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Moduli Spaces and Applications in Geometry,Topology,Analysis and Mathematical Physic
Moduli Spaces and Applications Geometry Topology Analysis Mathematical Physic
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2017/1/11
Given the fundamental importance of moduli spaces and their applications in many different topics, we are organizing a week long conference titled "Moduli spaces and applications in geometry, topology...
The 17th International Conference on Geometry and Graphics
Geometry and Graphics applied geometry and graphics
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2016/7/20
The 17th International Conference on Geometry and Graphics (ICGG 2016) took place in Beijing, China, on August 4-8, 2016.
Scalable Frames and Convex Geometry
Scalable frames tight frames preconditioning Farkas’s lemma
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2015/12/10
The recently introduced and characterized scalable frames can be considered as those frames which allow for perfect preconditioning in the sense that the frame vectors can be rescaled to yield a tight...
THE SYMPLECTIC GEOMETRY OF POLYGONS IN THE 3-SPHERE
SYMPLECTIC GEOMETRY POLYGONS 3-SPHERE
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2015/10/14
THE SYMPLECTIC GEOMETRY OF POLYGONS IN THE 3-SPHERE.
THE SYMPLECTIC GEOMETRY OF POLYGONS IN HYPERBOLIC 3-SPACE
SYMPLECTIC GEOMETRY POLYGONS HYPERBOLIC 3-SPACE
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2015/10/14
THE SYMPLECTIC GEOMETRY OF POLYGONS IN HYPERBOLIC 3-SPACE.
The Toric Geometry of Triangulated Polygons in Euclidean Space
Toric Geometry Triangulated Polygons Euclidean Space
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2015/10/14
Speyer and Sturmfels associated Grobner toric degenerations Gr¨2(Cn)T of Gr2(Cn) witheach trivalent tree T having n leaves. These degenerations induce toric degenerations Mr T of Mr, the space of n or...
The Symplectic Geometry of Polygons in Euclidean Space
Symplectic Geometry Polygons Euclidean Space
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2015/10/14
The Symplectic Geometry of Polygons in Euclidean Space.
CROOKED SURFACES AND ANTI-DE SITTER GEOMETRY
CROOKED SURFACES ANTI-DE SITTER GEOMETRY
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2015/9/29
Crooked planes were defined by Drumm to bound fundamental polyhedra in Minkowski space for Margulis spacetimes.
They were extended by Frances to closed polyhedral surfaces in the
conformal com...
The geometry of groups satisfying weak almost-convexity or weak geodesic-combability conditions
almost-convexity geodesic-combability
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2015/8/26
We examine the geometry of the word problem of two different types groups: those satisfying weak almost-convexity conditions and those admitting geodesic combings whose width satisfy minimally restric...
THE ROLE OF GEOMETRY IN COMPUTATIONAL DYNAMICS
COMPUTATIONAL DYNAMICS GEOMETRY
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2015/8/25
This paper is an informal discussion of how geometry and numerical analysis
are intertwined in the computational study of dynamical systems and their bifurcations.
We use the example of determining ...
Universal covering spaces and fundamental groups in algebraic geometry as schemes
algebraic geometry fundamental groups
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2015/7/14
In topology, the notions of the fundamental group
and the universal cover are closely intertwined. By importing
usual notions from topology into the algebraic and arithmetic setting, we construct a ...
THE ENUMERATIVE GEOMETRY OF RATIONAL AND ELLIPTIC CURVES IN PROJECTIVE SPACE
ELLIPTIC CURVES PROJECTIVE SPACE
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2015/7/14
We study the geometry of moduli spaces of genus 0 and 1 curves in Pn with
speci ed contact with a hyperplane H. We compute intersection numbers on these spaces that
correspond to the number of degre...
Towards the geometry of double Hurwitz numbers
double Hurwitz numbers geometry
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2015/7/14
Double Hurwitz numbers count branched covers of CP1 with fixed branch points,
with simple branching required over all but two points 0 and ∞, and the branching
over 0 and ∞ specified by ...
Towards the geometry of double Hurwitz numbers
double Hurwitz numbers geometry
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2015/7/14
Double Hurwitz numbers count branched covers of CP1 with fixed branch points,
with simple branching required over all but two points 0 and ∞, and the branching
over 0 and ∞ specified by ...
MURPHY’S LAW IN ALGEBRAIC GEOMETRY: BADLY-BEHAVED DEFORMATION SPACES
LAW IN ALGEBRAIC GEOMETRY DEFORMATION SPACES
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2015/7/14
We consider the question: “How bad can the deformation space of an object
be?” The answer seems to be: “Unless there is some a priori reason otherwise, the deformation space may be as bad as possible...