Priyanka Grover
Shiv Nadar Institute of Eminence, Gautam Buddha Nagar
Priyanka Grover is an Associate Professor at the Shiv Nadar Institution of Eminence Delhi NCR. She received her PhD in 2014 from the Indian Statistical Institute Delhi. Her research interests are studying the approximation problems in Banach spaces, minimal matrices, totally positive matrices, Birkhoff-James orthogonality in Banach spaces, subdifferential of the norm function. She was elected as an Young Associate of the Indian Academy of Sciences in 2022. She has also received the DST INSPIRE Faculty Award 2015 and the SERB Early Career Research Award 2019.
Session 1D: Inaugural Lectures by Fellows/Associates
Mitali Mukerji
Subdifferential calculus, approximations and orthogonality
In the past few years, the study of Birkhoff‒James orthogonality has geared up in various structures and also has several applications in analysis. This concept, which is a generalization of usual inner product orthogonality to normed spaces, can be viewed as an approximation problem. This further reduces to studying the differentiability properties of the norm function. The tools of convex analysis, namely subdifferential calculus, give some interesting insights as well as yield stronger characterizations. This talk shall concentrate on explaining these concepts and give a brief overview of my work in this direction.