Here are some one liners...
The Genius of Vilnius is Born -- The modern Jewish educational system will be established by this man. He will include math and science. That will create a backlash that is still going on today.
The Mississippi and South Sea Bubbles Burst -- France and England engage in separate get rich quick schemes that are virtually the same thing. It all comes apart when investors realize what the Tulip buyers realized after Tulip Mania.
Astronomy is Going to Hell -- Maximilian Hell is an astronomer with a heck of a name.
The Genius of Vilnius is BornOne of the greatest Jewish scholars of the modern era (if not THE greatest scholar) is born this year in the city of Vilnius, the capital city of Lithuania. His name is Elijah, son of Solomon, but most people use his title, "The Genius of Vilnius". By 20 years old he will be recognized as a genius and many will seek his judgement on difficult points of law. The people of Vilnius will pay for his support while he sets in place Jewish education as it is known in the modern day. It includes what modern people would call "secular studies" such as math and science along with regular religious subjects. Some Jews will not like this change in the curriculum. They will call themselves "The Pious Ones." The Genius of Vilnius will oppose the Pious Ones and thus define his own movement as "The Opponents." The battle will continue into the modern day. Oh yeah.       
The Mississippi and South Sea Bubbles BurstRemember Tulip Mania? A scheme to reduce government debt has blown up in the faces of France and England. France has been swamped in debt so the Comptroller General of Finances, John Law, created the Royal Bank of France (like the Fed) and placed government revenues in the bank. He uses paper money issued by the bank to buy the Mississippi Company, and then grants it a trade monopoly in Louisiana as well as mineral rights. He authorizes the sale of stock in the company, and doubles the population of Louisiana by freeing French prisoners, chaining them to prostitutes and shipping them to Louisiana to build a New World. (Everyone is going to Louisiana!) People go wild buying shares in the Company until they begin to lose confidence in their investments. There is a run on the bank. There is not enough coinage to cover their accounts so John Law makes a run for Brussels. He will live out his final days in Italy as a professional gambler which is almost the same thing as being a fractional banker. 
Astronomy is Going to HellMaximilian Hell is born this year in the Kingdom of Hungary. As well as becoming a priest he will also become director of the Observatory in Vienna and publish several papers on astronomy. He will believe in the healing power of magnets. 
This Year in Wikipedia
Year 1720, Wikipedia.