IISER Pune
INDIAN INSTITUTE OF SCIENCE EDUCATION AND RESEARCH (IISER) PUNE
where tomorrow’s science begins today
An Autonomous Institution, Ministry of Human Resource Development, Govt. of India
Links
Seminars and Colloquia

Mathematics

Quadrature domains in higher dimensions 
 
Wed, Jan 15, 2020,   02:30 PM to 03:30 PM at Madhava Hall, 3rd floor, Main building

Dr Pranav Haridas
Kerala School of Mathematics

Abstract: In complex analysis, quadrature domains are those domains for which the integral of every function in the Bergman class of functions can be written as a fixed quadrature identity. In this talk, we prove a density theorem for quadrature domains in  C^n. It is shown that quadrature domains are dense in the class of all product domains of the form where is a smoothly bounded pseudoconvex domain satisfying Bell's Condition R  and is a smoothly bounded domain. We shall also discuss a recent result disproving a conjecture by Steven Bel

homecolloquia_seminars