International Workshop Hausdorff Geometry of Polynomials

The 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.

The workshop is within the frame of the International Conference “Mathematics Days in Sofia”

Organizing Committee

• Edward Saff (Vanderbilt University, USA)
• Boris Shapiro (Stockholm University, Sweden)
• Andrei Martinez-Finkelshtein (Baylor University, USA)
• Peter Boyvalenkov (Institute of Mathematics and Informatics, Bulgaria)

PARTICIPANTS

• Andrei Martinez-Finkelshtein, Baylor University, USA
• Arno Kuijlaars, KU Leuven, Belgium
• Boris Shapiro, Stockholm University, Sweden
• Dmitrii Karp, Holon Institute of Technology, Israel
• Edward Saff, Vanderbilt University, USA
• Franck Wielonsky, Université Aix-Marseille, France
• Hristo Sendov, University of Western Ontario, Canada
• Liudmyla Kryvonos, Vanderbilt University, USA
• Nikos Stylianopoulos, University of Cyprus, Cyprus
• Peter Boyvalenkov, Institute of Mathematics and Informatics, Bulgaria
• Ramon Orive, Universidad de la Laguna, Spain
• Vladimir Kostov, Université Côte dAzur, France

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, TBA

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

Discover more on the website of the workshop: https://mds.math.bas.bg/w-hgp/