Memoirs of a Geisha font here refers to the font used in the poster of Memoirs of a Geisha, which is a 2005 movie that tells the story of a young girl, who is sold into slavery by her family and then becomes a geisha.
The font used for the movie title in the poster is Trajan designed by Carol Twombly. The font is a commercial one and you can view more details about it here.
Download Trajan Font
The Trajan font identified above is not available for free, please follow the link above and purchase the font. Meanwhile, you can take a look at our collection of fonts for cars, pop music and apparel as well as round-ups of new & fresh fonts around the web.