Someone deleted data from my windows 7 system. I want to find out who.
The data is shared.
Are there any logs that could help me?
Short answer is NO. There is no logs for file access available by default in Windows 7.
If the users accessing the files are not members of Administrators group, you can set up file access auditing in order to create logs of who accessed a specific file or directory. You'll see all relevant file access logs in the Event Manager. Of course, you cannot do this retroactively, you need to set up this logging in advance.
Users must not have Administrator rights. If the user has Administrator permissions, he can trivially bypass this logging, or alter the logs to cover his tracks.