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SUMMARY:Noemie Combe (University of Warsaw)
DTSTART:20250219T200000Z
DTEND:20250219T210000Z
DTSTAMP:20260420T053211Z
UID:NYC-NCG/185
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/185/
 ">Quantum Information Geometry and the Connes–Araki–Haagerup Cones</a>
 \nby Noemie Combe (University of Warsaw) as part of Noncommutative geometr
 y in NYC\n\n\nAbstract\nThe profound interplay between von Neumann algebra
 s and quantum field theory has increasingly highlighted their importance i
 n higher category theory and topology. A central insight emerges from Tomi
 ta–Takesaki theory\, which studies the modular automorphism groups of vo
 n Neumann algebras. Using techniques from affine differential geometry\, w
 e establish an explicit connection between the Connes–Araki–Haagerup c
 ones—objects invariant under modular operators—and geometric structure
 s intrinsic to the axiomatization of 2D topological quantum field theory (
 TQFT).\n\nWe demonstrate that these strictly convex symmetric cones posses
 s a pre-Frobenius structure and contain a submanifold satisfying the Witte
 n–Dijkgraaf–Verlinde–Verlinde (WDVV) equation\, thereby forming a Fr
 obenius submanifold. This result reveals new and concrete relationships be
 tween objects invariant under modular operators and low-dimensional TQFTs\
 , with additional implications for quantum information geometry.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/185/
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