You have two problems here. The first is that the way you're using the class in the binding is assigning it to the Path so it is looking for a property named GlobalAssemblyInfo on whatever your DataContext is. You instead need to use a static source and also expose the value as a property instead of a const. This uses the form:
{Binding Source={x:Static ns:Class.StaticProperty}}
The other problem is that you have no namespace to create your xmlns from in XAML. You should consider if you really need the class to not be namespaced but if you do you should be able to use the weird construction of
xmlns:myGlobal="clr-namespace:;assembly="
where you would then use myGlobal in the place of ns in the first example.