Description:

The lectures will be an introdution to different aspects of singularities of algebraic varieties motivated by open problems such as the monodromy conjecture, the Nash problem, the Zariski multiplicity conjecture, the Arc-Floer conjecture.

Prerequisite: algebraic geometry (varieties, schemes, sheaves, cohomology)

Target Audience: Graduate students and advanced undergraduate students

Teaching Language: English

Speaker website: www.kuleuven.be/wis/algebra/budur

Registration: https://www.wjx.top/vm/YfWMVRu.aspx#

This will be a continuation of the mini-course from Summer 2024 and January 2025, but we will review the necessary material to make it independent of those lectures.