In 2014, Tyler made her television debut on the HBO series The Leftovers in a recurring role.She has served as a United Nations Children's Fund (UNICEF) Goodwill Ambassador for the United States in 2003, and as a spokesperson for Givenchy's line of perfume and cosmetics.From 1972 to 1979, Liv’s mother Bebe Buell lived with rock musician Todd Rundgren.

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On July 1, 1977, Buell gave birth, naming the daughter Liv Rundgren and claiming that Todd Rundgren was the biological father.

Rundgren and Buell ended their romantic relationship but Rundgren put his heart and soul into the "white lie".

They also have worked together professionally, once when she appeared in Aerosmith's music video for "Crazy" in 1993, and again when Aerosmith performed many of the songs in the film Armageddon (1998) in which Tyler starred. Todd [Rundgren] basically decided when I was born that I needed a father so he signed my birth certificate.

After her film debut Silent Fall (1994), she appeared in supporting roles in Empire Records (1995), Heavy (1996) and That Thing You Do! Tyler later achieved critical recognition in the leading role in Bernardo Bertolucci's Stealing Beauty (1996), playing a teenage girl visiting her deceased mother's artist friends in Italy.

She followed this by appearing in supporting roles including Inventing the Abbotts (1997) and Robert Altman's black comedy Cookie's Fortune (1999).

Tyler achieved international recognition as a result of her portrayal of Elf maiden Arwen Undómiel in the Lord of the Rings film trilogy (2001–2003).

She has appeared in an eclectic range of films, including the 2004 comedy Jersey Girl, the indie film Lonesome Jim (2005), the drama Reign Over Me (2007) and big-budget studio films such as Armageddon (1998), the home invasion horror film The Strangers (2008) and The Incredible Hulk (2008).

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(born Liv Rundgren; July 1, 1977) is an American actress and former child model.