# What determines a variety? – János Kollár (Princeton University)

#### Venue

A scheme X is a topological space — which we denote by $|X|$ — and a sheaf of rings on the open subsets of $|X|$. We study the following natural but seldom considered questions. How to read off properties of $X$ from $|X|$? Does $|X|$ alone determine $X$? Joint work with Max Lieblich, Martin Olsson, and Will Sawin.