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Results tagged with deformation-theory
Search options questions only
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user 11084
for questions about deformation theory, including deformations of manifolds, schemes, Galois representations, and von Neumann algebras.
4
votes
1
answer
986
views
DG Lie algebras and derived deformation theory
As far as I understand it, in recent years there has been a lot of progress on generalizations of classical deformation theory in characteristic 0 using tools such as simplicial deformation functors o …
- 1,211
3
votes
2
answers
698
views
Infinitesimal rigidity vs. local rigidity
I am thinking about homomorphisms $\mathrm{Hom}(\Gamma,G)$, where $G$ is a Lie group and $\Gamma$ is a discrete, finitely generated subgroup.
This question talked about the difference of infinitesima …
- 1,211
2
votes
2
answers
395
views
Infinitesimal deformations of a discrete group inside Lie groups vs. algebraic groups
Let $G$ be an algebraic group with Lie algebra $\mathfrak g$ and let $\Gamma$ be any finitely generated (discrete) group. One can consider the representation variety $\mathfrak R=\mathrm{Hom}(\Gamma,G …
- 1,211
6
votes
1
answer
276
views
Does the degeneracy of the Frölicher spectral sequence vary in families?
I would like to know if there are any known examples of families of complex manifolds for which the Frölicher spectral sequence of one fibre degenerates on the $E_m$ page and the spectral sequence of …
- 1,211
4
votes
1
answer
379
views
Classical deformation of algebras
Given a complex manifold (or a smooth scheme) $X$, the classical (infinitesimal) deformation theory is parametrized by the first cohomology with coefficients in the tangent sheaf $H^1 (X, T_X)$.
Mode …
- 1,211
14
votes
1
answer
1k
views
Lie groups vs. algebraic groups and deformations
I am interested in deformations of (discrete subgroups of) Lie groups. But, as I understand it, deformation theory, as a theory, prefers to speak schemes.
At least the classical Lie groups can be tur …
- 1,211