Contents/conteúdo

Mathematics Department Técnico Técnico

Summer Lectures in Geometry  RSS

29/06/2009, 14:00 — 15:35 — Room P3.10, Mathematics Building
, University of British Columbia

Moduli Spaces via differential graded Lie algebras

I will explain how many interesting moduli spaces in algebraic geometry can be constructed as the solution set of the Maurer-Cartan equation in a differential graded Lie algebra, modulo the action of the gauge group. The advantage of this approach is that it gives directly the higher derived structure on the moduli space in question. We will focus on the case of sheaves on projective varieties. We will examine the case of the Hilbert scheme of points on a Calabi-Yau threefold in particular detail.

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For detailed overviews of each course see https://camgsd.tecnico.ulisboa.pt/encontros/slg/.

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