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BEGIN:VEVENT
SUMMARY:Mattias Jonsson (University of Michigan\, USA)
DTSTART:20201208T130000Z
DTEND:20201208T140000Z
DTSTAMP:20260422T212553Z
UID:Imperial-Conference/1
DESCRIPTION:Title: K-stability from a non-Archimedean perspective.\nby Mattia
s Jonsson (University of Michigan\, USA) as part of Tropical Geometry\, Be
rkovich Spaces\, Arithmetic D-Modules and p-adic Local Systems\n\n\nAbstra
ct\nK-stability was introduced in complex differential geometry as a conje
ctural criterion (the YTD conjecture) for the existence of special Kähler
metrics\, such as Kähler-Einstein metrics\, or constant scalar curvature
Kähler metrics. There has been a great deal of recent activity around K-
stability: the YTD conjecture is solved in many cases\, a nice picture for
K-stable Fano varieties has emerged\, and there is an increased understan
ding of the notion of K-stability itself. In my talk\, I will explain how
K-stability can be viewed through the lens of non-Archimedean geometry. Th
is is based on joint work with Berman\, Blum\, Boucksom\, and Hisamoto.\n
LOCATION:https://researchseminars.org/talk/Imperial-Conference/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:ALEX FINK (Queen Mary University of London\, UK)
DTSTART:20201208T140000Z
DTEND:20201208T150000Z
DTSTAMP:20260422T212553Z
UID:Imperial-Conference/2
DESCRIPTION:Title: Tropical differential equations and their solutions.\nby A
LEX FINK (Queen Mary University of London\, UK) as part of Tropical Geomet
ry\, Berkovich Spaces\, Arithmetic D-Modules and p-adic Local Systems\n\n\
nAbstract\nTropical differential equations were introduced in 2015 by Dima
\nGrigoriev\, whose interest was in the computational complexity of\nfindi
ng the supports of power series solutions of systems of linear\nODEs. The
next year\, Fuensanta Aroca\, Cristhian Garay and Zeinab\nToghani proved
a Fundamental Theorem showing that every tropical\nsolution of a different
ial ideal lifts to a solution over a field.\nI'll present this theory and
some of the developments Zeinab\, I and\nothers have achieved since\, such
as extensions to PDEs and connections\nto Groebner theory.\n
LOCATION:https://researchseminars.org/talk/Imperial-Conference/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:HELENE ESLAULT (Freie Universität Berlin FB Mathematik und Inform
atik\, Germany)
DTSTART:20201208T150000Z
DTEND:20201208T160000Z
DTSTAMP:20260422T212553Z
UID:Imperial-Conference/3
DESCRIPTION:Title: Connections and symmetric differentials.\nby HELENE ESLAUL
T (Freie Universität Berlin FB Mathematik und Informatik\, Germany) as pa
rt of Tropical Geometry\, Berkovich Spaces\, Arithmetic D-Modules and p-ad
ic Local Systems\n\n\nAbstract\nIf X is a smooth complex projective variet
y without differential form\, every local system has finite monodromy (Bru
nebarbe-Klingler-Totaro). In work in progress with Michael Groechenig\, we
develop a positive characteristic analog. We¢ll discuss the rank 2 case
and how ideally it relates to isocrystals.\n
LOCATION:https://researchseminars.org/talk/Imperial-Conference/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Christine Huyghe (Université Strasbourg\, France)
DTSTART:20201209T130000Z
DTEND:20201209T140000Z
DTSTAMP:20260422T212553Z
UID:Imperial-Conference/4
DESCRIPTION:Title: Arithmetic differential operators with overconvergent coeffici
ents.\nby Christine Huyghe (Université Strasbourg\, France) as part o
f Tropical Geometry\, Berkovich Spaces\, Arithmetic D-Modules and p-adic L
ocal Systems\n\n\nAbstract\nThe ring of differential operators with overco
nvergent coefficients plays a central role in Berthelot's theory of arithm
etic D-modules over a formal scheme\, as well as in Caro's theory of overh
olonomic modules. It is constructed over the complement of a divisor of so
me smooth formal scheme. We would like to explain how to do such a constru
ction in the case where we have a non necessary smooth divisorial compacti
fication of some smooth formal scheme.\n
LOCATION:https://researchseminars.org/talk/Imperial-Conference/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Masha Vlasenko (Institute of Mathematics of the Polish Academy of
