supported by:

Complex Algebraic Geometry –

A workshop on the occasion of Herbert Kurke's 75th birthday.

Schedule

Titles and abstracts

Daniel Huybrechts, Cubic fourfolds and K3 surfaces

There exists a mysterious link between smooth cubic hypersurfaces of dimension four and K3 surfaces. This can be observed on the level of Hodge theory (Hassett) and on the level of derived categories (Kuznetsov). I will report on results that allow one to study the K3 category associated to a very general cubic fourfold.

Georg Hein, Stability of tautological sheaves

Tautological sheaves on moduli spaces form the basic class of sheaves on these spaces. We present a new approach to study the semistability of those objects. In some situations this reduces to classical restriction theorems. A topic to which I was introduced by Herbert Kurke.

Werner Müller, Asymptotics of automorphic spectra and the trace formula

This talk is concerned with the study of the asymptotic distribution of infinitesimal characters of cuspidal automorphic representations of a reductive group over a number field. This includes the Weyl law and the limit multiplicity problem. The basic tool is the Arthur trace formula. The method relies on the study of automorphic L-functions occurring in the constant terms of Eisenstein series, which gives rise to an interesting interplay between spectral theory and analytic number theory.

Klaus Hulek, Cubic threefolds - Intermediate Jacobians and degenerations

Clemens and Griffiths have proved that smooth cubic threefolds are unirational but not rational. The main tool of their proof is the intermediate Jacobian. In this talk I will discuss (stable) degenerations of smooth cubic threefolds and their associated intermediate Jacobians. This is part of an ongoing project with S. Casalaina-Martin, S. Grushewsky and R. Laza.

Erwin Schrödinger-Zentrum Adlershof
Room 0'311
Humboldt-Universität zu Berlin
Rudower Chausseee 26
12489 Berlin