HIMIS Seminar 

Title:

BSD conjecture and locally symmetric space


Speaker:

Professor Zhiyu Zhang


Abstract:

There are infinitely many prime numbers (Euclid's theorem). To study arithmetic geometry of equations, we study their asymptotics modulo primes. This leads to the Riemann zeta function and general L-functions. This also leads to the millennium prize problem (BSD conjecture) for equations of elliptic curves, which is discovered by computations in 1960s using EDSAC-2. The BSD conjecture is proved in a major case, using the Gross-Zagier formula and Wile's theorem that these elliptic curves are from simple locally symmetric spaces.



Bio:


Zhiyu Zhang is currently a Szego Assistant Professor at Stanford University. He received his PhD from MIT in 2022 and held visiting scholar positions at MSRI (Berkeley) and Ecole Normale Superieure. He obtained his undergraduate degree from Tsinghua University (2018).


Time:

11:00-12:00 AM , March 2nd


Location:

Room 7A5 , 7F , HIMIS