A note on Matsuda monoids
Speaker:
Sunil Naik, Queen's University
Date and Time:
Tuesday, May 28, 2024 - 3:40pm to 3:55pm
Location:
Fields Institute, Room 230
Abstract:
A commutative, torsion-free, cancellative monoid $M$ is called a Matsuda monoid if for every indivisible element $\alpha$ in $M$, the polynomial $X^{\alpha} - 1$ is irreducible in $F[X; M]$ for any field $F$, where $F[X; M]$ denotes the ring of all polynomials with coefficients in $F$ and exponents in $M$. In this talk, we will discuss recent work on Matsuda monoids that leads to questions in analytic number theory.
Bio: Sunil is currently a post doc at Queen's University, Kingston, Canada working under the supervision of Prof. M. Ram Murty and Prof. Brad Rodgers. He completed Ph. D at the Institute of Mathematical Sciences, Chennai, India under the guidance of Prof. Sanoli Gun.