Talk:Carlos Simpson

Edit requested on July 3, 2016

Hi, this is Carlos, could somebody please edit my wikipedia page? The phrase "In his PhD dissertation, Simpson introduced the Higgs bundle simultaneously with and independently of Nigel Hitchin.[2]" (line 5) is inaccurate.

In my thesis I studied the notion of system of Hodge bundles, something that was basically already known as a structure associated to the variations of Hodge structure of Griffiths. It was for example known to Deligne and Beilinson. In light of Hitchin's definition which had already appeared earlier in his paper in the Duke Math Journal, a system of Hodge bundles turns out to be a special case of a Higgs bundle (called "pair" by Hitchin). This special case is rather far from capturing many of the most important aspects.

A possible edit would be to say: "In his PhD dissertation, Simpson studied the notion of system of Hodge bundles, which can be seen as a special case of the higher dimensional generalization of Higgs bundles introduced earlier by Nigel Hitchin."

The information on the "Higgs bundle" page seems accurate. Thanks Losman84 (talk) 16:55, 3 July 2016 (UTC)

 Done by Bateserade. Altamel (talk) 22:30, 29 October 2016 (UTC)