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BEGIN:VEVENT
SUMMARY:Bhargav Bhatt (University of Michigan)
DTSTART;VALUE=DATE-TIME:20200618T160000Z
DTEND;VALUE=DATE-TIME:20200618T172000Z
DTSTAMP;VALUE=DATE-TIME:20200812T042352Z
UID:RAMpAGe/1
DESCRIPTION:Title: A p-adic Riemann-Hilbert functor and applications\nby B
hargav Bhatt (University of Michigan) as part of Recent Advances in Modern
p-Adic Geometry (RAMpAGe)\n\n\nAbstract\nI will discuss an ongoing projec
t (joint with Jacob Lurie) aiming to construct a p-adic Riemann-Hilbert fu
nctor\, attaching coherent objects to constructible sheaves (with coeffici
ents in F_p\, Z_p or Q_p) on a compact algebraic variety over a p-adic fie
ld. I'll focus on the case of F_p-coefficients\, which leads to a solution
of some old questions in commutative algebra.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sean Howe (University of Utah)
DTSTART;VALUE=DATE-TIME:20200625T160000Z
DTEND;VALUE=DATE-TIME:20200625T172000Z
DTSTAMP;VALUE=DATE-TIME:20200812T042352Z
UID:RAMpAGe/2
DESCRIPTION:Title: A p-adic transcendence criterion for CM Galois represen
tations\nby Sean Howe (University of Utah) as part of Recent Advances in M
odern p-Adic Geometry (RAMpAGe)\n\n\nAbstract\nWe show that a crystalline
Galois representation with rational de Rham lattice admits a slope filtrat
ion with abelian isoclinic subquotients. As a corollary\, we find that a $
p$-divisible group over $\\mathcal{O}_{\\mathbb{C_p}}$ has complex multipl
ication if and only if it can be defined over a complete discretely valued
subfield and its Hodge-Tate filtration is algebraic -- this is a $p$-adic
analog of classical transcendence results for complex abelian varieties d
ue to Schneider\, Cohen\, and Shiga-Wolfart. More generally\, we character
ize the special points of the diamond moduli of mixed-characteristic local
shtuka with one paw as those with algebraic Hodge-Tate and de Rham period
s. The corresponding archimedean transcendence results for Shimura varieti
es fit into a broader framework of bialgebraicity that plays an important
role in the Andre-Oort conjecture\, and\, time permitting\, we discuss som
e ideas of what this might look like in the $p$-adic setting.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peter Scholze (University of Bonn / MPIM)
DTSTART;VALUE=DATE-TIME:20200716T160000Z
DTEND;VALUE=DATE-TIME:20200716T172000Z
DTSTAMP;VALUE=DATE-TIME:20200812T042352Z
UID:RAMpAGe/3
DESCRIPTION:Title: Prismatic crystals and crystalline Galois representatio
ns\nby Peter Scholze (University of Bonn / MPIM) as part of Recent Advance
s in Modern p-Adic Geometry (RAMpAGe)\n\n\nAbstract\nLet $K$ be a complete
discrete valuation field of mixed\ncharacteristic with perfect residue fi
eld. We prove that F-crystals on\nthe prismatic site of $\\mathcal{O}_K$ a
re equivalent to lattices in crystalline\n$G_K$-representations. (joint wi
th Bhargav Bhatt)\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wiesława Nizioł (Sorbonne / IMJ)
DTSTART;VALUE=DATE-TIME:20200730T160000Z
DTEND;VALUE=DATE-TIME:20200730T172000Z
DTSTAMP;VALUE=DATE-TIME:20200812T042352Z
UID:RAMpAGe/4
DESCRIPTION:Title: p-adic étale cohomology of period domains\nby Wiesław
a Nizioł (Sorbonne / IMJ) as part of Recent Advances in Modern p-Adic Geo
metry (RAMpAGe)\n\n\nAbstract\nI will show how to compute $p$-adic étale
cohomology with compact support of period domains over local fields in the
case of a basic isocrystal for quasi-split reductive groups. This follow
the method used by Orlik in his computations of the $\\ell$-adic étale co
homology using as a key new input the computation of Ext groups between mo
d-$p$ generalized Steinberg representations of $p$-adic groups. This is a
