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SUMMARY:Jananan Arulseelan (Iowa State University)
DTSTART:20250924T190000Z
DTEND:20250924T200000Z
DTSTAMP:20260420T053211Z
UID:NYC-NCG/205
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/205/
 ">Model Theory and an Ocneanu Ultraproduct for General Von Neumann Algebra
 s</a>\nby Jananan Arulseelan (Iowa State University) as part of Noncommuta
 tive geometry in NYC\n\n\nAbstract\nThe model theories of tracial von Neum
 ann algebras and\, more recently\, sigma-finite von Neumann algebras have 
 led to a large body of work and applications in operator algebras. I will 
 discuss recent work removing the sigma-finiteness condition\, yielding a c
 ompletely general model theory of von Neumann algebras. After reviewing ex
 isting ultraproduct constructions in von Neumann algebras\, I will introdu
 ce and characterize the ultraproduct corresponding to this new framework a
 nd show how it generalizes important properties of the Ocneanu ultraproduc
 t. I will also discuss potential future work. Partially joint work with Go
 ldbring\, Hart\, and Sinclair.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/205/
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