The snow and ice of Konkordiaplatz is about 800-900 m deep.
The name might be a subtle joke; it is equivalent to the name of the Paris Place de la Concorde, the implication being that the Swiss idea of a city square is covered with snow and at high altitude.
Some glaciologists use "konkordiaplatz" to mean any place where two or more glaciers meet. The Baltoro Glacier in the Karakoram has one of these.