I have followed your c# example in a UWP app. My source code is below. When I run the app, I don't see the map - just a grey box on the page. I noticed an obscure error in the output Exception thrown: 'System.IO.FileNotFoundException' in System.Private.CoreLib.ni.dll which might suggest it cant find the shp file even though it's where it needs to be.
Any assistance appreciated.
best
this.InitializeComponent();
SfMap syncMap = new SfMap();
syncMap.EnablePan = true;
ShapeFileLayer layer = new ShapeFileLayer();
layer.Uri= "ms-appx:///Mapping/world.shp";
layer.ShapeSettings.ShapeFill= new SolidColorBrush(Windows.UI.Colors.Blue);
syncMap.Layers.Add(layer);
this.MainGrid.Children.Add(syncMap);