If you want to give your credit card some exercise, head out to Shipra Mall in Indirapuram. It's also full of great shops and restaurants, so you can spend the afternoon having a wander.
If you're interested in local religious buildings head to Vaishali— home to Buddha Stupa I and II. You could also start your cultural experience by heading over to the art galleries in the area.
Imagine soaking up the atmosphere at Yamuna Sports Complex, a stadium in Vivek Vihar. If you think Yamuna Sports Complex is cool, you also might like Indira Gandhi Sports Complex and Shah Kotla Stadium, both located nearby.