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Vahid Shahverdi: Algebraic geometry with "random" flavor

Time: Wed 2022-12-07 14.15 - 15.00

Location: KTH, E52

Participating: Vahid Shahverdi (KTH)

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In this talk, I will introduce some basic tools and notions in algebraic geometry, measure theory, and representation theory. Then, I will talk about two concepts of degree and volume of an algebraic set to answer the following questions:

  1. How many zeros of a random polynomial are real?
  2. What is the topology of random hypersurfaces?

This is a pre-colloquium targeted towards master and PhD students as a preparation for Antonio Lerario's talk  at 15:15.