log
2017
January 17 (Wed.) 15:00 - 18:00
pre-presentation of master thesis
November 22 (Wed.) 15:00 - 18:00
Intermediate report for master theses
May 17 (Wed) 16:30 - 17:30
Prof. Falko Gauss (Universität Manheim)
The moduli space of marked singularities
Abstract:
The moduli space of marked singularities was introduced by Claus
Hertling in 2010 and parameterizes ƒÊ-homotopic isolated hypersurface
singularities equipped with certain markings. This moduli space can be
understood either as a global ƒÊ-constant stratum or as a Teichmüller
space of singularities. The additional marking allows one to formulate
the conjecture on the analytic behavior of singularities within a
distinguished ƒÊ-homotopy class in terms of a Torelli type problem in a
very efficient way. In my talk I will discuss the history of this
problem and introduce carefully the notion of a marked singularity.
Secondly, I will speak about recent results on this Torelli type
problem for bimodal series singularities. There the moduli space shows
some unexpected behaviour.
April 19 (Wed) 16:30 - 17:30
Prof. Frank Kutzschebauch (Universitaet Bern)
The Linearization Problem
Abstract: Given a reductive group $G=K^\C$ ($K$ maximal compact subgroup) acting algebraically/holomorphically on $\C^n$. Is there an algebraic / holomorphic change of variables which conjugates the action of $G$ into a linear action?
We review the history mainly of the holomorphic part of the problem. Then we discuss the counterexamples to the problem found by Derksen and the speaker and explain recent positive results of Larusson, Schwarz and the speaker.
April 12 (Wed) 16:30 - 17:30 @ 11-201 (different place from usual)
Prof. Frank Kutzschebauch (Universitaet Bern)
The density property
Abstract: The density property d.p. is a precise notion for having a big group of holomorphic automorphisms. It was introduced by Varolin in the 1990s as a successful attempt to generalize the famous Andersen-Lempert Theorem (saying that finite compositions of triangular and affine automorphisms form a dense subgroup in the holomorphic automorphism group of $\C^n$) to other manifolds. We explain the consequences of d.p., give examples of manifolds having d.p. and an overview of applications of the theory to natural geometric questions.