The UK Supreme Court will be asked if the Scottish government can hold a vote without UK consent.
The force has been hit by a number of scandals in recent years including the murder of Sarah Everard.
Ghislaine Maxwell was convicted of helping late US financier Jeffrey Epstein sexually abuse young girls.
Zara Aleena, who was killed in east London on Sunday, "lit up the whole room".
The 2021 census shows one of the biggest population rises ever recorded.