Abstracts for MPI-Oberseminar

The  distribution  character  is  a  complete  invariant  of  Harish-Chandra modules
(it determines the representation up to infinitesimal equivalence.)  It is very
difficult to compute.  There are other invariants, sometimes weaker, which
contain very important information about the representation. An example is
the associated cycle. In the first part of the talk I will introduce some such
invariants and explain relevant information encoded by them. The second part

In this talk I will survey the historical and recent development in the study of multiple harmonic sums, multiple zeta values and some other related values such as multiple zeta star values and their q-analogs, mainly from the number theory point of view. Starting with Euler's decomposition formula for double zeta values I will conclude with a sketch of the Two-one formula conjectured by Ohno and Zudilin when they were here at MPIM in 2007. Most part of the talk will be accessible to the general
audience.