Sciences\, Warsaw)
DTSTART:20201209T140000Z
DTEND:20201209T150000Z
DTSTAMP:20260422T212553Z
UID:Imperial-Conference/5
DESCRIPTION:Title: Dwork's congruences and p-adic cohomology.\nby Masha Vlase
nko (Institute of Mathematics of the Polish Academy of Sciences\, Warsaw)
as part of Tropical Geometry\, Berkovich Spaces\, Arithmetic D-Modules and
p-adic Local Systems\n\n\nAbstract\nThis talk is about some curious p-adi
c properties of period functions\, that were discovered by Bernard Dwork i
n his work on rationality of zeta functions. I will demonstrate their gene
ralization and explain a cohomological proof. Our proof uses an explicit D
work-style construction of Cartier operation on differential forms on tori
c hypersurfaces. This is joint work with Frits Beukers.\n
LOCATION:https://researchseminars.org/talk/Imperial-Conference/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jeffrey Giansiracusa (Swansea University\, UK)
DTSTART:20201209T150000Z
DTEND:20201209T160000Z
DTSTAMP:20260422T212553Z
UID:Imperial-Conference/6
DESCRIPTION:Title: A general theory of tropical differential equations.\nby J
effrey Giansiracusa (Swansea University\, UK) as part of Tropical Geometry
\, Berkovich Spaces\, Arithmetic D-Modules and p-adic Local Systems\n\n\nA
bstract\nA few years ago Grigoriev introduced the concept of tropicalizati
on of differential equations\, and then Aroca et al. proved that there is
an analogue of the fundamental theorem of tropical geometry\, where any so
lution at the tropical level can be lifted to a classical solution. Unfort
unately\, this theory is limited in its applicability\, since it only work
s with trivial valuations. In this talk I will describe the work of Stefan
o Mereta to build a general framework for tropical differential equations
over non-trivially valued rings\, thus allowing potential applications to
p-adic differential equations. This involves some interesting twists\, suc
h as a tropical variant of the Leibniz rule. We support our theory with a
differential analogue of Payne's inverse limit theorem.\n
LOCATION:https://researchseminars.org/talk/Imperial-Conference/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tomoyuki Abe (Kavli IPMU\, Japan)
DTSTART:20201210T130000Z
DTEND:20201210T140000Z
DTSTAMP:20260422T212553Z
UID:Imperial-Conference/7
DESCRIPTION:Title: Arithmetic D-modules and rigid cohomologies\nby Tomoyuki A
be (Kavli IPMU\, Japan) as part of Tropical Geometry\, Berkovich Spaces\,
Arithmetic D-Modules and p-adic Local Systems\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Imperial-Conference/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wiesława Nizioł (Sorbonne Université IMJ-PRG\, Paris\, France)
DTSTART:20201210T140000Z
DTEND:20201210T150000Z
DTSTAMP:20260422T212553Z
UID:Imperial-Conference/8
DESCRIPTION:Title: Comparison theorems for p-adic analytic varieties.\nby Wie
sława Nizioł (Sorbonne Université IMJ-PRG\, Paris\, France) as part of
Tropical Geometry\, Berkovich Spaces\, Arithmetic D-Modules and p-adic Loc
al Systems\n\n\nAbstract\nI will discuss comparison theorems for p-adic an
alytic varieties proved recently in a joint work with Pierre Colmez. A key
input comes from a fine study of Banach-Colmez spaces appearing in cohomo
logy of analytic varieties.\n
LOCATION:https://researchseminars.org/talk/Imperial-Conference/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Roman Bezrukavnikov (Massachusetts Institute of Technology\, USA)
DTSTART:20201210T150000Z
DTEND:20201210T160000Z
DTSTAMP:20260422T212553Z
UID:Imperial-Conference/9
DESCRIPTION:Title: Derived Cartier transform\, derived Satake equivalence and coh
omology.\nby Roman Bezrukavnikov (Massachusetts Institute of Technolog
y\, USA) as part of Tropical Geometry\, Berkovich Spaces\, Arithmetic D-Mo
dules and p-adic Local Systems\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Imperial-Conference/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kiran S. Kedlaya (University of California\, San Diego\, USA)
DTSTART:20201210T170000Z
DTEND:20201210T180000Z
