报告地点：行健楼学术活动室526
邀请人：纪春岗教授
摘要： In recent years, a variety of variants of multiple zeta values (MZVs) have been defined and studied. One way to produce these variants is to restrict the indices in the definition of MZVs to some fixed parity pattern, which include Hoffman's multiple t-values, Kaneko and Tsumura's multiple T-values, and multiple S-values first studied by Xu and the speaker. We have also considered the so-called multiple mixed values by allowing all possible parity patterns and studied a few important relations among these values. In this talk, I will turn to their finite analogs and their symmetric forms, motivated by a deep conjecture of Kaneko and Zagier which relates the finite MZVs and symmetric MZVs, and a generalized version of this conjecture by the speaker to the Euler sum (i.e., level two) setting. I will present a few important relations among these values such as the stuffle, reversal, and linear shuffle relations.
