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SUMMARY:Nathan Grieve (Carleton University)
DTSTART:20230224T160000Z
DTEND:20230224T171500Z
DTSTAMP:20260423T005719Z
UID:CIRGET/89
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/89/">
 On Harder-Narasimhan data and the Central Limit Theorem</a>\nby Nathan Gri
 eve (Carleton University) as part of CRM - Séminaire du CIRGET / Géomét
 rie et Topologie\n\nLecture held in PK-5115.\n\nAbstract\nStarting with th
 e work of Harder and Narasimhan\, the concept of canonical (Harder and Nar
 asimhan) filtration emerged as a fundamental tool for measuring the extent
  to which a given object in a suitable category fails to be slope semistab
 le.  In this lecture\, I will discuss an abstract concept of Harder and Na
 rasimhan data which I formulated as a tool for expanding on the key techni
 cal techniques of Codogni and Patakfalvi\, which arise in their work on we
 ak positivity of the CM line bundle over the moduli stack of K-semistable 
 Fano varieties.  Another source of motivation is Grayson's lattice reducti
 on theory via slope semistability.  Finally\, via theory of Faltings and W
 ustholz\, for slope semistabilty of filtered vector spaces\, there is a st
 rong overlap with techniques from Diophantine approximation for linear ser
 ies.  As application of this circle of ideas\, I will explain a recent res
 ult which gives a filtered vector space analogue to the above mentioned ke
 y technical result of Codogni and Patakfalvi.\n
LOCATION:https://researchseminars.org/talk/CIRGET/89/
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