What motivates research in Non-Linear Partial Differential Equation? Swarnendu Sil, presently a Ph.D. student in Ecole polytechnique de federale de lausannee (one of the leading universities of the world located in Switzerland), delivered a talk (through video conference) on this topic this Sunday in the reunion of Cheenta.
The seminar began with an analysis of linear algebra (which deals with finite dimensional vector space). Sil explained why the mathematical machinery of linear algebra fails in the case of infinite dimensional vector space. Functional Analysis was developed as a discipline to address this issue and by 1970 linear partial differential equations could be understood in totality using it.
Sil mentioned that partial differential equations come up in various real life scenario. A large portion of problems are motivated by physics. The problem of non-linear partial differential equation (where partial derivatives are in multiplied form) is much more daunting than it's linear counterpart. Most mathematicians today agree that no general theory is possible to 'crack' non-linear partial differential equations.
The seminar concluded with questions from the audience.
Western Blot is one of the most important techniques for protein detection. Raikamal Paul, a master of science in microbiology from Vellore Institute of Technology, participated in extensive lab work at Indian Institute of Chemical Biology this year. She delivered a seminar on this technique on Sunday which took us to the world of practical research work in genetics.
The seminar was supplemented by presentation and board work.
The Character of Physical Law are a series of seven lectures by physicist Richard Feynman concerning the nature of the laws of physics. The talks were delivered by Feynman in 1964 at Cornell University, as part of the Messenger Lectures series. Their text was published by the BBC in 1965 in a book by the same name.
The lectures covered the following topics:
The law of gravitation, an example of physical law
The relation of mathematics and physics
The great conservation principles
Symmetry in physical law
The distinction of past and future
Probability and uncertainty - the quantum mechanical view of nature
Seeking new laws
At Cheenta Reunion, we watched the first lecture (as recorded by BBC). It discussed "The law of gravitation, an example of physical law".
Anubhav Chatterjee presented a Grand Quiz Show, which included Puzzle Round, Audio/Video Round, Straight Questions and Rapid Fire Round. Subhajit and Akash won the tournament with 187 points. The puzzles were given to the teams at the very beginning of the day (at 10 AM). The rest of the rounds happened in the evening.
There were some short 'talks'. Somrik spoke on Inner Workings of L'Hopital's rule. Subhajit discussed his experience in I.S.I. B.Math interview.
Last but not the least, there was good food. Beginning with cold drinks and potato chips, we ended up with Biriyani, Chicken Tikka Masala, Chicken Tanduri Masala, Lachha Paratha, Rumali Roti, Paneer, Mutton Kasa, Fried Rice. A local restaurant, Chhota Elaichi, served us lunch.
The Reunion concluded at 7 PM. We hope to see you at the reunion next summer (and coming winter).