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UID:20250703T190758EDT-0696XfPJcP@132.216.98.100
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DESCRIPTION: \n\nTitle: Coherent sheaves on the commuting stack\n\nAbstract
 : I will talk about the derived category of the commuting stack of two mat
 rices\, alternatively of the moduli stack of dimension zero sheaves on the
  affine space of dimension two. In previous work\, we constructed semiorth
 ogonal decompositions of this category in smaller categories\, called quas
 i-BPS categories\, which we believed to be indecomposable\, and we compute
 d their (localized equivariant or\n\ntopological) K-theory. In the current
  work\, we compute the quasi-BPS categories. As a corollary\, we prove a c
 onjecture of Negut about relations between Hecke correspondences\, and a c
 onjecture of Gorsky-Negut about the generation of the derived category of 
 the commuting stack. Based on previous joint work with Yukinobu Toda\, we 
 obtain a dimension three version of the Bridgeland-King-Reid and Haiman de
 rived equivalence. This is joint work with Sabin Cautis and Yukinobu Toda 
 (in progress).\n\nLocation: in person at UQAM PK-5675\n\nor online at Zoom
  meeting 86352363947\n\nhttps://can01.safelinks.protection.outlook.com/?ur
 l=https%3A%2F%2Fuqam.zoom.us%2Fj%2F86352363947&data=05%7C02%7Cjackie.castr
 eje%40mcgill.ca%7Cd2fca31f3e514610508b08dccc2612fe%7Ccd31967152e74a68afa9f
 cf8f89f09ea%7C0%7C0%7C638609711109696751%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiM
 C4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C0%7C%7C%7C&sda
 ta=HjQ136udU6LXMpcpqiRMXMVd16mXRGmo4r5p4nDJfvE%3D&reserved=0\n\n \n
DTSTART:20240904T190000Z
DTEND:20240904T200000Z
SUMMARY:Tudor Pădurariu (CNRS-Université Pierre et Marie  Curie-Université 
 Paris Diderot)	
URL:/mathstat/channels/event/tudor-padurariu-cnrs-univ
 ersite-pierre-et-marie-curie-universite-paris-diderot-359267
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