Abstract: The cross-ratio degree problem is a combinatorial problem in algebraic geometry: it counts configurations of points in ${\mathbb{P}}^1$ such that specified subsets have fixed cross-ratio. No combinatorial answer is known, though we do know various constraints involving the theory of matchings of bipartite graphs. I’ll discuss what is known about this problem, some interesting special cases and equivalent characterizations, and the natural generalization to higher dimensions.

 

Link Information: Zoom Meeting https://us02web.zoom.us/j/89866628678?pwd=blxF8Ywza5M0VRxADKa6DCFuv8rgpS.1

Meeting ID: 898 6662 8678

Passcode: 504286

 

Organizer: Sasha Viktorova (NCTS)