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Seminar

Online Seminar: Signatures of braided fusion categories and Witt groups April 30, 2020 (10:00 AM PDT - 11:30 AM PDT)
Parent Program:
Location: MSRI: Online/Virtual
Speaker(s) Siu-Hung Ng (Louisiana State University)
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Video

Signatures Of Braided Fusion Categories And Witt Groups

Abstract/Media

In this talk, we introduce the notion of signatures of fusion categories. These signatures can be extended to Witt invariants of braided fusion categories over any symmetric fusion categories. Moreover, the higher central charges of any modular category can be expressed in terms of the first central charge and the signature of the modular category. By computing the signatures an infinite family of quantum group modular categories, we show that every Ising modular category has infinitely many square roots in the Witt group. This result implies a conjecture of Davydov-Nikshych-Ostrik on the super-Witt group.

 

Zoom link.

https://msri.zoom.us/s/585445592

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Signatures Of Braided Fusion Categories And Witt Groups

H.264 Video 24985_28337_8304_Signatures_of_Braided_Fusion_Categories_and_Witt_Groups.mp4