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UID:019a57c39f28908397fac6b411125714
CATEGORIES:Lie Group Quantum Mathematics Seminar
CREATED:20220323T093546
SUMMARY:General Relativity and Integrability
LOCATION:Zoom
DESCRIPTION:Abstract: A remarkable fact about general relativity is that it admits many
  exact solutions.  This fact can be explained (at least in many cases) by t
 he fact that the dimensional reduction of general relativity to two spaceti
 me dimensions is an integrable system.   The 2d theory has an infinite dime
 nsional hidden symmetry called the Geroch group that underlies its integrab
 ility.  I will review this story and then describe a new exact solution for
  gravitational pulse wave scattering.  The pulses maintain their shapes aft
 er scattering, as in ordinary soliton scattering.  In the last part of the 
 talk, I will describe evidence for a further symmetry enhancement in one di
 mension.   This enhanced symmetry is apparently a hyperbolic Kac-Moody alge
 bra, which is an interesting and mysterious mathematical object in its own 
 right.\n
X-ALT-DESC;FMTTYPE=text/html:<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:20260828T210332
DTSTART;TZID=America/New_York:20220401T121000
DTEND;TZID=America/New_York:20220401T131000
SEQUENCE:0
TRANSP:OPAQUE
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