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SUMMARY:Adeel Khan (Academia Sinica)
DTSTART;VALUE=DATE-TIME:20220909T190000Z
DTEND;VALUE=DATE-TIME:20220909T200000Z
DTSTAMP;VALUE=DATE-TIME:20230331T084535Z
UID:agstanford/94
DESCRIPTION:Title: An invitation to motivic sheaves (part 1)\nby Adeel Khan (Academia
Sinica) as part of Stanford algebraic geometry seminar\n\n\nAbstract\nThe
se lectures will be an introduction to Voevodsky's theory of motivic sheav
es. In the first lecture we will try to understand what the theory is sup
posed to look like\, according to Beilinson's 1985 conjectures. To better
appreciate these we will briefly review some of the ideas that influenced
him\, such as Grothendieck's theory of pure motives and Deligne's theory
of mixed Hodge structures (i.e.\, why motives?)\, and the six functor form
alism on l-adic sheaves (i.e.\, why sheaves?). In the second lecture\, we
will begin looking into Voevodsky's work on actually constructing categor
ies of motivic sheaves\, as well as the connection with invariants like Ch
ow groups and algebraic K-theory.\n\nDespite the seemingly forbidding natu
re of the topic\, these lectures are intended for an audience with familia
rity with basic algebraic geometry\, but no familiarity with any of the ad
vanced topics being addressed.\n\nThe synchronous discussion for Adeel Kha
n’s talk is taking place not in zoom-chat\, but at https://tinyurl.com/2
022-09-09-ak (and will be deleted after ~2 weeks).\n
LOCATION:https://researchseminars.org/talk/agstanford/94/
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