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SUMMARY:Emmy-Noether-Seminar: Deformation Quantization via Categorical
  Factorization Homology
UID:65179dd3-fec5-403d-ad7d-a49b49f5ab3b
DESCRIPTION:Deformation Quantization via Categorical Factorization Hom
 ology Lukas Müller (Perimeter) Abstract: Factorization homology `inte
 grates&#8216\; (higher) categorical structures\, such as representatio
 n categories of Hopf algebras\, VOAs\, or quantum groups\, over manifo
 lds. In my talk\, I will discuss an approach for constructing local-to
 -global deformation quantizations of symplectic manifolds\, such as mo
 duli spaces of flat bundles (character varieties)\, based on factoriza
 tion homology. In this approach\, local quantizations are governed by 
 E_2​-deformations of symmetric monoidal categories\, which\, when in
 tegrated over 2-dimensional manifolds\, lead to Poisson structures and
  deformation quantizations. Applying the general framework to the Drin
 feld category reproduces deformations previously introduced by Li-Blan
 d and Ševera. As a direct consequence\, we can conclude a precise rel
 ation between their quantization and those introduced by Alekseev\, Gr
 osse\, and Schomerus. No prior knowledge of factorization homology wil
 l be assumed. The talk is based on joint work with Eilind Karlsson\, C
 orina Keller\, and Ján Pulmann.
DTSTART:20250110T133000Z
DTEND:20250110T143000Z
LOCATION:04.363
DTSTAMP:20261009T050135Z
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