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作者：Takayama, Shigeharu
作者单位：University of Tokyo
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作者：Kleiner, B; Leeb, B
作者单位：University of Michigan System; University of Michigan; University of Munich
摘要：The main result implies that a proper convex subset of an irreducible higher rank symmetric space cannot have Zariski dense stabilizer.
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作者：Geiss, Christof; Leclerc, Bernard; Schroeer, Jan
作者单位：University of Bonn; Universidad Nacional Autonoma de Mexico; Universite de Caen Normandie
摘要：Let Lambda be a preprojective algebra of simply laced Dynkin type Delta. We study maximal rigid Lambda-modules, their endomorphism algebras and a mutation operation on these modules. This leads to a representation-theoretic construction of the cluster algebra structure on the ring C[N] of polynomial functions on a maximal unipotent subgroup N of a complex Lie group of type Delta. As an application we obtain that all cluster monomials of C[N] belong to the dual semicanonical basis.
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作者：Kaledin, D; Lehn, M; Sorger, C
作者单位：Johannes Gutenberg University of Mainz; Nantes Universite; Institut Universitaire de France; Nantes Universite; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
摘要：Moduli spaces of semistable sheaves on a K3 or abelian surface with respect to a general ample divisor are shown to be locally factorial, with the exception of symmetric products of a K3 or abelian surface and the class of moduli spaces found by O'Grady. Consequently, since singular moduli space that do not belong to these exceptional cases have singularities in codimension >= 4 they do no admit projective symplectic resolutions.
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作者：Sznitman, AS; Zeitouni, O
作者单位：Swiss Federal Institutes of Technology Domain; ETH Zurich; University of Minnesota System; University of Minnesota Twin Cities; Technion Israel Institute of Technology; Technion Israel Institute of Technology
摘要：We investigate in this work the asymptotic behavior of isotropic diffusions in random environment that are small perturbations of Brownian motion. When the space dimension is three or more, we prove an invariance principle as well as transience. Our methods also apply to questions of homogenization in random media.
