#  Millennium Prize Problems Lecture – Barry Mazur: About the Birch and Swinnerton–Dyer Conjecture 

 



    ![Event poster for "About the Birch and Swinnerton–Dyer Conjecture"](/sites/g/files/omnuum716/files/styles/hwp_5_4__480x385/public/2026-02/Mazur_AD.hallc_.web_.jpg?h=3100b2fa&itok=BT9IzF3d) 

 



 

####  calendar\_today Date and Time 

 **February 4, 2026** 

 05:00PM - 06:00PM EST 

####  pin\_drop Location 

 **Science Center Hall C**  

 [1 Oxford St  
Cambridge, MA 02138  
United States



 ](<https://www.google.com/maps?q=US MA Cambridge 02138 1 Oxford St>) 



 

 [ Register here arrow\_circle\_right ](https://cmsa.fas.harvard.edu/event/clay_2426/) 

 



 

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.

[**Register to attend in-person.**](https://forms.gle/ByqxsDC2bXSpahmV9)

[**Register for the Zoom Webinar.**](https://harvard.zoom.us/webinar/register/WN_OsFHFnE1TM2vG4XWSs9S7Q)

[Read more about the Birch and Swinnerton–Dyer Conjecture at the Clay Math website.](https://www.claymath.org/millennium/birch-and-swinnerton-dyer-conjecture/)



 

 



 

 

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