broadcast in Lecture Room B, 4th Floor, The 3rd General Building, NTHU, Online seminar
(線上演講 於清大綜合三館Lecture Room B直播/收播)
Linear Relations among Carlitz Polylogarithms at Algebraic Points
Yen-Tsung Chen (Pennsylvania State University)
Abstract
In a recent work of David, Hirata-Kohno, and Kawashima, they found an explicit sufficient condition for polylogarithms at algebraic numbers to be linearly independent over the field of rational numbers by using the Pade approximation. In this talk, we study an analogous problem in the function field setting with a different approach. More precisely, we establish some explicit sufficient conditions for the linear independence of Carlitz polylogarithms at algebraic points using the theory of Anderson dual t-motives and the detailed analysis of a specific Frobenius difference equation. This is joint work with Ryotaro Harada.
Meeting number (access code): 2514 136 3404
Meeting password: u3D2PMmbfV2
