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SUMMARY:Refined Harder-Narasimhan filtrations in moduli theory - Andrés I
 báñez Núñez
DTSTART:20240117T141500Z
DTEND:20240117T151500Z
UID:TALK209401@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:We introduce a notion of refined Harder-Narasimhan filtration\
 , defined abstractly for algebraic stacks satisfying natural conditions. E
 xamples include moduli stacks of objects at the heart of a Bridgeland stab
 ility condition\, moduli stacks of K-semistable Fano varieties\, moduli of
  principal bundles on a curve\, and quotient stacks. We will explain how r
 efined Harder-Narasimhan filtrations are closely related both to stratific
 ations and to the asymptotics of certain analytic flows\, relating and exp
 anding work of Kirwan and Haiden-Katzarkov-Kontsevich-Pandit\, respectivel
 y. In the case of quotient stacks by the action of a torus\, the refined H
 arder-Narasimhan filtration can be computed in terms of convex geometry.
LOCATION:CMS MR13
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