In the 19th century, Hermann Schwarz studied a differential expression which became known as the "Schwarzian Derivative". Early on, it was discovered that this expression vanishes exactly for Mobius Transformations. That discovery led to many interesting results in 20th century Complex Analysis, which connect the behaviour of a given holomorphic (or meromorphic) function to the geometry of a domain on which it is defined. In this talk we will review some of these results.
Thu, 14/06/2018 - 12:45 to 14:00