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DTSTART:20181028T020000
TZOFFSETFROM:+0300
TZOFFSETTO:+0200
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DTSTART:20180323T020000
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UID:calendar.57673.field_date.0@mathematics.huji.ac.il
DTSTAMP:20191017T051546Z
CREATED:20180521T084832Z
DESCRIPTION:Date: \n\n11:00am to 12:00pm\n\n\n\n\n\nSee also: Events & Se
minars\, Conferences & special events\, Upcoming Conferences and Special E
ventsLocation: \n\nKaplan building\, Rothberg hall\n\n\n\n\n\n \n\n\n\n\n Le
t X be a variety over F_p . Fix a prime l different from p\, an algebraic
closure \overline{Q_l} of Q_l\, and a p-adic valuation v of the subfield o
f algebraic numbers in \oversline{Q_l} normalized so that v(p)=1. Let M be
a \overline{Q_l}-sheaf on X such that for every closed point x in X the e
igenvalues of the geometric Frobenius acting on M_x are algebraic numbers.
Applying the valuation v to these numbers and dividingby the degree of x
over F_p\, we get a collection of rational numbers\, which are called slop
es of M at x.In a joint work with K.Kedlaya we proved that if X is a smoot
h curve and M is an irreducible local system then for almost all x the gap
s between two consecutive slopes of M at x are not greater than 1. (If M h
as rank 2 then one can even replace “almost all” by “all”\, but in the ran
k 3 case this is false.) This result is equivalent to certain estimates fo
r the p-adic valuations of almost all Hecke eigenvalues of cuspidal automo
rphic representations (in the case of function fields).I will say only a f
ew words about the proof (which is based on the theory of F-isocrystals).
\n\n\n\n poster_wolf_prize_2018.pdf10.9 MB \n\n\nLecturer: \n\nVladimir Dr
infeld (Chicago)\n\n Export\n \n\n \nsubscribe iCal
DTSTART;TZID=Asia/Jerusalem:20180530T110000
DTEND;TZID=Asia/Jerusalem:20180530T120000
LAST-MODIFIED:20180529T120512Z
SUMMARY:Special Wolf Prize lecture: Vladimir Drinfeld (Chicago): Slopes of
irreducible local systems
URL;TYPE=URI:https://mathematics.huji.ac.il/event/special-wolf-prize-lectur
e-vladimir-drinfeld-chicago-slopes-irreducible-local-systems
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