> BEGIN:VCALENDAR VERSION:2.0 PRODID:-//WISTA Management GmbH/ METHOD:PUBLISH X-MS-OLK-FORCEINSPECTOROPEN:TRUE BEGIN:VTIMEZONE TZID:W. Europe Standard Time BEGIN:STANDARD DTSTART:16011028T030000 RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=10 TZOFFSETFROM:+0200 TZOFFSETTO:+0100 END:STANDARD BEGIN:DAYLIGHT DTSTART:16010325T020000 RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=3 TZOFFSETFROM:+0100 TZOFFSETTO:+0200 END:DAYLIGHT END:VTIMEZONE BEGIN:VEVENT UID:48916 LOCATION: CREATED:20230324T124243Z DTSTAMP:20230428T083408Z SUMMARY:Online Seminar: Algebra, Particles, and Quantum theory DESCRIPTION: X-ALT-DESC;FMTTYPE=text/html:

The Algebra, Particles, and Quantum Theory international online seminar series is organized by Nichol Furey, a VW Stiftung Research Fellow in mathematical physics at Humboldt-Universität zu Berlin.


15 May 2023:

Symmetric spaces and the tenfold way

John Baez
U.C. Riverside

Abstract: The tenfold way has many manifestations. It began as a tenfold classification of states of matter based on their behavior under time reversal and charge conjugation. Mathematically, it relies on the fact that there are ten super division algebra and ten kinds of Clifford algebras, where two Clifford algebras are of the same kind if they have equivalent categories of representations. But Cartan also showed that there are ten infinite families of compact symmetric spaces! After explaining symmetric spaces, we describe two ways to get compact symmetric spaces from Clifford algebras, which give different correspondences between these two manifestations of the tenfold way.

 

CLASS:PUBLIC DTSTART;TZID="W. Europe Standard Time":20230515T190000 DTEND;TZID="W. Europe Standard Time":20230515T203000 TRANSP:TRANSPARENT SEQUENCE:0 END:VEVENT END:VCALENDAR