Logarithmic Gromov-Witten invariants

Homological Mirror Symmetry (minicourse)
Topic:Logarithmic Gromov-Witten invariants
Speaker:Helge Ruddat
Affiliation:Johannes Gutenberg-Universit├Ąt Mainz; Member, School of Mathematics
Date:Friday, October 28
Time/Room:10:45am - 12:00pm/S-101

Following Katz-Nishinou, we will compute the number of lines on a quintic threefold in $\mathbb P^4$ by degenerating the quintic to the union of coordinate hyperplanes. This motivates degeneration formulae in Gromov-Witten theory that I will give another application of sketching the proof idea for a simple relationship between local and relative Gromov-Witten invariants. For the second half, I will explain the key notion of "basicness" alias "minimality" for log stable maps.