Mathematics Seminar at ICTP - Reading Seminar on Curve Counting

[Math Group]

M A T H E M A T I C S   S E M I N A R S   2015


Thursday, 15 January, at 16:30 hrs.

Prof. Barbara Fantechi
(SISSA)

Title: Introduction to curve counting

Abstract:
There is a unique line through two points in the (complex projective) 
plane, and a unique conic through five points in general position (i.e., 
no three of them on a line). Classical algebraic geometry shows that 
given four general lines in 3-space, there are exactly two lines 
intersecting all of them. These are easy examples of curve counting 
problems. We give an outline of the problems one wants to study and 
highlight the need to choose a (suitable) compactification and of 
finding the dimension of the corresponding moduli space; we then show 
how in some cases there are components of different dimensions and 
introduce the notion of expected dimension.

Venue: Luigi Stasi Seminar Room, ICTP Leonardo da Vinci Building, first 
floor.