# Vahid Shahverdi: Algebraic geometry with "random" flavor

**Time: **
Wed 2022-12-07 14.15 - 15.00

**Location: **
KTH, E52

**Participating: **
Vahid Shahverdi (KTH)

**Abstract:**

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:

- How many zeros of a random polynomial are real?
- 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.