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UID:019a57c39f28908397fac6b411125714
CATEGORIES:Lie Group Quantum Mathematics Seminar
CREATED:20220323T093546
SUMMARY:General Relativity and Integrability
LOCATION:Zoom
DESCRIPTION:<p>Abstract: A remarkable fact about general relativity is that it admits m
 any exact solutions.&nbsp; This fact can be explained (at least in many cas
 es) by the fact that the dimensional reduction of general relativity to two
  spacetime dimensions is an integrable system.&nbsp;&nbsp; The 2d theory ha
 s an infinite dimensional hidden symmetry called the Geroch group that unde
 rlies its integrability.&nbsp; I will review this story and then describe a
  new exact solution for gravitational pulse wave scattering.&nbsp; The puls
 es maintain their shapes after scattering, as in ordinary soliton scatterin
 g.&nbsp; In the last part of the talk, I will describe evidence for a furth
 er symmetry enhancement in one dimension.&nbsp;&nbsp; This enhanced symmetr
 y is apparently a hyperbolic Kac-Moody algebra, which is an interesting and
  mysterious mathematical object in its own right.</p>
CONTACT:Robert Penna, Institute for Advanced Study, School of Natural Sciences
X-EXTRAINFO:Zoom link https://rutgers.zoom.us/j/93921465287\nMeeting ID: 939 2146 5287\
 nPasscode: 196884, the dimension of the weight 2 homogeneous \nsubspace of 
 the moonshine module
DTSTAMP:20260828T184849
DTSTART;TZID=America/New_York:20220401T121000
DTEND;TZID=America/New_York:20220401T131000
SEQUENCE:0
TRANSP:OPAQUE
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