joint work with Colmez\, Dospinescu\, and Hauseux.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shizhang Li (University of Michigan)
DTSTART;VALUE=DATE-TIME:20200702T160000Z
DTEND;VALUE=DATE-TIME:20200702T172000Z
DTSTAMP;VALUE=DATE-TIME:20200812T042352Z
UID:RAMpAGe/5
DESCRIPTION:Title: Some examples and results on integral p-adic Hodge filt
rations\nby Shizhang Li (University of Michigan) as part of Recent Advance
s in Modern p-Adic Geometry (RAMpAGe)\n\n\nAbstract\nGiven a smooth proper
scheme over a mixed characteristic DVR\, we try to understand to what ext
ent the special fiber knows the Hodge numbers of the generic fiber. I'll p
rovide some examples as well as a theorem showing that in "good" situation
s some numbers defined purely using the special fiber actually give the Ho
dge numbers of the generic fiber. This naturally leads to consideration of
Breuil-Kisin prismatic cohomology\, and I'll describe an example which il
lustrates certain pathological behavior of Hodge-Tate and Hodge-de Rham sp
ectral sequences in mixed characteristic situations.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bogdan Zavyalov (Stanford)
DTSTART;VALUE=DATE-TIME:20200723T170000Z
DTEND;VALUE=DATE-TIME:20200723T182000Z
DTSTAMP;VALUE=DATE-TIME:20200812T042352Z
UID:RAMpAGe/6
DESCRIPTION:Title: Mod-p Poincaré duality in p-adic geometry\nby Bogdan Z
avyalov (Stanford) as part of Recent Advances in Modern p-Adic Geometry (R
AMpAGe)\n\n\nAbstract\nÉtale cohomology of $\\mathbf{F}_p$-local systems
does not behave nicely on general smooth p-adic rigid-analytic spaces\; e
.g.\, the $\\mathbf{F}_p$-cohomology of the 1-dimensional closed unit ball
is infinite. However\, it turns out that things are much better for prope
r p-adic rigid-analytic spaces. For example\, Scholze used perfectoid spac
es to show that proper p-adic rigid-analytic spaces have finite cohomology
for any $\\mathbf{F}_p$-local system. Based on Gabber's idea\, I will int
roduce the concept of almost coherent sheaves and use it to “localize”
(in an appropriate sense) some problems in the étale cohomology of rigid
-analytic spaces. For example\, this theory (together with perfectoid spac
es) can be used to give a "new" proof of the finiteness theorem and a proo
f of Poincaré duality for p-torsion coefficients on smooth and proper p-a
dic rigid-analytic spaces.\n\nThis is work in progress.\n\nPlease note tha
t this talk begins one hour later than the usual time.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ana Caraiani (Imperial)
DTSTART;VALUE=DATE-TIME:20200806T160000Z
DTEND;VALUE=DATE-TIME:20200806T172000Z
DTSTAMP;VALUE=DATE-TIME:20200812T042352Z
UID:RAMpAGe/7
DESCRIPTION:Title: A comparison theorem for ordinary p-adic modular forms\
nby Ana Caraiani (Imperial) as part of Recent Advances in Modern p-Adic Ge
ometry (RAMpAGe)\n\n\nAbstract\nI will discuss joint work in progress with
Elena Mantovan and James Newton\, whose goal is to compare ordinary compl
eted cohomology with (higher) Hida theory\, in the special case of the mod
ular curve. Both these notions go back to Hida\, though the former can be
reinterpreted using Emerton’s functor of ordinary parts applied to compl
eted cohomology\, and the latter has been redeveloped and expanded recentl
y by Boxer and Pilloni to incorporate higher coherent cohomology. Our work
gives a new proof to a theorem of Ohta\, that is perhaps more amenable to
generalisation. The key ingredients are the Bruhat stratification on the
Hodge-Tate period domain\, and the integral comparison results pioneered b
y Bhatt\, Morrow and Scholze.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Charlotte Chan (MIT)
DTSTART;VALUE=DATE-TIME:20200709T160000Z
DTEND;VALUE=DATE-TIME:20200709T172000Z
DTSTAMP;VALUE=DATE-TIME:20200812T042352Z
UID:RAMpAGe/8
