Do we have Hodge index theorem in tropical geometry?Algebra & Discrete Mathematics
|Speaker:||June Huh, University of Michigan|
|Start time:||Mon, Mar 12 2012, 4:10PM|
When trying to prove Rota's log-concavity conjecture for possibly non-coordinatizable combinatorial geometries, one faces the question: do we have Hodge index theorem in tropical geometry? In this talk, I will present a conjectural formulation of the combinatorial index theorem, together with several concrete examples. This talk does not assume prior knowledge of tropical geometry.