The Genus of Space Curves

Ben Schmidt (The University of Texas at Austin)

Tuesday 27th June, 2017 16:00-17:00 Maths 331B


A 19th century problem in algebraic geometry is to understand the relation between the genus and the degree of a curve in complex projective space. This is easy in the case of the projective plane, but becomes quite involved already in the case of three dimensional projective space. In this talk I will give an introduction to the topic, introduce stability conditions in the derived category, and explain how the two can be related. This is based on joint work in progress with Emanuele Macri.

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