Millennium Prize Problems Lecture – Barry Mazur: Birch and Swinnerton–Dyer Conjecture
CMSA EVENTS
Millennium Prize Problems Lecture
Speaker: Barry Mazur, Harvard University
Topic: Birch and Swinnerton–Dyer Conjecture
Location: Science Center, Hall C
Abstract:
In the 1950s Bryan Birch and Peter Swinnerton–Dyer made computations that suggested a striking connection between a basic global invariant of an elliptic curve E over the field of rational numbers (namely, the rank of its group of rational points) and certain asymptotics of its local arithmetic invariants (i.e., the number of its rational points over finite fields).
This initial observation has evolved into their conjecture. My lecture will be an introduction to the general ideas behind its ever-expanding development.
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Read more about the Birch and Swinnerton–Dyer Conjecture at the Clay Math website.
Organizers: Martin Bridson, Clay Mathematics Institute | Dan Freed, Harvard University and CMSA | Mike Hopkins, Harvard University
More information on the Millennium Prize Problems Lecture Series