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SUMMARY:Marco Armenta (Université de Sherbrooke\, Sherbrooke)
DTSTART:20210421T200000Z
DTEND:20210421T210000Z
DTSTAMP:20260414T173948Z
UID:BUGeom/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BUGeom/27/">
 Derived invariance of operations in Hochschild theory</a>\nby Marco Arment
 a (Université de Sherbrooke\, Sherbrooke) as part of Boston University Ge
 ometry/Physics Seminar\n\nLecture held in Zoom meeting ID: 953 4652 9200.\
 n\nAbstract\nIn this talk\, I will introduce Hochschild homology and cohom
 ology\, together with the well-known operations cup product and Gerstenhab
 er bracket\, and the not-so-known cap product and Connes differential. I w
 ill explain how all these operations can be interpreted inside the derived
  category of the algebra which allows proving derived invariance of the wh
 ole structure\, known as a Tamarkin-Tsygan calculus or a differential calc
 ulus. Finally\, I will show how this construction is functorial in the alg
 ebra using cyclic homology\, and give an example showing that the Tamarkin
 -Tsygan calculus is not a complete derived invariant\, by means of quivers
  and the Coxeter polynomial. This is joint work with Bernhard Keller.\n
LOCATION:https://researchseminars.org/talk/BUGeom/27/
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