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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.