Title: Moment growth and intermittency for SPDEs in the sublinear-growth regimeAbstract: In this paper, we investigate stochastic heat equation with sublinear diffusion coefficients. By assuming some concavity of the diffusion coefficient, we establish non-trivial moment upper bounds for the solution. These moment bounds shed light on the smoothing intermittency effect under weak diffusion (i.e., sublinear […]
Title: Multiplicative universal centralizer: Bruhat stratification, cluster structure and applicationsAbstract: The universal centralizer of a complex reductive group plays an important role in geometric representation theory. Aside from the standard group scheme structure, it possesses a natural Bruhat decomposition (and consequently a ''parabolic induction" structure) that makes the geometry quite explicit, and has many applications. The […]
Title: Higher Period Integrals and Derivatives of L-functions. Abstract: We will explain how the construction of Kolyvagin systems in the preprint https://arxiv.org/abs/2504.00275 by Liu and Wang specializes, unconditionally, to previous work of Yun and Zhang in the case of CM points.