BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:The Heisenberg algebra of a vector space and Hochschild homology -
  Timothy Logvinenko\, University of Cardiff
DTSTART:20250430T131500Z
DTEND:20250430T141500Z
UID:TALK229207@talks.cam.ac.uk
CONTACT:Mark Gross
DESCRIPTION:In arXiv:2105.13334\, Gyenge\, Koppensteiner and Logvinenko co
 nstructed a 2-categorification of the Heisenberg algebra of any (possibly 
 noncommutative) smooth projective variety\, and decategorified it via Grot
 hendieck group. In this talk\, I will first give an overview of our 2-cate
 gorification and then explain how to decategorify it via the Hochschild ho
 mology HH_*\, instead. Effectively\, this means extending the decategorifi
 cation map from a lattice in HH_0 to the whole Hochschild homology. The pa
 yoff is a direct generalisation to any smooth projective variety of Grojno
 wski and Nakajima’s original Heisenberg algebra action on the cohomology
  of Hilbert schemes of points on a surface. 
LOCATION:CMS MR13
END:VEVENT
END:VCALENDAR