Journal of the American Mathematical Society

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• THE WILLMORE FUNCTIONAL ON LAGRANGIAN TORI - ITS RELATION TO AREA AND EXISTENCE OF SMOOTH MINIMIZERS AI翻译
  作者：MINICOZZI, WP
  摘要：In this paper we prove an existence and regularity theorem for lagrangian tori minimizing the Willmore functional in Euclidean four-space, R(4), with the standard metric and symplectic structure. Technical difficulties arise because the Euler-Lagrange equation for this problem is a sixth-order nonlinear partial differential equation. This research was motivated by a study of the seemingly unrelated Plateau problem for lagrangian tori, and in this paper we illustrate this connection.
• ON THE EXISTENCE OF MAASS CUSP FORMS ON HYPERBOLIC SURFACES WITH CONE POINTS AI翻译
  作者：JUDGE, CM
  作者单位：Institute for Advanced Study - USA
  摘要：The perturbation theory of the Laplace spectrum of hyperbolic surfaces with conical singularities belonging to a fixed conformal class is developed. As an application, it is shown that the generic such surface with cusps has no Maass cusp forms ( L(2) eigenfunctions) under specific eigenvalue multiplicity assumptions. It is also shown that eigenvalues depend monotonically on the cone angles. From this, one obtains Neumann eigenvalue monotonicity for geodesic triangles in H-2 and a lower bound ...
• STABLE SHEAF COHOMOLOGY ON FLAG VARIETIES AI翻译
  作者：Raicu, Claudiu; Vandebogert, Keller
  作者单位：University of Notre Dame; University of Bucharest; Institute of Mathematics of the Romanian Academy; University of Kentucky
• IMPROVED BOUNDS FOR THE TWO-POINT LOGARITHMIC CHOWLA CONJECTURE AI翻译
  作者：Pilatte, Cedric
  作者单位：University of Oxford; University of Cambridge
• CONVERGENCE OF EXCLUSION PROCESSES AND THE KPZ EQUATION TO THE KPZ FIXED POINT (vol 36, pg 251, 2023) AI翻译
  作者：Quastel, Jeremy; Sarkar, Sourav
  作者单位：University of Toronto; University of Cambridge
• THE UNBOUNDED DENOMINATORS CONJECTURE AI翻译
  作者：Calegari, Frank; Dimitrov, Vesselin; Tang, Yunqing
  作者单位：University of Chicago; California Institute of Technology; University of California System; University of California Berkeley
  摘要：We prove the unbounded denominators conjecture in the theory of noncongruence modular forms for finite index subgroups of SL2(Z). Our result includes also Masons generalization of the original conjecture to the setting of vector-valued modular forms, thereby supplying a new path to the congruence property in rational conformal field theory. The proof involves a new arithmetic holonomicity bound of a potential-theoretic flavor, together with Nevanlinna second main theorem, the congruence subgro...
• p-ADIC NON-ABELIAN HODGE THEORY FOR CURVES VIA MODULI STACKS AI翻译
  作者：Heuer, Ben; Xu, Daxin
  作者单位：Leibniz University Hannover; Chinese Academy of Sciences; Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS; Chinese Academy of Sciences; University of Chinese Academy of Sciences, CAS
• LOCAL RIGIDITY OF WEAK OR NO HYPERBOLICITY ALGEBRAIC ACTIONS AI翻译
  作者：Wang, Zhenqi Jenny
  作者单位：Michigan State University
• STABLE DEGENERATIONS OF SINGULARITIES AI翻译
  作者：Xu, Chenyang; Zhuang, Ziquan
  作者单位：Princeton University; Johns Hopkins University
• INTRINSIC MIRROR SYMMETRY AI翻译
  作者：Gross, Mark; Siebert, Bernd
  作者单位：University of Cambridge; University of Texas System; University of Texas Austin