HOẠT ĐỘNG TRONG TUẦN

Tóm tắt: The Mahler measure of polynomials was introduced by Mahler in 1962 as a tool to study transcendental number theory. Over time, numerous connections have been discovered between Mahler measures and objects in number theory, such as the special values of L-functions and the Riemann zeta function. To study these relationships, we employ cohomological tools, including Deligne-Beilinson cohomology and motivic cohomology. In this talk, I will first give an introduction to the Mahler measure of polynomials and highlight a fundamental result by Deninger from 1997. I will then briefly recall the definitions of Deligne-Beilinson cohomology and motivic cohomology. Finally, I will express the Mahler measure of an exact polynomial in arbitrarily many variables in terms of the Deligne-Beilinson cohomology.

Thời gian: 16h30 Thứ Năm ngày 02/01/2025

Địa chỉ: Phòng 612 nhà A6 - Viện Toán học

Online: Join Zoom Meeting

 

https://zoom.us/j/99636681387?pwd=0WscBnehOJig68SqctGluVuA3RwraE.1

 

Meeting ID: 996 3668 1387

 

Passcode: 123456