Secant varieties of projective varieties have a long history of study in classical algebraic geometry. There has been substantial recent interest in them because of applications to computational complexity and signal processing. For applications, one is especially interested in equations for secant varieties of Segre and Veronese varieties, as they provide tests for the complexity of a tensor (resp. symmetric tensor). I will survey the state of the art and describe recent progress with G. Ottaviani using methods from representation theory and vector bundle techniques.
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After the seminar we will take the speaker to lunch.
Prof Landsberg will also be speaking in the Joint Colloquium at 2:30. For details please see the ScNews item here.
See the Algebra Seminar web page for information about other seminars in the series.
James East james.east@sydney.edu.au