Date: 11-21-2024
CMSA/Tsinghua Math-Science Literature Lecture: Bjorn Poonen, MIT
Speaker: Bjorn Poonen, MIT Title: Ranks of elliptic curves Abstract: Elliptic curves are simplest varieties whose rational points are not fully understood, and they are the simplest projective varieties with a nontrivial group structure. In 1922 Mordell proved that the group of rational points on an elliptic curve is finitely generated. We will survey what is known and what is believed about this group.
Date: 3-20-2024
CMSA/Tsinghua Math-Science Literature Lecture: Cameron Gordon – The Unknotting Number of a Knot
Prof. Cameron Gordon presented a lecture in the CMSA/Tsinghua Math-Science Literature Lecture Series. Title: The Unknotting Number of a Knot Abstract: One of the oldest and most natural knot invariants is the unknotting number, which is the minimum number of times a knot must be allowed to pass through itself in order to unknot it. Although this invariant was discussed by Tait almost 150 years ago, it is still poorly understood. For instance it is not known if it is algorithmically computable, a...