Speaker- Supratik Saha (MSC 24, Interned at IISER TVM )
Title- Fourier series and convergence
Date- 2nd September 2025 (Tuesday) | 9:00 pm
Venue- MSB 410
Abstract- The Fourier series provides a powerful method to represent periodic functions as infinite sums of sines and cosines. Motivated by the need to analyze complex periodic phenomena in simpler harmonic components, Fourier series form the foundation of modern signal analysis and applied mathematics. A central question in their study is convergence: under suitable conditions, the Fourier series converges to the original function, while in more general settings, it converges in weaker senses (pointwise, uniform, or in mean). Understanding these convergence properties is crucial both for theoretical development and for practical applications in physics, engineering, and beyond.
Speaker- Manit Kishor (BSMS 22, Interned at NISER)
Title- Calculus of Variations
Date- 2nd September 2025 (Tuesday) | 9:30 pm
Venue- MSB 410
Abstract- Introduction and some typical problems of the Subject. The calculus of variations has been one of the major branches of analysis for more than two centuries. It is a tool of great power that can be applied to a wide variety of problems in pure mathematics. It can also be used to express the basic principles of mathematical physics in forms of the utmost simplicity and elegance. We indulge ourselves in Euler's Equation, also known as the Euler-Lagrange equation.