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作者：Aizenbud, Avraham; Avni, Nir; Rubio, Roberto
作者单位：Weizmann Institute of Science; Northwestern University; University of Barcelona; Autonomous University of Barcelona
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作者：Oh, Tadahiro; Sosoe, Philippe; Tolomeo, Leonardo
作者单位：University of Edinburgh; University of Edinburgh; Heriot Watt University; Cornell University; University of Bonn
摘要：We study an optimal mass threshold for normalizability of the Gibbs measures associated with the focusing mass-critical nonlinear Schrodinger equation on the one-dimensional torus. In an influential paper, Lebowitz et al. (J Stat Phys 50(3-4):657-687, 1988) proposed a critical mass threshold given by the mass of the ground state on the real line. We provide a proof for the optimality of this critical mass threshold. The proof also applies to the two-dimensional radial problem posed on the unit...
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作者：Berdnikov, Aleksandr; Manin, Fedor
作者单位：Institute for Advanced Study - USA; University of California System; University of California Santa Barbara
摘要：Scalable spaces are simply connected compact manifolds or finite complexes whose real cohomology algebra embeds in their algebra of (flat) differential forms. This is a rational homotopy invariant property and all scalable spaces are formal; indeed, scalability can be thought of as a metric version of formality. They are also characterized by particularly nice behavior from the point of view of quantitative homotopy theory. Among other results, we show that spaces which are formal but not scal...
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作者：Xu, Daxin; Zhu, Xinwen
作者单位：Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS; Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS; Chinese Academy of Sciences; University of Chinese Academy of Sciences, CAS; California Institute of Technology
摘要：We construct the Frobenius structure on a rigid connection Be (sic) on G(m) for a split reductive group (sic) introduced by Frenkel-Gross. These data form a (sic)-valued overconvergent F-isocrystal Be-(sic)(dagger) on G(m), F-p, which is the p-adic companion of the Kloosterman (sic)-local system Kl((sic)) constructed by Heinloth-Ngo-Yun. By studying the structure of the underlying differential equation, we calculate themonodromy group of Be-(sic)(dagger) when (sic) is almost simple (which reco...
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作者：Carmeli, Shachar; Schlank, Tomer M.; Yanovski, Lior
作者单位：Weizmann Institute of Science; Hebrew University of Jerusalem; Max Planck Society
摘要：We extend the theory of ambidexterity developed by M. J. Hopkins and J. Lurie and show that the infinity-categories of T (n)-local spectra are infinity-semiadditive for all n, where T (n) is the telescope on a vn-self map of a type n spectrum. This generalizes and provides a newproof for the analogous result of Hopkins-Lurie on K(n)-local spectra. Moreover, we showthat K(n)-local and T (n)-local spectra are respectively, the minimal and maximal 1-semiadditive localizations of spectra with resp...
