SISSA/IGAP algebraic geometry seminars

[Alessandro Nobile]

Dear all,
    this is to announce the next SISSA/IGAP algebraic geometry seminar,
centered on Calabi-Yau manifolds.

In order to clarify some basic aspects of the topic, we will follow  the
second chapter of the book (Calabi-Yau Manifolds and Related  Geometries
by M. Gross, D. Huybrechts, D. Joyce), written by Mark  Gross.
Our goal is to understand the classic example of the mirror quintic. 

SPEAKER:    Veronica FANTINI - SISSA/IHES 

TITLE:      Complexified Kähler Moduli Space & Pseudo-holomorphic Curves
& Gromov-Witten Invariants and the (1,1) Yukawa Coupling 

WHEN:       Thursday, December 17 at 4.30pm (Rome) 

WHERE:      Link Zoom:   
https://sissa-it.zoom.us/j/87576175227?pwd=aDAybWMwSG9FeFRvV29KcEovdU5WUT09
            ID riunione:  875 7617 5227
            Passcode:     835982

ABSTRACT:   Mirror Symmetry has been a breakthrough both in physics and
in mathematics: in particular Candelas, De La Ossa, Green, Parkes show
that Mirror Symmetry predicts the number of rational curves on quintic
3-folds. In this talk we will introduce the tools needed to set up this
counting problem in the symplectic side. First we will introduce
pseudo-holomorphic curves and study some properties of their "moduli
space". This will lead us to the definition of Gromov--Witten invariants
counting rational curves in a Calabi--Yau 3-fold. Then we will collect
the invariants in a generating series (the so called (1,1) Yukawa
coupling), whose formal parameter is a point in the complexified Kähler
moduli. 

Everybody interested is warmly welcomed to attend. 

Best regards,
Andrea, Alessandro and Michele