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The Erlangen Programme and General Relativity

May 31
4:00 pm o'clock to 5:30 pm o'clock
SR 02.729

What Felix Klein began here in Erlangen in 1872 constitutes a major revolution in geometric reasoning. However, general relativity and related theories of gravity, despite their geometric character, have not traditionally made use of the Erlangen Programme's insights. After sketching the historical reason for this oversight, I will discuss what we gain in general relativity by taking Klein's Erlangen Programme seriously, including a geometric link between covariant and canonical approaches to gravity.