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Algebraic Geometry Seminar - Brooke Ullery

Brooke Ullery
November 27, 2018
3:00PM - 4:00PM
Math Tower 154

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Add to Calendar 2018-11-27 15:00:00 2018-11-27 16:00:00 Algebraic Geometry Seminar - Brooke Ullery Title: Measures of irrationality for algebraic varieties Speaker: Brooke Ullery (Harvard University) Abstract: The gonality of a smooth projective curve is the smallest degree of a map from the curve to the projective line. There are a few different definitions that attempt to generalize the notion of gonality to higher dimensional varieties. The intuition is that the higher these numbers, the further the variety is from being rational. We will discuss these measures of irrationality and various methods of calculating and bounding them. We’ll mainly focus on the examples of hypersurfaces and, more generally, complete intersections in projective space. Seminar URL: https://research.math.osu.edu/agseminar/ Math Tower 154 Department of Mathematics math@osu.edu America/New_York public

Title: Measures of irrationality for algebraic varieties

SpeakerBrooke Ullery (Harvard University)

Abstract: The gonality of a smooth projective curve is the smallest degree of a map from the curve to the projective line. There are a few different definitions that attempt to generalize the notion of gonality to higher dimensional varieties. The intuition is that the higher these numbers, the further the variety is from being rational. We will discuss these measures of irrationality and various methods of calculating and bounding them. We’ll mainly focus on the examples of hypersurfaces and, more generally, complete intersections in projective space.

Seminar URLhttps://research.math.osu.edu/agseminar/

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