ICTP Mathematics Seminar - Tuesday 18 December 2012, at 15:00

[Mabilo]

M A T H E M A T I C S   S E M I N A R S   2012

Tuesday, 18 December, at 15.00 hrs.

Dr. Florian Block
(University of California at Berkeley, USA)

Title: Refined curve counting with tropical geometry

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.

VENUE: Luigi Stasi Seminar Room, first floor , ICTP Leonardo Building