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Graduate Student Seminar | Preston Cranford (Northwestern University)

Friday, October 18, 2024 | 4:00 PM - 5:15 PM CT
Lunt Hall, 105, 2033 Sheridan Road, Evanston, IL 60208 map it

Title: Knot Invariants

Abstract: Knots are circles embedded into 3-dimensional space. They can appear simple like S^1 sitting in R^3, or they can appear complicated like tied-up shoelaces. We will consider the question: when can a knot be untangled into a simple circle? To approach this we will introduce some invariants of knots such as the Jones polynomial and its fancier version, Khovanov homology. We will explain what "categorification" is and how Khovanov homology "categorifies" the Jones polynomial.

Note: The talk will start at 4:10 pm

Audience

  • Faculty/Staff
  • Student
  • Public
  • Post Docs/Docs
  • Graduate Students

Contact

Daniel Mallory
Email

Interest

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