Travelling / playing across time zones?

11/11/15 12:01
Hi.
In a couple of days I will travel from UK to New York. My current championship games are at 09.11. How will this effect it? Will my games go back 5 hours and now be played at 04.11 local time?
Likewise coming home it works the other way?
11/11/15 19:58
Should still stay the same as it would effect the other team i currently have my games at 3 am
11/11/15 21:31
Games will be played at the same time, which will be 4am for you.