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Geometry of the Real Projective Plane

by

Christina Tonnesen-Friedman
Union College

April 30, 2013
4:45 pm
Bailey Hall 207

Refreshments will be served in Bailey Hall 204 at 4:30 pm


Abstract:

Projective geometry traces back to the 4th century and was introduced in the 17th century by Desargues. It became very popular in the 19th century and was in particular studied by the Italian school of Algebraic Geometry" (Castelnuovo, Enriques, Cremona, Albanese, del Pezzo, Segre, Severi, Fano, Veronese, to name a few (and forget a few)). Too much informality in the treatment of the subject eventually lead to contradictions and a near collapse of the field, but during the period 1950{80 most of the theory was salvaged and made more rigorous by people such as Weil, Zariski, Kodaira, and Sha- farevich. Other key people in the 20th century were Dirac (who used it to study quantum mechanics), Serre, and Grothendieck. This talk will not really be concerned about the history or the “big picture” of projective geometry but rather cover a small corner of the vast world of algebraic geometry, by manifesting the fact that train tracks seem to meet at infinity...good thing we can't take the train to infinity.


For additional information, send e-mail to math@union.edu or call (518) 388-6246.
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