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


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

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.
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