Starts 18 Dec 2012 15:00
Ends 18 Dec 2012 20:00
Central European Time
ICTP
Leonardo da Vinci Building Luigi Stasi Seminar Room
Strada Costiera, 11 I - 34151 Trieste (Italy)
Abstract: Recently, Goettsche and Shende defined a notion of "refined Severi degree", replacing the degree of the Severi variety by a univariate polynomial. We give a (conjectural) interpretation of these invariants for plane curves in terms of tropical geometry: Goettsche and Shende's invariant is computed by enumeration of tropical curves, weighted by a new (Laurent) polynomial multiplicity. This weight specializes to Mikhalkin's 'complex' and 'real' multiplicity of tropical curves. This is joint work with Lothar Goettsche.