UNION OF BULGARIAN MATHEMATICIANS
INSTITUTE OF MATHEMATICS AND INFORMATICS, BULGARIAN ACADEMY OF SCIENCES
NATIONAL MATHEMATICS COLLOQUIUM
The next meeting of the National Mathematics Colloquium will be held on September 4, 2019 (Wednesday) at 16:15 in the Conference Room of the Institute of Mathematics and Informatics, Acad. G. Bonchev Street, Block 8
A talk on:
The Squeezing Function
will be delivered by Prof. John Erik Fornæss, Norwegian Academy of Science and Letters, Norwegian University of Science and Technology, Trondheim.
Everybody is invited.
Head of the Colloquium: Acad. P. Popivanov
Abstract. In complex analysis the most important domain is the unit disc. In fact all domains (at least simply connected and bounded) are biholomorphic, i.e. analytically equivalent, to the disc.
In higher dimension, the natural analogue is the unit ball. But in higher dimension, the general domain is not biholomorphic to the ball. A basic question is then how well a general domain can be approximated by the ball. If we have a ball ?? of radius ?<1 contained in the unit ball ?1, then a domain ? with ?? contained in ? contained in ?1 is said to be squeezed between the two balls. The larger we can choose ? the closer the domain ? is to the ball.