Title: The words that describe symmetric polynomials
Speaker: Amritanshu Prasad (IMSc, Chennai)
Date: 28 September 2018
Time: 3 – 5 pm (with a 15 minute break at 3:45)
Venue: LH-4, Mathematics Department
In the first part of this talk we introduce a classical family of
symmetric polynomials called Schur polynomials and discuss some of their
properties, and a problem that arises from their study, namely the
combinatorial interpretation of Littlewood–Richardson coefficients.
In the second part, we explain how the work of Robinson, Schensted, Knuth,
Lascoux, and Schuetzenberger on words in an ordered alphabet led to a
solution of this combinatorial problem. We will then mention some
relatively recent developments in this subject.