BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Asymptotic enumerative geometry Lehmann, Brian


The geometry of a Cartier divisor \(L\) on an algebraic variety \(X\) is encoded by its section ring \(R(X,L)\). Such rings can be quite complicated; for example, they need not be finitely generated. Nevertheless, useful information can be extracted by studying the asymptotic behavior of the graded pieces. I'll discuss the first steps toward an analogous theory for cycles of higher codimension. The key perspective is that enumerative constructions should play the role of sections for divisors. The talk will focus on the surprising relationships with convex analysis and the theory of convex bodies.

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