BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Sarah Harrison (McGill University) DTSTART:20210712T190000Z DTEND:20210712T200000Z DTSTAMP:20260423T035918Z UID:WHCGP/36 DESCRIPTION:Title: N ew BPS algebras from superstring compactifications\nby Sarah Harrison (McGill University) as part of Western Hemisphere colloquium on geometry a nd physics\n\n\nAbstract\nBorcherds Kac-Moody (BKM) algebras are a general ization of familiar Kac-Moody algebras with imaginary simple roots. On the one hand\, they were invented by Borcherds in his proof of the monstrous moonshine conjectures and have many interesting connections to new moonshi nes\, number theory and the theory of automorphic forms. On the other hand \, there is an old conjecture of Harvey and Moore that BPS states in strin g theory form an algebra that is in some cases a BKM algebra and which is based on certain signatures of BKMs observed in 4d threshold corrections a nd black hole physics. I will briefly review the construction of new BKMs superalgebras arising from self-dual vertex operator algebras of central c harge 12\, and then discuss recent work showing how they arise as algebras of BPS states in physical string theories in 2 dimensions\, as well as th eir connection with automorphic forms. Based on work with N. Paquette\, D. Persson\, and R. Volpato. This can be seen as a follow-up to a talk given by N. Paquette at this series this past October.\n LOCATION:https://researchseminars.org/talk/WHCGP/36/ END:VEVENT END:VCALENDAR