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VERSION:2.0
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METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20260126T235747Z
DTSTART:20260323T150000Z
DTEND:20260323T160000Z
SUMMARY:Manchester Geometry Seminar - Adam Maskalaniec
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}m1ht-mkvtv2
 qj-hrunul
DESCRIPTION:Speaker: Adam Maskalaniec (Warsaw)\n\nTitle: k-contact geomet
 ry in relativistic hydrodynamics\n\n \n\nAbstract: We develop a rigorous
  geometric framework for the study of relativistic spin hydrodynamics\, 
 described by generalized thermodynamic relations. Our approach extends t
 he classical contact geometric description of equilibrium thermodynamics
  by introducing k-contact geometry\, a generalisation of contact geometr
 y to field theories\, providing a natural mathematical language to captu
 re multi-parameter thermodynamic structures that appear in relativistic 
 systems with spin degrees of freedom.\n\n \n\nThe dynamical evolution of
  such systems is described by k-contact Hamiltonian systems\, where the 
 dynamics is constrained to preserve Legendrian submanifolds of the k-con
 tact manifold. Within this setting\, we provide a geometric interpretati
 on of pseudo-gauge transformations\, a feature in dissipative field theo
 ries that leads to non-uniqueness in definitions of energy-momentum tens
 ors. However\, such generalisation carries a fundamental limitation of e
 xisting contact-geometric formulations of thermodynamics\, which are typ
 ically tied to extensive variables.\n\n \n\nMotivated by the scale invar
 iance of relativistic hydrodynamical systems\, we extend this framework 
 to intensive physical systems—those invariant under scaling symmetries—b
 y investigating the conformal symmetries of k-contact systems and associ
 ated reduction procedures. We show that these symmetries modify the k-co
 ntact form while preserving the underlying k-contact distribution. We de
 velop a novel distributional approach to the reduction of k-contact dyna
 mics\, providing a rigorous geometric basis for the transition from exte
 nsive to intensive variables.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams Room 1\, Alan Turing Building\, Manchester
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