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Wednesday, 31 July 2013

The Concept Of Ricci Flow: How It Helped To Shape Modern Mathematics

It is defined as for a Riemannian matric, there is a unique solution to the "evolution" equation for a smooth metric on a closed manifold over a very short duration, analogous to the process of diffusion of heat. It was put into the frame by Richard Hamilton in 1981 on the basis of the geometrization conjecture of Thurston. It was later modified by the Russian scientist Grigori Perelman to introduce the concept of "Ricci Flow With Surgery". He used it to provide a solution of the Poincare conjecture, a problem that stood out unsolved for a century! Also, it was the tool used to prove the Differential sphere theorem.

 Now-a-days, there's an uprise of interest to study how multi-dimensional Riemannian manifolds evolve under it and how it forms singularities. The concept is indeed a product of the enormous development of mathematical analysis and it can be utilized by different forms like the exponential isothermal co-ordinate chart form or the cigar soliton solution. Obviously the mathematicians in the future will use and develop this powerful tool to gain a brighter insight of how the Universe actually is and works!

 

Sealdah Railway Station In The Evening

 
Before the departure of the 18:28 Barrackpore Local from Sealdah Railway Station. A train arrives in the scene, another one departs.

Thursday, 11 July 2013

Krzysztof Kamil Baczyński: The Polish Poet With Golden Ambitions

Baczyński was a Polish poet and Home Army soldier. He was born in Warsaw on 22nd January, 1921 in a bonafide family. He had a relatively peaceful childhood, he attended the Gimnazjum i Liceum im. Stefana Batorego and graduated in 1939. He debuted in 1938 in "Strzala" magazine with a poem. However, his future ambitions to master fine arts came to a halt at the outbreak of World War II. He had to join the war for the sake of his nation. During the early years, he cooperated with the left-wing underground press, most notably "Plomienie" and "Droga" magazines. On July 6, 1942, he married Barbara Drapczyńska, a colleague of a university which he was secretly attending to. As a member of Scouting Assault Groups (Harcerskie Grupy Szturmowe), Baczyński took part in many sabotage actions throughout the occupation. After the Warsaw Uprising broke out, he was killed in action on 4th August, 1944. He is buried in the Powazki Military Cemetery with his wife. After 50 years, he still remained very popular in the Polish society and culture. A translated version of his poems was published in 2005, titled: "White Magic And Other Poems". He is a disciple of love, his poems depict the brutality of the war, to which, he suggests only love can heal the wounds caused by it.
[Originally published on another blog by me]

A Photo Of My Little Niece In Mandarmoni

Here is the photo. She looks very cute and witty too!

She turns 3 on the 12th of July, 2013!