## Upcoming Seminars

**Math Seminar: Deligne’s Inequality and a Lower Bound for Ramanujan’s Tau Function
Dr. Will Lee, Pr**

*ofessor of Mathematics*, Rutgers UniversityOctober 15th, 2021

11:00 am

BSB 132

Abstract: Here we give a stronger version of Lehmer’s Conjecture that | τ (p)| > (1/ 𝑝3, which implies the Lehmer’s Conjecture. We then establish the sharp lower bound, | τ (p)| > 𝑝4, using basically the same method as the first one. Remarkably, A(p) turned to be periodic or semi periodic from which we get the sharp lower bound.

**Math Seminar: On Lehmer’s Conjecture
Dr. Will Lee, Professor of Mathematics, Rutgers University**

October 8th, 2021

11:00 am

BSB 132

Abstract: In this talk, we give a proof of the long standing Lehmer conjecture that the Ramanujan tau function τ (n) is not equal to zero. We use the Unique Factorization Theorem and the matrix attached to prime divisor q (>q) of A(p) where τ(p)=A(p)-B(p).

**Math Seminar: Applications of Calculus in Lie Algebra
Dr. Haisheng Li, Professor of Mathematics, Rutgers University
**

October 1st, 2021

11:00 am

BSB 132

Abstract: In this talk, we show how some simple facts in Calculus can be applied to study modules for Heisenberg Lie algebras. This is an introductory talk on Lie algebras. No knowledge beyond basic linear algebra is required. We shall begin with the definitions of Lie algebra, Heisenberg Lie algebra, and module for a Lie algebra.

## Past Seminars

See next page.