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SUMMARY:SAG: Wall-Crossing for K-theoretic Invariants via Non-Abelian Loca
 lization [Seminar Algebraic Geometry (SAG)]
DTSTART:20260108T090000Z
DTEND:20260108T110000Z
DTSTAMP:20260314T225900Z
UID:indico-event-1027@math-events.uni-bonn.de
DESCRIPTION:Speakers: Miguel Moreira\n\nAn important question with many pr
 actical applications in enumerative geometry is to understand how invarian
 ts attached to moduli spaces of sheaves/complexes/quiver representations c
 hange when we vary the stability condition. Wall-crossing for motivic inva
 riants has been a central tool in Donaldson-Thomas theory of Calabi--Yau 3
 -folds. In a non-CY setting\, more recently\, Joyce developed a wall-cross
 ing framework for cohomological invariants and Liu adapted his ideas to K-
 theoretic invariants. In this talk\, I will explain a new approach to such
  wall-crossing formulas and an alternative way to define enumerative invar
 iants in the presence of strictly semistable objects. This new framework e
 xtends the range of wall-crossing formulas we can prove\, allowing us to d
 eal for example with objects in the derived category of sheaves. This is j
 oint work with Ivan Karpov.\n\nhttps://math-events.uni-bonn.de/event/1027/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1027/
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