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This talk mainly concerns the projective, Moishezon and Kahler loci of a family. We first introduce four conjectures on this topic and then the works of the deformation limit of projective manifolds a...
The R-motivic stable homotopy category has a close connection to the C2-equivariant category via the C2-equivariant Betti realization map. For the bigraded homotopy groups, the C2-equivariant spectra...
Stokes phenomenon states that the asymptotic behavior of functions can differ in different regions of the complex plane, and that these differences can be described in a quantitative way. These quanti...
On the deformation theory of represen tations of fundamen talgroups of compact hyprbolic 3-manifolds.
A Margulis spacetime is a complete affine 3-manifold M with nonsolvable fundamental group. Associated to every Margulis spacetime is a noncompact complete hyperbolic surface S. We show that eve...
The classical Birkhoff conjecture says that the only integrable convexdomains are circles and ellipses. In the paper we show that a version of this conjecture is true for small perturbations of ellips...
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...
RAMIFIED DEFORMATION PROBLEMS     PROBLEMS  3-adically       2015/7/6
This twist has connected components which are smooth curves of genus 0 and there is a Q-rational point xEi corresponding to Ei=Q and the choice of 3-torsion basis implicit in Ei;3 . The component ...
This paper is dedicated to the memory of Moshe Flato, and will appear in Lett. Math. Phys. 48 (1).It became clear during last 5-6 years that the algebraic world of associative algebras (abelian catego...
In this paper, we use Pacard-Xu's methods to discuss the complex deformation of constant scalar curvature metrics in the case of fixed and varying complex structures. Moreover, we also discuss the com...
We study the problem of lifting to local rings certain mod 2 representations V of finite groups G which belong to 2-modular tame blocks B of G having at least two isomorphism classes of simple modules...
Abstract: This paper studies the local geometry of compactified Jacobians constructed by Caporaso, Oda-Seshadri, Pandharipande, and Simpson. The main result is a presentation of the completed local ri...
Abstract: A Margulis spacetime is a complete affine 3-manifold M with nonsolvable fundamental group. Associated to every Margulis spacetime is a noncompact complete hyperbolic surface S. We show that ...
Abstract: We define a deformation of algebras endowed with coaction of the reduced group algebras. The deformation parameter is given by a 2-cocycle over the group. We prove K-theory isomorphisms for ...

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