Hoạt động trong tuần

The Mahler measure of exact polynomials and the Beilinson regulators
Báo cáo viên: Triệu Thu Hà - Đại học BK Hà Nội

Thời gian: 16h30 Thứ Năm ngày 16/01/2025

Địa chỉ: Phòng 612 nhà A6 - Viện Toán học

Tóm tắt: In this talk, I will reveal the relationship between Mahler measures of exact polynomials and the Beilinson regulators. This, in turn, establishes a connection between Mahler measures and the special values of L- functions of certain motives via Beilinson’s conjectures. Specifically, for three- and four-variable polynomials, I will construct explicitly elements in the motivic cohomology such that the Mahler measure corresponds to the Beilinson regulator of these motivic cohomology classes. Finally, I will present some examples to which my theorem applies. If time permits, I will also briefly discuss some open questions in this research direction.

Online (Join Zoom Meeting): https://zoom.us/j/99636681387?pwd=0WscBnehOJig68SqctGluVuA3RwraE.1

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