BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Raphaël Belliard (University of Alberta)
DTSTART:20220714T220000Z
DTEND:20220714T233000Z
DTSTAMP:20260423T005729Z
UID:PIMS_GAP/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PIMS_GAP/6/"
 >Pushing around loop equations</a>\nby Raphaël Belliard (University of Al
 berta) as part of PIMS Geometry / Algebra / Physics (GAP) Seminar\n\nLectu
 re held in THORV 124.\n\nAbstract\nThe term “loop equations” was coine
 d by Migdal in the early 90's in the context of quark confinement to refer
  to certain sets of equations describing the propagation of test particles
  in quantum field theory.\n\nThey have since appeared many times at the bo
 undary between mathematics and physics. From statistical spectroscopy to e
 numerative geometry via integrable hierarchies\, they encode conformal fea
 tures of various problems in an analytic way.\n\nThe prototypical situatio
 n where loop equations are valuable is that of matrix integrals\, with app
 lications ranging from all the aforementioned topics to number theory and 
 even artificial neural networks.\n\nA seemingly antipodal approach to matr
 ix integrals is that of orthogonal polynomials\, unveiling a subtle relati
 onship between loop equations and the geometry of meromorphic connections.
  This bridge can be abstracted in terms of $W$-algebra constraints and we 
 shall cross it back and forth.\n\nHybrid delivery (in person on University
  of Saskatchewan campus and via Zoom).\n
LOCATION:https://researchseminars.org/talk/PIMS_GAP/6/
END:VEVENT
END:VCALENDAR