Dec 13, Sunday 10:00-11:30 am Ke Chen Room 2201 Title: equidistribution of strongly special subvarieties and variants Abstract: Clozel and Ullmo proved the equidistribution of a class of special subvarieties using tools from ergodic theory. We discuss some variants of this proof for Kuga varieties. 1:30-3:00 pm Zhengyu Xiang Room 2201 Title: Twisted eigenvarity for Gl(3) Abstract: We develop the theory of twisted finite slope character distributions and construct an eigenvariety for Gl(3)which parameterizes all self-dual automorphic Hecke eigensystems. 3:30-5:00 pm Shanwen Wang Room 2201 Title: Universal Kato's Euler system Abstract: We construct a Kato's Euler system over the unviersal deformation ring which allows us to recover the classical Kato's Euler systems, the refined Kato's Euler systems and the Kato's Euler system over the cuspidal eigencurve. Dec 14, Monday 10:00-11:30 am Masataka Chida Room 2201 Title: CM cycles and Bloch-Kato conjecture for modular forms Abstract:In this talk, we will introduce a construction of an Euler system using CM cycles on Kuga-Sato varieties over Shimura curves and a relation between the Euler system and central critical values of Rankin-Selberg L-functions associated to modular forms of higher weight and finite order Hecke characters over imaginary quadratic fields.Also we will explain an application to Bloch-Kato conjecture for modular forms. This is a generalization of works of Bertolini-Darmon and Longo-Vigni to higher weight modular forms. 1:30-3:00 pm Ming-Lun Hsieh Room 2213 Title: On anticyclotomic p-adic triple L-functions. Abstract: We give a construction of p-adic triple L-functions which interpolate square roots of central values of certain triple product L-functions in the unbalanced case. The idea basically follows Hida’ s construction of p-adic Rankin-Selberg convolution and the new input is an explicit Ichino’ s central value formula. 3:30-5:00 pm Bingyong Xie Room 2213 Title: TBA Abstract: TBA
12月13日
2015
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2015
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