# Sunil Naik (Queen's University)

Date

Tuesday October 3, 20234:00 pm - 5:00 pm

Location

Jeffery Hall, Room 319Event Category

## Number Theory Seminar

**Tuesday, October 3rd, 2023**

**Time:** 4:00 p.m. **Place:** Jeffery Hall, Room 319

**Speaker:** Sunil Naik (Queen's University)

**Title:** Brun's inequality for a geometric lattice.

**Abstract:** In his seminal paper of 1915, Viggo Brun introduced a sieve that is now known as Brun's sieve and it stems from Brun's inequality for the Mobius function. This sieve is a very powerful tool in modern number theory.

In an ongoing work with R. Murty, we prove Brun's inequality for a geometric lattice. Surprisingly, unlike in the classical case, it requires a recent work of K. Adiprasito, J. Huh and E. Katz.