地点: 数学高等研究院报告厅

时间: 9月16日，15:00 - 16:00

主讲人: Fernando Trejos(普林斯顿大学)

摘要：We discuss the construction of an Euler system for the triple product: the 8-dimensional p-adic Galois representation V = V_1 x V_2 x V_3, where V_i for i=1,2,3 is the representation attached to an ordinary cuspidal eigenform f_i of weight k_i (varying in a Hida family). Our construction is via the pullback method recently introduced by Sangiovanni Vincentelli and Skinner. The image of the Euler system under a Perrin-Riou regulator map is the p-adic L-function of Hsieh and Yamana that interpolates critical values of L(f_1 x f_2 x f_3 x \chi, s), where \chi is a Dirichlet character and the weights (k_1, k_2, k_3) are in the balanced range. The cyclotomic variable \chi is not seen by previous constructions, such as the diagonal cycles of Darmon and Rotger.