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A Geometric View on Tsen's Theorem

Carolina Araujo
Institution: 
IMPA
Location: 
Luigi Stasi Seminar Room, ICTP
Schedule: 
Thursday, May 24, 2018 - 14:30
Abstract: 

In 1936 Tsen proved that a 1-dimensional family of hypersurfaces of degree d in projective n-space always admits a section provided that d is less than or equal to n. This simple statement has been generalized in many ways, and still inspires developments in algebraic geometry. In this talk I will survey the history of Tsen’s Theorem, mostly from the geometric point of view, and describe current re- search toward new interpretations and generalizations. 

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