Sunil Naik (Queen's University)


Tuesday October 3, 2023
4:00 pm - 5:00 pm


Jeffery Hall, Room 319

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.