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SUMMARY:Dylan Pentland (Harvard)
DTSTART:20261123T210000Z
DTEND:20261123T220000Z
DTSTAMP:20261115T003413Z
UID:NTBU/61
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTBU/61/">A 
 prismatic Riemann-Hilbert correspondence</a>\nby Dylan Pentland (Harvard) 
 as part of Boston University Number Theory Seminar\n\nLecture held in CDS 
 Room 548 in Boston University.\n\nAbstract\nLet k be a perfect field of ch
 aracteristic p. For smooth k-schemes\, Emerton and Kisin gave a contravari
 ant Riemann-Hilbert correspondence describing constructible F_p sheaves us
 ing Frobenius modules\, with a finiteness condition they call "finitely ge
 nerated unit". \n\nI will explain how to describe the derived category of 
 constructible sheaves for a fixed normal crossings stratification in the l
 ogarithmic setting\, using a new notion of finitely generated unit (varphi
 \,Gamma) modules over a deperfected base. I globalize the correspondence u
 sing log prismatic crystals as developed by Koshikawa and Yao\, and show v
 arious compatibilities such as perverse t-exactness and pushforward compat
 ibility.\n
LOCATION:https://researchseminars.org/talk/NTBU/61/
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