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Date and Time: April 30, 4pm - 5pm
Venue: Ramanujan Hall
Speaker: Mayukh Mukherjee
Affiliation: IITB
Title: Spectra of negatively curved Riemannian manifolds
Abstract: We discuss various issues surrounding the spectra of complete Riemannian manifolds (and sometimes orbifolds) of non-positive curvature. These include, among other topics, absolute and (absence of) singularly continuous spectra, small eigenvalues and eigenfunction decay. This describes previous (and ongoing) joint work with Ballmann and Polymerakis.
Name of speaker: Aditya Dwivedi, IIT Bombay
Host: Sanjoy Pusti
Date: 3rd May, 4-5 PM
Place: Ramanujan Hall
Title : Classification of irreducible representation of the unitary group U(n)
Abstract: In this talk we will classify all irreducible unitary representations of the unitary group, using the formulation of highest weight of a representation. We will also find out the dimension and characters of all of those representations.