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BEGIN:VEVENT
DTSTAMP:20261022T105323Z
DTSTART:20261026T150000Z
DTEND:20261026T160000Z
SUMMARY:Fraser Sanders: Infinite-dimensional thermodynamic systems 
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}od0-mvck30j
 j-pfgfef
DESCRIPTION:Abstract:\n\nContact geometry is a very natural setting in wh
 ich to study thermodynamics\, due to the fact that the first law of ther
 modynamics\, dS=dU/T \, can be thought of as constraining the dynamics o
 f a system to a contact distribution in 3 dimensions\, defined by the ke
 rnel of the contact 1-form \\eta=dS - (1/T)dU \, and then many interesti
 ng properties of thermodynamic systems arise from the non-holonomic cons
 traints.\n\nIn recent months (due to Boris Khesin\, Manuel de León\, mys
 elf\, and others) there has been an increasing interest in infinite-dime
 nsional contact and non-holonomic systems\, and their associated dynamic
 s. Both because there are many infinite-dimensional physical systems tha
 t are dissipative in nature\, and hence well-suited to being modelled by
  contact dynamics\, and because there are some systems\, such as Black H
 oles\, which are supposed to be thermodynamic systems\, but which have s
 uch high degrees of freedom that they may also be modelled in infinite-d
 imensions (ignoring the No-Hair Theorem\, at least…).\n\nIn this talk I 
 will discuss infinite-dimensional contact structures\, their associated 
 Hamiltonian mechanics\, and how we can use these concepts to try to just
 ify talking about so-called infinite-dimensional thermodynamic systems. 
 Time-permitting (meaning\, if I can write the result down in the coming 
 week) I will discuss Ricci flow as an example of such a system\, as a st
 epping-stone towards Black Hole thermodynamics. Other examples include t
 he damped wave equation\, and the heat equation. 
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams room 1\, Alan Turing Building\, Manchester
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