Department Mathematik 
Universität Hamburg
  UHH > Fakultäten > MIN-Fakultät > Mathematik > Moduli spaces Program   Hilfe - Suche  

Monday, August 12 Tuesday, August 13 Wednesday, August 14 Thursday, August 15 Friday, August 16
9:00-9:30: Registration

9:30--10:30: Flenner I Donagi II Grushevsky II Farkas I Dolgachev III

Coffee break/Reg. Coffee break Coffee break Coffee break Coffee break
11:00-12:00 Aspinwall I Flenner III Donagi III Flenner IV Farkas III
12:15-13:15 Grushevsky I Dolgachev I Aspinwall III Dolgachev II Grushevsky III

Lunch break Lunch break Lunch break Lunch break Lunch break
15:00-16:00: Donagi I Pandharipande I
Pandharipande II Pandharipande III

Coffee break Coffee break
Coffee break
16:30-17:30: Flenner II Aspinwall II
Farkas II

Boat trip


Conference dinner

  • The moduli space of complexified Kähler forms and mirror symmetry
    Paul Aspinwall (Duke University)
    The moduli space of complexified Kähler forms on a Calabi-Yau threefold, which is given as a hypersurface in a toric variety, is reviewed. A natural model of the compactified moduli space is given in terms of toric geometry and the "secondary fan". We will discuss some interpretations of this compactified moduli space and examine associated monodromy on categories in homological mirror symmetry. These lectures will hopefully be self-contained requiring no previous knowledge of toric geometry or derived categories.
  • Moduli of K3 surfaces (with emphasis on families of K3's with Picard number 19 and more)
    Igor Dolgachev (University of Michigan)
    In my lectures I will try to explain the main features of the theory of periods of lattice polarized K3 surfaces with emphasis on the periods of families of K3 surfaces with Picard number at least 19. The mirror duality relates these families with the families of K3 surfaces with a fixed polarization class. I will also explain an idea of toroidal compactification of the moduli space of K3 surfaces.
  • Moduli spaces of super Riemann surfaces and perturbative super string theory
    Ron Donagi (University of Pennsylvania)
    These talks will outline some of superstring perturbation theory, focusing attention on the purely mathematical subjects of supermanifolds, super Riemann surfaces, and super moduli spaces. In particular, we will discuss recent results on non splitness and non projectedness of supermoduli spaces.
  • Moduli of spin curves
    Gavril Farkas (Humboldt-Universität Berlin)
    I will discuss various aspects of the global geometry of the moduli spaces of even and odd spin curves. Topics will include, compactifications, Kodaira dimension and the construction of concrete birational models of these spaces in small genus.
  • Moduli of abelian varieties, Siegel modular forms, and string scattering amplitudes
    Samuel Grushevsky (Stony Brook University)
    We will discuss the mathematical framework for computing perturbatively the string scattering amplitudes. Lecture 1 will focus on the bosonic case and moduli of curves. Lecture 2 will be devoted to the details of the superstring framework for genus 1 and 2. In lecture 3 we will discuss further directions and questions on moduli of spin curves and super Riemann surfaces.
  • Relations in the cohomology of the moduli space of stable curves
    Rahul Pandharipande (ETH Zürich)
    The moduli space of curve carries tautological cohomology classes. I will discuss the study of relations amongst these classes starting with ideas of Mumford in 1980s. The subject advanced in the 1990s with conjectures of Faber and Faber-Zagier. I will explain the current state of affairs based on Pixton's conjectures related to cohomological field theories.
 Seitenanfang  Impressum geändert am 07.08.2013 von P. Sosna