The classical Veblen-Young theorem characterizes axiomatically projective spaces over fields. It is natural to ask for generalizations of this fundamental result to arbitrary algebraic varieties. In this colloquium I will survey work in this direction, and discuss recent progress characterizing algebraic varieties in terms of their Zariski topological spaces. The main new results are joint with János Kollár, Max Lieblich, and Will Sawin.

https://msu.zoom.us/j/98125312829
Meeting ID: 981 2531 2829
Passcode: 895643 Speaker(s): Martin Olsson (UC Berkeley)