Answer: The site of the Battle of the Red Cliffs, which served as the precursor to the era of the Three Kingdoms in China - described in the Chinese epic, "Romance of the Three Kingdoms". mekie and Dinesh got it (though I still don't get Dinky's "Stannus occulus" reference).
Answer: The connect is the TV show 30 Rock (highly recommended). The show creates a complicated and fictional corporate history connecting its studio NBC, and its parent company GE - hence the GE Building/30 Rockefeller Plaza reference, to such firms as the Sheinhardt Wig Company and Kabletown ("thats Cabletown with a K"). Vetti, Krithi, Dinesh, and Anonymous got it. Great job.
Answer: The connection is the Duckworth-Lewis (D/L) method used in Cricket to calculate a target score in a weather (or otherwise) interrupted game. The plot shows how this calculation is performed (top left) along with the two statisticians, its namesakes, who came up with it (bottom left). The right picture is of the Irish pop group who call themselves, rather geekily, the Duckworth-Lewis Method. Dinesh, Shravan, KAMANASISH,AEC, Vetti, Ramki, Rajesh K, and AJ got it. Extra points to Dinesh for spotting the cheap DL=550 trick.
Answer: The connect is Banana Republic. The clothing retailer of the same name originally started as a travel-related store with a travel/tropical-themed catalogs and magazines (top left). The term was first used to describe a dysfunctional, agriculture-dependent country by the American writer O. Henry in his book "Cabbages and Kings" (top right). The bottom cartoon is Herge's famous depiction of such a country, San Theodoros, in the Tintin comics. Iam, Dinesh, matti tapaninen, and mekie got it. Nice job.
This illustration (used in a famous scientific paper) alludes to what curious physical phenomenon?
Answer: The illustration is from the paper "Bertlmann's socks and the nature of reality" by John Stewart Bell. He alludes to the Einstein-Podolsky-Rosen paradox related to the phenomenon of quantum entanglement, eventually leading up to his famous theorem. Vetti, Jamie, tsp, and Dinesh got it. Well done.
Answer: The connection is "Sirius." From top-left clockwise, the Chicago Bulls entrance music is the song Sirius, which was by the group Alan Parsons Project (the two guys). Sirius, the "dog star" is allegedly the inspiration for the Harry Potter character, Sirius Black (his animagus form is a black dog), whose family coat-of-arms is shown (motto: "Tojours Pur" or "always pure"). The dog logo with the star is of the Sirius satellite radio.
Answer: Recently minted Nobel laureate Robert Edwards - who pioneered in vitro fertilization - and Louise Brown - the first "test-tube baby" - pictured alongside her own "naturally-conceived" baby. Divya Shankar, Matti Tapaninen, Shravan, mekie. anon, and Dinesh got it. Well done.