School of Mathematics/Computer Science

Institute for Mathematics

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SS 2018

10.04.2018 um 16:15 Uhr in 69/125:

Arun Kumar (Universität Osnabrück)

Quaternionic Grassmannians

We will construct the Grassmannian and the Quaternionic Grassmannian Varieties and see how are they are related to Algebraic and Hermitian K-theory respectively.

24.04.2018 um 16:15 Uhr in 69/125:

Holger Brenner (Universität Osnabrück)

Asymptotic properties of differential operators on a singularity

For a local algebra R over a field, we study the decomposition of the module of principal parts. A free summand of the nth module of principal parts is essentially the same as a differential operator E of order ≤ n with the property that the differential equation E(f) =1 has a solution. The asymptotic behavior of the seize of the free part gives a measure for the singularity represented by R. We compute this invariant for invariant rings, monoid rings, determinantal rings and compare it with the F-signature, which is an invariant in positive characteristic defined by looking at the asymptotic decomposition of the Frobenius. This is joint work with Jack Jeffries and Luis Nuñez Betancourt.

08.05.2018 um 16:15 Uhr in 69/125:

Lisa Seccia (University of Genova, Italy)