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SUMMARY:Generators of bounded derived categories in prime characteristics
DTSTART:20231107T141500
DTEND:20231107T160000
DTSTAMP:20260916T045307Z
UID:d8b36178d6b01e927f311837716b1f68f7c73a4b5ae5247c77d7e035
CATEGORIES:Conferences - Seminars
DESCRIPTION:Alapan Mukhopadhyay  (EPFL)\nSince Bondal- van den Bergh’s 
 work on the representability of func-tors\, proving existence of strong ge
 nerators of the bounded derived category ofa scheme has been a central pro
 blem. While for a quasi-excellent\, separatedscheme the existence of stron
 g generators is established\, explicit examples ofsuch generators are not 
 common. In this talk\, we show that explicit generatorscan be produced in 
 prime characteristics using the Frobenius pushforward func-tor. As a conse
 quence\, we will see that for a domain R with finite Frobeniusendomorphism
 \, R1/pn - for large enough n- generates the bounded derived cate-gory of 
 R-modules. This recovers Kunz’s characterization of regularity in termso
 f flatness of Frobenius. Part of the talk is based on a joint work with Ma
 tthewBallard\, Srikanth Iyengar\, Patrick Lank and Josh Pollitz.       
  \n 
LOCATION:CM 1 113 https://plan.epfl.ch/?room==CM%201%20113
STATUS:CONFIRMED
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