2期

最新文章

• Arctic boundaries of the ice model on three-bundle domains AI翻译
  作者：Aggarwal, Amol
  作者单位：Harvard University
  摘要：In this paper we consider the six-vertex model at ice point on an arbitrary three-bundle domain, which is a generalization of the domain-wall ice model on the square (or, equivalently, of a uniformly random alternating sign matrix). We show that this model exhibits the arctic boundary phenomenon, whose boundary is given by a union of explicit algebraic curves. This was originally predicted by Colomo and Sportiello (J Stat Phys 164:1488-1523, 2016) as one of the initial applications of a genera...
• Scl in graphs of groups AI翻译
  作者：Chen, Lvzhou
  作者单位：University of Chicago
  摘要：Let G be a group acting on a tree with cyclic edge and vertex stabilizers. Then stable commutator length (scl) is rational in G. Furthermore, scl varies predictably and converges to rational limits in so-called surgery families. This is a homological analog of the phenomenon of geometric convergence in hyperbolic Dehn surgery.
• Diffeomorphism groups of critical regularity (vol 73, pg 225, 2020) AI翻译
  作者：Kim, Sang-hyun; Koberda, Thomas
  作者单位：Korea Institute for Advanced Study (KIAS); University of Virginia
• Every classifiable simple C*-algebra has a Cartan subalgebra AI翻译
  作者：Li, Xin
  作者单位：University of London; Queen Mary University London
  摘要：We construct Cartan subalgebras in all classifiable stably finite C*-algebras. Together with known constructions of Cartan subalgebras in all UCT Kirchberg algebras, this shows that every classifiable simple C*-algebra has a Cartan subalgebra.
• An effective Chebotarev density theorem for families of number fields, with an application to l-torsion in class groups AI翻译
  作者：Pierce, Lillian B.; Turnage-Butterbaugh, Caroline L.; Wood, Melanie Matchett
  作者单位：Duke University; Institute for Advanced Study - USA; Carleton College; University of California System; University of California Berkeley
  摘要：We prove a new effective Chebotarev density theorem for Galois extensions L/Q that allows one to count small primes (even as small as an arbitrarily small power of the discriminant of L); this theorem holds for the Galois closures of almost all number fields that lie in an appropriate family of field extensions. Previously, applying Chebotarev in such small ranges required assuming the Generalized Riemann Hypothesis. The error term in this new Chebotarev density theorem also avoids the effect ...