Research-Choosing points on cubic plane curves

Research

Geometry & Topology Seminar

Choosing points on cubic plane curves

Speaker: Weiyan Chen (Tsinghua University)
Time: Nov 8, 2021, 16:20-17:10
Location: Zoom ID 846 6434 3534

Abstract

It is a classical topic to study structures of certain special points on complex smooth cubic plane curves, for example, the 9 flex points and the 27 sextactic points. We consider the following topological question asked by Farb: Is it true that the known algebraic structures give all the possible ways to continuously choose n distinct points on every smooth cubic plane curve, for each given positive integer n? This work is joint with Ishan Banerjee.