The current version supports only filtering in XSLT, so this would require a change to advancedTable.xsl. Copy the file and open it in a editor, search for  line 184:

change

<xsl:variable name="filteredData" select="udt:Data[contains(*[name()=$searchColumns][1],$search) or contains(*[name()=$searchColumns][2],$search) or contains(*[name()=$searchColumns][3],$search) or contains(*[name()=$searchColumns][4],$search) or contains(*[name()=$searchColumns][5],$search)or contains(*[name()=$searchColumns][6],$search)or contains(*[name()=$searchColumns][7],$search)or contains(*[name()=$searchColumns][8],$search)or contains(*[name()=$searchColumns][9],$search)or contains(*[name()=$searchColumns][10],$search)]" />

to

 <xsl:variable name="filteredData" select="udt:Data[udt:DateColumn_UDT_Ticks &gt; /udt:UserDefinedTable/udt:Context/udt:TodayInTicks and  (contains(*[name()=$searchColumns][1],$search) or contains(*[name()=$searchColumns][2],$search) or contains(*[name()=$searchColumns][3],$search) or contains(*[name()=$searchColumns][4],$search) or contains(*[name()=$searchColumns][5],$search)or contains(*[name()=$searchColumns][6],$search)or contains(*[name()=$searchColumns][7],$search)or contains(*[name()=$searchColumns][8],$search)or contains(*[name()=$searchColumns][9],$search)or contains(*[name()=$searchColumns][10],$search))]" />

where DateColumn is the name of your date column.

If you don't need XSL, you can set a filter direct in ManageUDT: [DateColumn_UDT_Ticks]>[Ticks:Now] 

Sure.For example:

Next week:  [Ticks:Now] + 7 * [Ticks:TicksPerDay]

Check documentation and online help links to hiden columns and available tokens.