### TPSC seminar

Date and time: 24 December 2012 (Monday), 4:00 pm

Venue: Seminar Hall

**Title:** Supersymmetry and shape invariance of Legendre equations

**Speaker:** Prof. Ashok Das, Department of Physics and Astronomy, University of Rochester, Rochester NY, USA

**Abstract:** This talk is aimed at graduate students and would explore the question of why the Legendre equations are soluble and what is the reason for nice properties that exist in the case of Legendre polynomials. It will be shown that underlying these equations, there is a fundamental symmetry known as shape invariance which can sometimes arise in supersymmetric systems. The talk would introduce the basic concepts on these symmetries and analyze systematically how this symmetry leads to various interesting properties. This would be a blackboard-chalk talk.

**About the speaker:** Ashok Das is an Indian-American theoretical physicist, an author, Fellow of the American Physical Society and award winning teacher of Physics. He is professor of physics at University of Rochester and Adjunct professor of Physics at Saha Institute of Nuclear Physics, Kolkata, India. He is known for his work in the areas of High-Energy Physics, Finite Temperature Field Theory, Nonlinear Integrable systems, String Theory. He is also known for his teaching and has received University and Department awards.