Thursday, March 5, 2020

What is the Chern Medal - ALOHA Mind Math

What is the Chern Medal The Chern Medal The Chern Medal is one of four mathematics related awards presented to mathematic scholars.It is named in honor of the late Chinese mathematicianShiing-Shen Chern. The award is a joint effort of theInternational Mathematical Union(IMU) and theChern Medal Foundation(CMF) to be bestowed in the same fashion as the IMUs other three awards (theFields Medal, theNevanlinna Prize, and theGauss Prize), i.e. at the opening ceremony of theInternational Congress of Mathematicians(ICM), which is held every four years. The first such occasion was at the 2010 ICM inHyderabad, India.[1] Each recipient receives a medal decorated with Cherns likeness, a cash prize of $250,000 (USD), and the opportunity to direct $250,000 of charitable donations to one or more organizations for the purpose of supporting research, education, or outreach in mathematics.[1] Example of differential geometry credit: Wikipedia Cherns work extends over all the classic fields of differential geometry. Differential geometryis amathematicaldiscipline that uses the techniques ofdifferential calculusandintegral calculus, as well aslinear algebraandmultilinear algebra, to study problems ingeometry. The theory of plane and spacecurvesand ofsurfacesin the three-dimensionalEuclidean spaceformed the basis for development of differential geometry during the 18th century and the19th century. [3]It includes areas currently fashionable (theChernâ€"Simons theoryarising from a 1974 paper written jointly withJim Simons), perennial (theChernâ€"Weil theorylinkingcurvatureinvariants tocharacteristic classesfrom 1944, after theAllendoerferâ€"Weilpaper of 1943 on theGaussâ€"Bonnet theorem), the foundational (Chern classes), and some areas such asprojective differential geometryandwebsthat have a lower profile. He published results inintegral geometry,value distribution theory of holomorphic functions, andminimal submanifolds. Dansk: Den kinesisk-amerikanske matematiker Chern. (Photo credit: Wikipedia) He was a follower ofÉlie Cartan, working on the theory of equivalence in his time in China from 1937 to 1943, in relative isolation. In 1954 he published his own treatment of thepseudogroupproblem that is in effect the touchstone of Cartans geometric theory. He used themoving framemethod with success only matched by its inventor; he preferred incomplex manifoldtheory to stay with the geometry, rather than follow thepotential theory. Indeed, one of his books is entitled, Complex Manifolds without Potential Theory. In the last years of his life, he advocated the study ofFinsler geometry, writing several books and articles on the subject. [2] While all of this may seem very lofty, it is impressive to know that continued studies in the mathematics world could reap large rewards and recognition. Using a program like ALOHA may help your child see the benefits and uses of mathematics, causing an intrigue to lead to a prestigious award or a career in the mathematics field. https://en.wikipedia.org/wiki/Chern_Medal https://en.wikipedia.org/wiki/Shiing-Shen_Chern https://en.wikipedia.org/wiki/Differential_geometry_and_topology

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