Thursday, May 27, 2010
Alain Connes' YouTube Channel.
Alain Connes, Caterina Consani and Matilde Marcolli. Fun with F_1, Journal of Number Theory 129 (2009), no. 6, 1532-1561.
Alain Connes and Caterina Consani. On the notion of geometry over $\F_1$ (arXiv:0809.2926).
Journal of Number Theory on YouTube.
Wednesday, May 5, 2010
Élie Cartan had significant contributions in areas such as Lie theory, differential geometry, exterior differential forms, the theory of spinors (introduced by him in 1913), etc. Cartan died on May 6, 1951.
Dieudonné places Cartan right after Poincaré and Hilbert when it comes to the lasting influence in shaping modern mathematics. He was a speaker at the 1924, 1932 and 1936 International Mathematical Congresses. He lectured in Romania in 1931. The letters that he exchanged with Albert Einstein, Gheorghe Ţiţeica, Alexandru Pantazi and Gheorghe Vrânceanu, have been published (as mentioned in M. A. Akivis and B Rosenfeld - Élie Cartan (1869-1951), Providence R.I., 1993).