is there mySQL function to convert a date from format dd.mm.yy to YYYY-MM-DD?
for example, 03.09.13 -> 2013-09-03.
Since your input is a string in the form 03.09.13, I'll assume (since today is September 3, 2013) that it's dd.mm.yy. You can convert it to a date using STR_TO_DATE:
STR_TO_DATE(myVal, '%d.%m.%y')
It will give you a standard MySQL date 2013-09-03
Then if you want it with short year, you can format it using DATE_FORMAT:
DATE_FORMAT(STR_TO_DATE(myVal, '%d.%m.%y'), '%y-%m-%d')
It will give you 13-09-03
Note that the year is %y (lowercase "y") is for two-digit years and the uppercase is for four-digit years.