This 35mm presentation is part of the Classic Film Season at the Prince Charles Cinema. You can find all the details here.
Chicago Reader review:
James M. Cain's pulp classic (1944), as adapted by Raymond Chandler and directed by Billy Wilder. Barbara Stanwyck is perfectly cast as a Los Angeles dragon lady burdened with too much time, too much money, and a dull husband. Fred MacMurray (less effectively) is the fly-by-night insurance salesman who hopes to relieve her of all three. Wilder trades Cain's sun-rot imagery for conventional film noir stylings, but the atmosphere of sexual entrapment survives.
Here (and above) is the trailer.