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38th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA 2016)
mathematics education cultura
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2016/7/18
The theme of the conference is Sin Fronteras: Questioning Borders with(in) Mathematics Education. This theme is intended to encourage research presentations, discussion, and reflection on the variety ...
THE ACTION OF THE MAPPING CLASS GROUP ON REPRESENTATION VARIETIES
MAPPING CLASS GROUP REPRESENTATION VARIETIES
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2015/12/17
These notes are based on lectures given at Zhejiang University, July 14–20, 2008. My goal was to present some analytic techniques that can be used to study the action of the mapping class group on the...
COHOMOLOGY OF SL(2, C) CHARACTER VARIETIES OF SURFACE GROUPS AND THE ACTION OF THE TORELLI GROUP
SL(2, C) CHARACTER VARIETIES SURFACE GROUPS TORELLI GROUP
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2015/12/17
We determine the action of the Torelli group on the equivariant cohomology of the space of flat SL(2, C) connections on a closed Riemann surface. We show that the trivial part of the action contains t...
SURFACE GROUP REPRESENTATIONS TO SL(2, C) AND HIGGS BUNDLES WITH SMOOTH SPECTRAL DATA
SURFACE GROUP SL(2, C) HIGGS BUNDLES SPECTRAL DATA
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2015/12/17
We show that for every nonelementary representation of a surface group into SL(2, C) there is a Riemann surface structure such that the Higgs bundle associated to the representation lies outside the d...
Zd GROUP SHIFTS AND BERNOULLI FACTORS
Zd GROUP SHIFTS BERNOULLI FACTORS
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2015/9/29
In this paper, a group shift is an expansive action of Zd on a compact metrizable zero dimensional group by continuous automorphisms. All group shifts factor topologically onto equal-entropy Bernoulli...
ABELIAN NETWORKS III.THE CRITICAL GROUP
ABELIAN NETWORKS CRITICAL GROUP
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2015/8/14
The critical group of an abelian network is a finite abelian group that governs the behavior of the network on large inputs. It generalizes the sandpile group of a graph. We show that the critical gro...
On polar foliations and fundamental group
fundamental groups singular Riemannian foliations polar actions
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2011/1/18
In this work we investigate the relation between the fundamental group of a complete Riemannian manifold M and the quotient between the Weyl group and reflection group of a polar action on M, as well ...
Symmetries of Non-Linear Systems: Group Approach to their Quantization
Symmetries of Non-Linear Systems Group Approach Quantization
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2011/2/22
We report briefly on an approach to quantum theory entirely based on symmetry grounds which improves Geometric Quantization in some respects and provides an alternative to the canonical framework.
Preconditioned modified explicit decoupled group method in the solution of elliptic PDEs
Preconditioning method Modified Explicit Decoupled Group method
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2010/9/21
Many physical phenomena in static field problems particularly in the electromagnetic field and the incompressible potential flow field are described by elliptic partial differential equations (pdes). ...
Unitary representations of a loop ax+b group, Wiener measure and Gamma-function
Unitary representations loop ax+b group Wiener measure Gamma-function
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2011/2/24
We construct a family of irreducible unitary representations of the loop affine group of a line (ax+b group) with central extension on the Hilbert space of square integrable functions with respect to ...
A mathematical model of social group competition with application to the growth of religious non-affiliation
sociophysics networks religion perturbation theory
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2010/12/28
When groups compete for members, the resulting dynamics of human social activity may be un-
derstandable with simple mathematical models. Here, we apply techniques from dynamical systems
and perturb...
On finite quotients of the Grigorchuk Group
On finite quotients the Grigorchuk Group
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2010/11/22
We compute presentations for the finite quotients $\mathcal{G}_n=\mathcal{G}/St_\mathcal{G}(n)$ of the Grigorchuk group $\mathcal{G}$. We show that Schur Multipliers of these quotients are $H_2(\math...
Do absolutely irreducible group actions have odd dimensional fixed point spaces?
odd dimensional fixed point
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2010/11/23
In his volume [5] on "Symmetry Breaking for Compact Lie Groups" Mike Field quotes a private communication by Jorge Ize claiming that any bifurcation problem with absolutely irreducible group action wo...
Picard group of hypersurfaces in toric variet
Picard group hypersurfaces in toric variet
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2010/11/9
We show that the usual sufficient criterion for a generic hypersurface in a smooth projective manifold to have the same Picard number as the ambient variety can be generalized to hypersurfaces in com...
Extreme(ly) mean(ingful): Sequential formation of a quality group
Extreme(ly) mean(ingful quality group
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2010/11/19
The present paper studies the limiting behavior of the average score of a sequentially selected group of items or individuals, the underlying distribution of which, $F$, belongs to the Gumbel domain o...