Semiregularity as a consequence of Goodwillie's theorem

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• Jon Pridham (Cambridge)
• Monday 18 February 2013, 14:00-15:00
• CMS, MR11.

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Obstruction theories measure the singularities of a moduli space, giving rise to notions of virtual dimension, and virtual numbers of points.

Bloch defined a semiregularity map on the obstruction space of any LCI embedding in a smooth scheme. I will indicate how this map is related to the Goodwillie-Jones Chern character in K-theory. As a consequence, it annihilates all obstructions, giving smaller obstruction theories.

This talk is part of the Special DPMMS Colloquium series.

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