Schedule


Monday, August 12 
Tuesday, August 13 
Wednesday, August 14 
Thursday, August 15 
Friday, August 16 
9:009:30: 
Registration 




9:3010:30: 
Flenner I 
Donagi II 
Grushevsky II 
Farkas I 
Dolgachev III 

Coffee break/Reg. 
Coffee break 
Coffee break
 Coffee break
 Coffee break

11:0012:00 
Aspinwall I 
Flenner III 
Donagi III 
Flenner IV 
Farkas III 
12:1513:15 
Grushevsky I 
Dolgachev I 
Aspinwall III 
Dolgachev II 
Grushevsky III 

Lunch break 
Lunch break 
Lunch break 
Lunch break 
Lunch break 
15:0016:00: 
Donagi I 
Pandharipande I 

Pandharipande II 
Pandharipande III 

Coffee break
 Coffee break


Coffee break


16:3017:30: 
Flenner II 
Aspinwall II 

Farkas II 

16:3018:45: 


Boat trip 


19:00??: 


Conference dinner 


Abstracts:
 The moduli space of complexified Kähler forms and mirror symmetry
Paul Aspinwall (Duke University)
Abstract: The moduli space of complexified Kähler forms on a CalabiYau 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 selfcontained 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)
Abstract: 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)
Abstract: 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 (HumboldtUniversität Berlin)
Abstract: 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)
Abstract: 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)
Abstract: 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 FaberZagier. I will explain the current state of affairs based on Pixton's conjectures related to cohomological field theories.
