The Clemens conjecture

Student Algebraic Geometry Seminar
Thursday, November 8, 2018 - 1:30pm
1 hour (actually 50 minutes)
Skiles 006
Georgia Tech
In 1986, Herb Clemens conjectured that on a general quintic threefold, there are finitely many rational curves of any given degree. In this talk, we will give a survey of what is known about this conjecture. We will also highlight the connections between enumerative geometry and physics that arise in studying the quintic threefold.