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CANCELLED The Mahler measure of a genus 3 family

Presented by: 
Matilde Lalín
Monday 30th March 2020 - 15:00 to 16:00
INI Seminar Room 1
The Mahler measure of a polynomial P is defined as certain integral of log|P| over the unit torus. For multivariate polynomials, it often yields special values of L-functions. In this talk I will discuss some of these relationships and prove  an identity between the Mahler measures of a genus 3 polynomial family and of a genus 1 polynomial family that was initially conjectured by Liu and Qin. This is joint work with Gang Wu.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons