Ganapati resides in the Muladhara chakra
Gaṇesha: Lord of Obstacles, Lord of Beginnings. Ganesha's bija mantra gam ( Saanskrit: गं; gaṃ)
You have a permanent abode (in every being) at the place called " Muladhara".
The Ganapati Upanishad identifies Lord Ganesh with the Supreme Self. Lord Ganesh represents the Pranava (AUM) which is the symbol of the Supreme Self. Taitiriya Upanishad (1.8.1.) states: "AUM ITI BRAHMAN -AUM is Brahman (GOD). AUM is all this . Nothing can be done without uttering it. This explains the practice of invokong Lord Ganesh before beginning any rite or undertaking any project.
Lord Ganesh removes all obstacles on the path of the spiritual aspirant, and bestows upon him worldly as well as spiritual success. So he is called VIGNA VINAYAKA or VIGHNESHWAR.