We show that this space is smoothly equivalent to the local model for #92;mathrm#123;Res#125;#95;#123;K#47;#92;mathbb#123;Q#125;#95;p#125;#92;mathrm#123;GL#125;#95;n, cocharacter #92;#123;#92;mu#92;#125;, and parahoric level structure.
Source: wiktionary