In finance AUM stands for-

Assets under management (AUM) is the total market value of assets that an investment company or financial institution manages on behalf of investors. Some financial institutions include bank deposits, mutual funds and cash in their calculations; others limit it to funds under discretionary management, where the investor assigns responsibility to the company. AUM describes how much of investor’s money an investment company controls. Investments are held in a mutual fund or hedge fund and are managed by a venture capital company, brokerage company or portfolio manager.