... are awarded, respectively, to the winners of the men's and women's team events, at the (now biennial) World Table Tennis Championships. There are seven trophies altogether. You're unlikely to get asked about anything other than the Swaythling and the Corbillon, but for the record, here are the details:
Men's Team: Swaythling Cup – donated in 1926 (the year of the inaugural championships) by Lady Baroness Swaythling. She was the mother of Ivor Montagu, the first President of the International Table Tennis Federation.
Women's Team: Corbillon Cup – donated in 1933 by Marcel Corbillon, President of the French Table Tennis Association. Won in 1939 by Germany, but the original trophy disappeared during the occupation of Berlin after World War II. The Corbillon Cup is now a replica made in 1949.
Men's Singles: St. Bride Vase – donated in 1929 by C.Corti Woodcock, a member of the exclusive St. Bride Table Tennis Club in London, after Fred Perry won the title in Budapest.
Women's Singles: Geist Prize – donated in 1931 by Dr. Gaspar Geist, President of the Hungarian Table Tennis Association.
Men's Doubles: Iran Cup – first presented at the 1947 World Championships by the Shah of Iran.
Women's Doubles: W. J. Pope Trophy – donated in 1948 by W.J. Pope, Honorary General Secretary of the ITTF.
Mixed Doubles: Heydusek Cup – donated in 1948 by Zdenek Heydusek, Secretary of the Czechoslovakia Association.
Table tennis has been dominated in recent years by the Chinese. China has won the Swaythling Cup at every World Championships since 2001 (that's the last eight), and the Corbillon Cup on every occasion since 1975, except for 1991 when it was won by Korea and 2010 when it was won by Singapore (that's 19 out of the last 21). It's a similar story in the individual tournaments, when often both finalists have been from China.
© Haydn Thompson 2017