Analysis seminar

Date

Friday, April 5, 4 pm - 5 pm

Venue

Ramanujan Hall

Host

Chandan Biswas

speaker

 Prachi Mahajan

Affiliation

IIT Bombay

Title

 The Squeezing function & the Fridman invariant

Abstract

The squeezing function and its dual, the Fridman invariant, are biholomorphic invariants, both of which capture the coarse metric geometry of the given domain. I will describe some results on the squeezing function and Fridman invariant such as their boundary behavior, their utility in classifying the unit ball under various hypotheses, and estimates near the boundary of the given domain. In the second part, I will compare this pair of invariants by showing that they are both equally capable of determining the boundary geometry of a bounded domain if their boundary behavior is apriori known.