I received this fig about 3-4 yrs ago as a cutting. The original tree came from Italy with my grandmother's friend and was planted in southern
Indiana.  I do not know the variety and would like to get it identified if possible.  The fruit does change to a purple color when ripe but I do not know how dark.  I have been fighting ants in previous yrs because they eat the figs before they are ripe.  They enter through a hole on the bottom of the fig.  
The unripe fruit is speckled. 

https://picasaweb.google.com/lh/photo/iGWxOt5i-Sh6I2T3PLb0PdMTjNZETYmyPJy0liipFm0?feat=directlink

https://picasaweb.google.com/lh/photo/38aM2Jzw6BrmgnUyfeFTHdMTjNZETYmyPJy0liipFm0?feat=directlink

Thanks

Most of those leaves resemble my hardy chicago .
The darker leaf at 12 o'clock was dead on when my plant was younger now an elder they have changed somewhat.

Leaves on my Hardy Chicago in this dated picture from 2008

Need pics of the ripe fruit (inside & outside) for an ID in most cases.

To combat ants, use your preferred search engine to find "tanglefoot". 

Welcome to the forum!