Concept
Deformation (mathematics)
Publications associées (32)
From kirigami to hydrogels: a tutorial on designing conformally transformable surfaces
Tian Chen, Yingying Ren, Yue Wang
Elastic surfaces that morph between multiple geometrical configurations are of significant engineering value, with applications ranging from the deployment of space-based PV arrays, the erection of temporary shelters, and the realization of flexible displa ...
2022Serre-Tate theory for Calabi-Yau varieties
Classical Serre-Tate theory describes deformations of ordinary abelian varieties. It implies that every such variety has a canonical lift to characteristic zero and equips the base of its universal deformation with a Frobenius lifting and canonical multipl ...
WALTER DE GRUYTER GMBH2021The cotangent complex and Thom spectra
The cotangent complex of a map of commutative rings is a central object in deformation theory. Since the 1990s, it has been generalized to the homotopical setting of E-infinity-ring spectra in various ways. In this work we first establish, in the context o ...
2021Arithmetically rigid schemes via deformation theory of equivariant vector bundles
We analyze the deformation theory of equivariant vector bundles. In particular, we provide an effective criterion for verifying whether all infinitesimal deformations preserve the equivariant structure. As an application, using rigidity of the Frobenius ho ...
SPRINGER HEIDELBERG2020Equipartition of Energy Defines the Size-Thickness Relationship in Liquid-Exfoliated Nanosheets
Liquid phase exfoliation is a commonly used method to produce 2D nanosheets from a range of layered crystals. However, such nanosheets display broad size and thickness distributions and correlations between area and thickness, issues that limit nanosheet a ...
AMER CHEMICAL SOC2019On the dynamic smoothing of mountains
After their formation, mountainous landscapes gradually evolve toward smoother geometries controlled by the interplay of erosion and sedimentation. The statistical mechanical properties of this process and the link between topography and geology have remai ...
2017Motivic invariants of moduli spaces of rank 2 Bradlow-Higgs triples
In the present thesis we study the geometry of the moduli spaces of Bradlow-Higgs triples on a smooth projective curve C. There is a family of stability conditions for triples that depends on a positive real parameter Ï. The moduli spaces of Ï-semistable ...
EPFL2016Maxwell’s equations as a special case of deformation of a solid lattice in Euler’s coordinates
It is shown that the set of equations known as “Maxwell’s equations” perfectly describe two very different systems: (1) the usual electromagnetic phenomena in vacuum or in the matter and (2) the deformation of isotropic solid lattices, containing topologic ...
2016Maxwell’s equations as a special case of deformation of a solid lattice in Euler’s coordinates
It is shown that the set of equations known as “Maxwell’s equations” perfectly describe two very different systems: (1) the usual electromagnetic phenomena in vacuum or in the matter and (2) the deformation of isotropic solid lattices, containing topologic ...
2016