Talk 1: 10:30 am - 10:55 am:

I shall be discussing the ECM algorithmic procedure in brief, some heuristic ideas regarding its computational complexity, and some optimization procedures - Section 7.3 and 7.4 of the Prime Numbers book ~ Sneha

Talk 2: 11 am - 11:50 pm:

This talk will cover methods for counting points on elliptic curves. In other words, given an eliptic curve, we wish to compute the order of that curve. We will then see how this can be used for fast primality proving. The talk will cover parts of sections 7.5 and 7.6. ~ Kareem