BEGIN:VCALENDAR VERSION:2.0 PRODID:-//jEvents 2.0 for Joomla//EN CALSCALE:GREGORIAN METHOD:PUBLISH BEGIN:VTIMEZONE TZID:America/New_York BEGIN:STANDARD DTSTART:20221106T010000 RDATE:20230312T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20231105T010000 RDATE:20240310T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20241103T010000 RDATE:20250309T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20251102T010000 RDATE:20260308T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20261101T010000 RDATE:20270314T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20271107T010000 RDATE:20280312T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20281105T010000 RDATE:20290311T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:DAYLIGHT DTSTART:20220406T121000 RDATE:20221106T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20230312T030000 RDATE:20231105T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20240310T030000 RDATE:20241103T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20250309T030000 RDATE:20251102T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20260308T030000 RDATE:20261101T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20270314T030000 RDATE:20271107T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20280312T030000 RDATE:20281105T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT END:VTIMEZONE BEGIN:VEVENT UID:6c76452ed9951b2d3c09c14f09576343 CATEGORIES:Lie Group Quantum Mathematics Seminar CREATED:20230329T104443 SUMMARY: Yang-Baxter equations for vertex operator algebras and their operator forms LOCATION:Hill 705 DESCRIPTION:Abstract The classical Yang-Baxter equation (CYBE) is the semi-classical li mit ofthe quantum Yang-Baxter equation, named after the physicists C.N. Yan g andR. Baxter. Its solution has inspired the remarkable works of Belavin, Drinfeld,and others and the important notions of Lie bialgebras and Manin t riples.Motivated by the importance of the CYBE in the theory and applicatio ns ofLie algebras, various analogs of the CYBE for other algebraic structur es havebeen extensively studied in recent years. In this talk, we will firs t review thetensor and operator forms of the CYBE and their connections wit h theRota-Baxter operators. Then we will give a generalization of the CYBE in bothtensor and operator form to the vertex operator algebras, which prov ides uswith a parameter-independent Yang-Baxter equation whose solutions li e inan infinite-dimensional vector space. Finally, we will discuss its rela tions withthe CYBE. No prior knowledge of Yang-Baxter equations is required . This talk isbased on a joint work with Chengming Bai and Li Guo.\n X-ALT-DESC;FMTTYPE=text/html:

Abstract The classical Yang-Baxter equation (CYBE) is the semi-classi cal limit ofthe quantum Yang-Baxter equation, named a fter the physicists C.N. Yang andR. Baxter. Its solut ion has inspired the remarkable works of Belavin, Drinfeld,
and others and the important notions of Lie bialgebras and Manin trip les.Motivated by the importance of the CYBE in the th eory and applications ofLie algebras, various analogs of the CYBE for other algebraic structures havebeen extensively studied in recent years. In this talk, we will first review the tensor and operator forms of the CYBE and their conne ctions with theRota-Baxter operators. Then we will gi ve a generalization of the CYBE in bothtensor and ope rator form to the vertex operator algebras, which provides uswith a parameter-independent Yang-Baxter equation whose solutions l ie inan infinite-dimensional vector space. Finally, w e will discuss its relations withthe CYBE. No prior k nowledge of Yang-Baxter equations is required. This talk is
based on a joint work with Chengming Bai and Li Guo.

CONTACT:Jianqi Liu, University of California at Santa Cruz DTSTAMP:20260827T094945 DTSTART;TZID=America/New_York:20230407T121000 DTEND;TZID=America/New_York:20230407T131000 SEQUENCE:0 TRANSP:OPAQUE END:VEVENT END:VCALENDAR