DESCRIPTION:Title: L-packets of S-unramified regular supercuspidal represe
ntations\nby Charlotte Chan (MIT) as part of Recent Advances in Modern p-A
dic Geometry (RAMpAGe)\n\n\nAbstract\nIn 2001\, Yu gave an algebraic const
ruction of supercuspidal\nrepresentations of p-adic groups (now known to b
e exhaustive when the\nresidual characteristic is sufficiently large---Kim
\, Fintzen). There\nhas since been a lot of progress towards explicitly co
nstructing the\nlocal Langlands correspondence: Kazhdan-Varshavsky and DeB
acker-Reeder\n(depth zero)\, Reeder and DeBacker-Spice (unramified toral)\
, and\nKaletha (regular supercuspidals). In this talk\, we present recent
and\nongoing work investigating a geometric counterpart to this story. Thi
s\nis based on joint work with Alexander Ivanov and joint work with Masao\
nOi.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Richard Magner (Boston University)
DTSTART;VALUE=DATE-TIME:20200813T160000Z
DTEND;VALUE=DATE-TIME:20200813T172000Z
DTSTAMP;VALUE=DATE-TIME:20200812T042352Z
UID:RAMpAGe/9
DESCRIPTION:Title: On the Cohomology of Moduli of Mixed Characteristic Sht
ukas\nby Richard Magner (Boston University) as part of Recent Advances in
Modern p-Adic Geometry (RAMpAGe)\n\n\nAbstract\nWe review mixed characteri
stic shtukas and their moduli. These generalize the Lubin-Tate tower and o
ther Rapoport-Zink spaces. Under the Kottwitz conjecture\, the cohomology
of these spaces are expected to realize the local Langlands correspondenc
e. The data defining these spaces involve cocharacters of a Lie group\;
when the cocharacter is minuscule\, we recover classical Rapoport-Zink spa
ces. In the case of $\\mathrm{GL}_n$\, we show that the Kottwitz conjectu
re for general cocharacters can be reduced to the minuscule case. This de
pends on a geometric Satake equivalence for the $B_{\\mathrm{dR}}$-affine
Grassmanian\, due to Fargues and Scholze\, and a formula of Imai on cohomo
logy derived from it.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Robert Cass (Harvard University)
DTSTART;VALUE=DATE-TIME:20200820T160000Z
DTEND;VALUE=DATE-TIME:20200820T172000Z
DTSTAMP;VALUE=DATE-TIME:20200812T042352Z
UID:RAMpAGe/10
DESCRIPTION:by Robert Cass (Harvard University) as part of Recent Advances
in Modern p-Adic Geometry (RAMpAGe)\n\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eva Viehmann (TU Munchen)
DTSTART;VALUE=DATE-TIME:20200903T160000Z
DTEND;VALUE=DATE-TIME:20200903T172000Z
DTSTAMP;VALUE=DATE-TIME:20200812T042352Z
UID:RAMpAGe/11
DESCRIPTION:by Eva Viehmann (TU Munchen) as part of Recent Advances in Mod
ern p-Adic Geometry (RAMpAGe)\n\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Miaofen Chen (East China Normal University)
DTSTART;VALUE=DATE-TIME:20200910T150000Z
DTEND;VALUE=DATE-TIME:20200910T162000Z
DTSTAMP;VALUE=DATE-TIME:20200812T042352Z
UID:RAMpAGe/12
DESCRIPTION:by Miaofen Chen (East China Normal University) as part of Rece
nt Advances in Modern p-Adic Geometry (RAMpAGe)\n\nAbstract: TBA\n\nPlease
note that this talk is one hour earlier than usual.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ian Gleason (Berkeley)
DTSTART;VALUE=DATE-TIME:20201001T160000Z
DTEND;VALUE=DATE-TIME:20201001T172000Z
DTSTAMP;VALUE=DATE-TIME:20200812T042352Z
UID:RAMpAGe/13
DESCRIPTION:by Ian Gleason (Berkeley) as part of Recent Advances in Modern
p-Adic Geometry (RAMpAGe)\n\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lue Pan (University of Chicago)
DTSTART;VALUE=DATE-TIME:20200827T160000Z
DTEND;VALUE=DATE-TIME:20200827T172000Z
DTSTAMP;VALUE=DATE-TIME:20200812T042352Z
UID:RAMpAGe/14
DESCRIPTION:by Lue Pan (University of Chicago) as part of Recent Advances
in Modern p-Adic Geometry (RAMpAGe)\n\nAbstract: TBA\n
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