M. Ram Murty (Queen's University)
Date
Monday January 16, 20234:30 pm - 5:30 pm
Location
Jeffery Hall, Room 319Event Category
Number Theory Seminar
Monday, January 16th, 2023
Time: 4:30 p.m. Place: Jeffery Hall, Room 319
Speaker: M. Ram Murty (¾ÅÐãÖ±²¥)
Title: SOME REMARKS ON HASSE'S INEQUALITY
Abstract: Hasse's inequality regarding the number of points on an elliptic curve mod p has a colorful history. Some of this is well-known in that it led to the rapid development of algebraic geometry. But some work of Davenport in the 1930's that predate Hasse's work is not so well-known. The beauty and elegance of this work got buried in the sands of time. I will give a streamlined version of both Davenport and Hasse's works and discuss especially what Davenport's work suggests for the classical Riemann hypothesis.