School of Mathematical Sciences

Quantum Mathematics Seminar: Daniel Grady (Texas Tech)

MS Teams talk
Wednesday 11th May 2022 (15:00-16:00)

Robert Laugwitz (organizer)

 Alexander Schenkel (host)


Quantum Maths Seminar, external speaker

Speaker: Daniel Gardy (Texas Tech)

Title:  Applications of the geometric cobordism hypothesis

Abstract:  In this talk, I will discuss several applications of recent work with Dmitri Pavlov, which proves a geometric version of the cobordism hypothesis. Starting from the differential refinement of a characteristic class, the result implies that there exists a fully extended functorial field theory whose value on the moduli of points recovers this class. In particular, this can be used to show the existence of Chern--Simons theory as a fully extended prequantum field theory, starting from just the Chern--Simons form. Specializing to invertible field theories, the result can also be used to prove a conjecture of Freed and Hopkins on reflection positive invertible field theories. 

One hour talk followed by informal discussion.

School of Mathematical Sciences

The University of Nottingham
University Park
Nottingham, NG7 2RD

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