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SUMMARY:Derived Grassmannians and Instantons on Surface Blowups [MPIM]
DTSTART:20260108T140000Z
DTEND:20260108T150000Z
DTSTAMP:20260420T153200Z
UID:indico-event-1024@math-events.uni-bonn.de
DESCRIPTION:Speakers: Qingyuan Jiang (Hong Kong University of Science and 
 Technology (HKUST))\n\nMPI-Oberseminar\nDerived algebraic geometry allows 
 us to extend Grothendieck’s theory of Grassmannians for quasi-coherent s
 heaves to the broader context of connective complexes. The framework of de
 rived Grassmannians provides powerful tools for studying moduli spaces and
  their wall-crossings. Moreover\, it yields unified structural results—f
 or example\, we obtained a single formula for the derived categories of Gr
 assmannians associated to two-term perfect complexes of positive rank.\n 
 \nIn this talk\, I will discuss the representation-theoretic structures un
 derlying these derived Grassmannians. As an application\, I will address a
  question of Vafa–Witten concerning the representation-theoretic interpr
 etation of the blowup formula for instanton moduli spaces on surface blowu
 ps. This is based on joint work with Weiping Li and Yu Zhao.\n \n\nhttps:
 //math-events.uni-bonn.de/event/1024/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1024/
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