Return to Colloquia & Seminar listing

### Do we have Hodge index theorem in tropical geometry?

**Algebra & Discrete Mathematics**

Speaker: | June Huh, University of Michigan |

Location: | 1130 BAINER |

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.