30-16:20** Open Problems

**16:30-17:20** Open Problems

### Venue and General Information:

Arrival day: 9th of July, Departure day: 15th of July.