Raziskovalni matematični seminar - Arhiv

Let $ Q_{n}(\CC) $ be the space of all $ n\times n $ alternate matricesvover the complex field $ \CC $ and let $ d_{\chi}(A) $ denote the immanant of the matrix $ A \in Q_{n}(\CC) $ associated with the irreducible character $ \chi $ of the permutation group $ S_{n} $‎. ‎The main goal in this paper is to find all the irreducible characters
such that the induced immanant function $ d_{\chi} $ vanishes identically on $ Q_{n}(\CC) $‎.

This is a joint work with Bojan Kuzma.

Everyone is welcome and encouraged to attend.

A minimal surface in a Euclidean space $\mathbb R^n$ for $n\ge 3$ is an immersed surface which locally minimizes the area. Every oriented minimal surface is parameterized by a conformal harmonic immersion from an open Riemann surface, and vice versa. In this talk, I shall present a recent result on the existence of minimal surfaces of a given conformal type having a given finite group of symmetries induced by orthogonal transformations on $\mathbb R^n$.

Everyone is welcome and encouraged to attend.