|10:30-11:30||Daniel Huybrechts (Universität Bonn)|
|Cubic fourfolds and K3 surfaces|
|12:00-13:00||Georg Hein (Universität Duisburg-Essen)|
|Stability of tautological sheaves|
|14:30-15:30||Werner Müller (Universität Bonn)|
|Asymptotics of automorphic spectra and the trace formula|
|16:00-17:00||Klaus Hulek (Leibniz Universität Hannover)|
|Cubic threefolds - Intermediate Jacobians and degenerations|
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.
The workshop takes place at
Erwin Schrödinger-Zentrum Adlershof
Humboldt-Universität zu Berlin
Rudower Chausseee 26
If you want to participate at the workshop, please contact Kristina Schulze,
before Friday 14th November 2014. Also mention if you will participate at the dinner or not.
Everyone is welcome.
The conference dinner will be held at the restaurant Neumond on Friday 21st November 2014 at 07:00 pm.