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## 27 lines on a smooth cubicAdd to your list(s) Download to your calendar using vCal - David Bai
- Friday 08 April 2022, 15:00-16:00
- Zoom.
If you have a question about this talk, please contact zl474. Enumerative geometry is a branch of algebraic geometry that exploits the rigidity of algebraically-defined geometrical objects to prove unexpected combinatorial facts about them. One of the first nontrivial results of this type is the following (Cayley & Salmon 1849): There are exactly 27 distinct lines on any smooth cubic surface over C (i.e. nonsingular surface defined by the zeros of a cubic polynomial). The talk will start with a discussion on the motivation and basic setting of classical algebraic geometry. We’ll then go through a partially elementary proof of Cayley & Salmon’s result, with a view towards the general methods for these kinds of problems. This talk is part of the The Archimedeans series. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
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