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UID:20260602T200440EDT-8217fPZsCe@132.216.98.100
DTSTAMP:20260603T000440Z
DESCRIPTION:Title: On Harder-Narasimhan data and the Central Limit Theorem.
 \n\nAbstract: Starting with the work of Harder and Narasimhan\, the concep
 t of canonical (Harder and Narasimhan) filtration emerged as a fundamental
  tool for measuring the extent to which a given object in a suitable categ
 ory fails to be slope semistable. In this lecture\, I will discuss an abst
 ract concept of Harder and Narasimhan data which I formulated as a tool fo
 r expanding on the key technical techniques of Codogni and Patakfalvi\, wh
 ich arise in their work on weak positivity of the CM line bundle over the 
 moduli stack of K-semistable Fano varieties. Another source of motivation 
 is Grayson's lattice reduction theory via slope semistability. Finally\, v
 ia theory of Faltings and Wustholz\, for slope semistabilty of filtered ve
 ctor spaces\, there is a strong overlap with techniques from Diophantine a
 pproximation for linear series. As application of this circle of ideas\, I
  will explain a recent result which gives a filtered vector space analogue
  to the above mentioned key technical result of Codogni and Patakfalvi.\n
 \nVenue\n\nUQAM\, Salle PK-5115\, 201 Ave du Président-Kennedy\, Montréal\
 , QC\, H2X3Y7\n\nalso available by Zoom - https://www.crmath.ca/en/activit
 ies/#/type/seminar/id/20035\n\n \n
DTSTART:20230224T160000Z
DTEND:20230224T170000Z
SUMMARY:Nathan Grieve (Carleton University / Collège militaire royal / UQAM
 )
URL:/mathstat/channels/event/nathan-grieve-carleton-un
 iversity-college-militaire-royal-uqam-346318
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