BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Global Homotopies for HKR Theorems in Differential Geometry [MPIM]
DTSTART:20250522T110000Z
DTEND:20250522T123000Z
DTSTAMP:20260813T052400Z
UID:indico-event-418@math-events.uni-bonn.de
DESCRIPTION:Speakers: Chiara Esposito (Salerno)\n\nPLEASE NOTE CHANGE OF D
 ATE!\nHigher Differential Geometry Seminar\nThe classical Hochschild-Kosta
 nt-Rosenberg (HKR) Theorem in Differential Geometry gives a quasi-isomorph
 ism between the differentiable Hochschild complex of the algebra of smooth
  functions on a manifold and the multivector fields on it. The HKR morphis
 m plays an important role in deformation theory\, as it allows us to study
  existence and classification of deformations of associative algebras. Eve
 n though the HKR Theorem has been known for a long time\, available proofs
  are often of a local nature and are hard to generalize to more structured
  situations. We will present a novel proof for the HKR Theorem using a sym
 bol calculus and a van Est-double complex. This strategy will allow for an
  explicit global homotopy and can easily be adapted to various situations.
 \n\nhttps://math-events.uni-bonn.de/event/418/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/418/
END:VEVENT
END:VCALENDAR