IISER Mohali, Knowledge city, Sector 81, SAS Nagar, Manauli PO 140306

Poincare meets Hardy

Prof. Debdip Ganguly (IIT Delhi)

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Location Online
Abstract:
The talk is devoted to sharp Poincare-Hardy inequalities on negatively curved manifolds. First I will introduce the concept of criticality theory of positive solutions for second order elliptic operators and deduce its application towards obtaining sharp functional inequalities in the second order case.
Second part of the talk is based on obtaining family of sharp higher order Poincare-Hardy-Rellich inequalities on the hyperbolic space using an abstract inequality involving Bessel pairs.

Meeting ID: 943 7403 6747
Passcode: 518065
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