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Antonio Lerario: What is ... Random Algebraic Geometry?

Time: Wed 2022-12-07 15.15 - 17.00

Location: KTH, K1

Lecturer: Antonio Lerario (SISSA, Guest professor at KTH)

Location

K1, KTH.

Schedule

14:15–15:00 Pre-colloquium by Vahid Shahverdi in E52.

15:15–16:15 Colloquium lecture by Alessio Figalli.
16:15–17:00 SMC social get together with refreshments.

Abstract

In this talk I will discuss a modern point of view on algebraic geometry, introducing ideas from probability for approaching classical geometric problems.

The main feature of this approach is the shift from the notion of "generic", from classical algebraic geometry, to the notion of "random". This change of perspective brings new characters into the picture (convex geometry, measure theory, representation theory, asymptotic analysis...) and opens for new interesting questions over non algebraically closed fields. At the same time, it sheds new light on the world of complex algebraic geometry.