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 (¾ÅÐãÖ±²¥)
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.