Logarithmic Geometry and Moduli


LGflyer

August 29 - September 1, 2011


Clay Mathematics Institute
One Bow Street
4th Floor
Cambridge, MA



The goal of this workshop was to gather experts on the manifestations of logarithmic geometry in moduli spaces. We put an emphasis on new developments in stable logarithmic maps and logarithmic Gromov-Witten theory, but also covered other topics such as applications of log geometry to compactification of moduli spaces, Hodge theory, and mirror symmetry.


Schedule

Tuesday, August 30

9:00-10:00 Dan Abramovich
Stable Log Maps; Overview
10:00-11:00 Coffee
11:00-12:00 Brett Parker
Exploded Manifolds and Log Geometry
12:00-2:00 Lunch + Discussion
2:00-3:00 Paul Hacking
Symplectic Cohomology of Log Calabi-Yau Varieties and Log Gromov-Witten Invariants
3:00-4:00 Coffee

Wednesday, August 31

9:00-10:00 Mark Gross
Stable Log Maps I
10:00-11:00 Coffee
11:00-12:00 Brett Parker
Gluing Exploding GW Invariants
12:00-2:00 Lunch + Discussion
2:00-3:00 Bernd Siebert
Stable Log Maps II
3:00-4:00 Coffee
4:00-5:00 William Gillam
Moduli of Log Points

Thursday, September 1

9:00-10:00 Qile Chen
Logarithmic Gluing Formulas
10:00-11:00 Coffee
11:00-12:00 Bumsig Kim
Stable Log Maps with Expansions
12:00-2:00 Lunch + Discussion
2:00-3:00 Jonathan Wise
Comparison of Log GW Invariants
3:00-4:00 Coffee

Organizers

  • Dan Abramovich
  • James Carlson
  • Mark Gross
  • Bernd Siebert

Lecturers

  • Dan Abramovich (Brown University)
  • Qile Chen (Columbia University)
  • William Gillam (Brown University)
  • Mark Gross (UC San Diego)
  • Paul Hacking (University of Massachusetts Amherst)
  • Bumsig Kim (Korea Institute for Advanced Study)
  • Brett Parker (MPI, ANU)
  • Bernd Siebert (Universität Hamburg)
  • Jonathan Wise (Stanford University)