Professor Joachim
Rosenthal
Department of Mathematics
University of Notre Dame
Notre Dame, Indiana
USA
and
Department of Communication Systems
Ecole Polytechnique Fédérale de Lausanne - EPFL
Lausanne
Switzerland
E-mail: Joachim.J.Rosenthal.1@nd.edu
In this talk we will explain those different links and we will report on several recent results obtained by geometric techniques. We will show how many of those problems have an interpretation in terms of Schubert calculus and that some of the more prominent problems require computations in the quantum ring of the Grassmannian.
The presented results represent joint work with Bill Helton, Meeyoung Kim, M.S. Ravi, Frank Sottile and Alex Wang.