It isn't typically anything 'formal' at any game, home or away.
There is usually an area open to the public for fans to hang out near where the players exit either the locker rooms or the building after a game, and if you hang out there, the players do come out and mingle - they may have friends or family they are meeting, or just heading for the bus. So that is a possibility.
The other possibility is if you can get to the front row before, during, or after warm-ups especially near the place the players enter the floor from the locker rooms, it is a less formal situation and they might come over if you call their name going or coming from the court. Even if the ushers are being strict about the location your seats are in, if you have a kid in tow with an autograph book you can usually talk your way to the rail.
Just remember it is a curtesy they are providing and they have limited time and may be distracted - but they are generally pretty approachable and good ambassadors for the game. (Having a Uconn sign/Uconn paraphernalia can also make you stand out.