Feb 17 2020

Geometry, Topology and Dynamics Seminar: Fourier Transforms and Physical Dualities, by Richard Derryberry

February 17, 2020

3:00 PM - 3:50 PM

Location

636 SEO

Address

Chicago, IL

Richard Derryberry (Perimeter Institute): Fourier Transforms and Physical Dualities

The Fourier transform is a canonical integral transform that relates the function theory of a locally compact abelian group with the function theory of its character group. In this talk I will review how this relates to an algebraic version of the Fourier transform relating the sheaf theory of an algebraic commutative group to an appropriate version of its dual, and discuss how it relates to duality in physics. I will conclude by discussing a class of self-dual spaces constructed in my thesis, which I conjecture to be the 3d Coulomb branches of 4d theories of class S.
No previous knowledge of mathematical physics will be assumed, and the talk will be given with the expectation of a diverse audience.

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Contact

Laura Schaposnik

Date posted

Feb 18, 2020

Date updated

Feb 18, 2020

Speakers

Richard Derryberry | (Perimeter Institute)