## Colloquium and James M. Flaherty Visiting Professorship Public Lecture - Robert Osburn - Knots, Modularity and Beyond

- Calendar
- Mathematics & Statistics

- Date
- 09.27.2019 3:30 pm - 4:30 pm

### Description

HH 305

Speaker: Robert Osburn (University College Dublin)

Title: Knots, Modularity, and Beyond

James M. Flaherty Visiting Professorship Public Lecture

Abstract: Knots are objects which appear in nature, science and the arts. We see them while

untying our shoelaces, looking under a microscope or admiring the Book of Kells.

Knot invariants are quantities defined for each knot which are the same for equivalent

knots.

Modular forms are analytic objects with intrinsic symmetric properties. They

played a key role in the proof of Fermat’s Last Theorem and occur in many diverse

areas such as mathematical physics, algebraic geometry, combinatorics, logic and

black holes.

Over the past two decades, there have been intriguing connections between these

two seemingly disparate areas. In this lecture, we discuss historical developments

and recent striking interactions between quantum knot invariants and a new spectrum

of modular forms, namely mock modular and quantum modular forms.

Coffee and Cookies will be served in the lounge (HH 216) at 3:00 pm. Everyone is welcome.