Shahed Sharif


Cal State University San Marcos


Tuesday, May 2, 2017 - 2:00pm to 3:00pm


RH 340P

The period and index of a curve C are two quantities which describe the failure of C to have rational points. The mismatch between the two is of interest for its impact on the Shafarevich-Tate group of the Jacobian of C. The period-index problem is to determine what values of period and index are possible for a given genus g. We will give a complete answer when g=1, and an almost complete answer when g ≥ 2.