The broadcast will also feature a performance by Lloyd Webber and an interview with stage and screen star Jane Fonda.
"Late Show" airs Monday through Friday at 11:35 PM ET on CBS; check local listings.
Upcoming guests follow:
Nov. 11: Actress Viola Davis; physicist Brian Greene; musical performance by George Ezra
Nov. 12: Actress Jennifer Connelly; Judd Apatow; musical performance by The Internet
Nov. 16: Bill Maher; author Shepard Fairey; performance by The Acro-Cats
Nov. 17: Actress Julianne Moore; Burt Reynolds; musical performance by Public Image Ltd.; CeeLo Green sitting in with Jon Batiste and Stay Human
Nov. 18: Actress Sharon Stone; actor Justin Theroux; musical performance by Boots
Nov. 19: Jane Fonda; interview with and musical performance by Andrew Lloyd Webber
Nov. 20: Actor Michael Caine; Larry Wilmore; Vulfpeck sitting in with Jon Batiste and Stay Human