DTSTAMP:20260422T212553Z
UID:Imperial-Conference/11
DESCRIPTION:Title: Drinfeld's lemma for F-isocrystals.\nby Kiran S. Kedlaya
(University of California\, San Diego\, USA) as part of Tropical Geometry\
, Berkovich Spaces\, Arithmetic D-Modules and p-adic Local Systems\n\nAbst
ract: TBA\n
LOCATION:https://researchseminars.org/talk/Imperial-Conference/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andreas Bode (Ecole Normale Supérieure Lyon\, France)
DTSTART:20201210T170000Z
DTEND:20201210T180000Z
DTSTAMP:20260422T212553Z
UID:Imperial-Conference/12
DESCRIPTION:Title: Bornological D-modules on rigid analytic spaces.\nby Andr
eas Bode (Ecole Normale Supérieure Lyon\, France) as part of Tropical Geo
metry\, Berkovich Spaces\, Arithmetic D-Modules and p-adic Local Systems\n
\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Imperial-Conference/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michel Gros (Université de Rennes 1\, France)
DTSTART:20201210T170000Z
DTEND:20201210T180000Z
DTSTAMP:20260422T212553Z
UID:Imperial-Conference/13
DESCRIPTION:Title: Twisted local Simpson correspondence and crystals on the $q$-
crystalline and prismatic sites.\nby Michel Gros (Université de Renne
s 1\, France) as part of Tropical Geometry\, Berkovich Spaces\, Arithmetic
D-Modules and p-adic Local Systems\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Imperial-Conference/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Christian Liedtke (Universität München\, Germany)
DTSTART:20201210T170000Z
DTEND:20201210T180000Z
DTSTAMP:20260422T212553Z
UID:Imperial-Conference/14
DESCRIPTION:Title: p-adic Tate conjectures and abeloid varieties.\nby Christ
ian Liedtke (Universität München\, Germany) as part of Tropical Geometry
\, Berkovich Spaces\, Arithmetic D-Modules and p-adic Local Systems\n\nAbs
tract: TBA\n
LOCATION:https://researchseminars.org/talk/Imperial-Conference/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tobias Schmidt (Universtité de Rennes\, France)
DTSTART:20201210T170000Z
DTEND:20201210T180000Z
DTSTAMP:20260422T212553Z
UID:Imperial-Conference/15
DESCRIPTION:Title: D-modules and irreducibility results for locally analytic rep
resentations.\nby Tobias Schmidt (Universtité de Rennes\, France) as
part of Tropical Geometry\, Berkovich Spaces\, Arithmetic D-Modules and p-
adic Local Systems\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Imperial-Conference/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Veronika Ertl (Universität Regensburg\, Germany)
DTSTART:20201210T170000Z
DTEND:20201210T180000Z
DTSTAMP:20260422T212553Z
UID:Imperial-Conference/16
DESCRIPTION:Title: Poincaré duality in rigid analytic Hyodo-Kato theory.\nb
y Veronika Ertl (Universität Regensburg\, Germany) as part of Tropical Ge
ometry\, Berkovich Spaces\, Arithmetic D-Modules and p-adic Local Systems\
n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Imperial-Conference/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Richard Crew (University of Florida\, USA)
DTSTART:20201210T170000Z
DTEND:20201210T180000Z
DTSTAMP:20260422T212553Z
UID:Imperial-Conference/17
DESCRIPTION:Title: Integral p-adic cohomology theories.\nby Richard Crew (Un
iversity of Florida\, USA) as part of Tropical Geometry\, Berkovich Spaces
\, Arithmetic D-Modules and p-adic Local Systems\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Imperial-Conference/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Martin Ulirsch (Goethe Universität\, Frankfurt\, Germany)
DTSTART:20201210T170000Z
DTEND:20201210T180000Z
DTSTAMP:20260422T212553Z
UID:Imperial-Conference/18
DESCRIPTION:Title: Non-Archimedean uniformization and tropicalization: Teichmuel
ler space and the moduli space of curves.\nby Martin Ulirsch (Goethe U
niversität\, Frankfurt\, Germany) as part of Tropical Geometry\, Berkovic
h Spaces\, Arithmetic D-Modules and p-adic Local Systems\n\nAbstract: TBA\
n
LOCATION:https://researchseminars.org/talk/Imperial-Conference/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Temkin (Hebrew University of Jerusalem)
DTSTART:20201210T170000Z
DTEND:20201210T180000Z
DTSTAMP:20260422T212553Z
UID:Imperial-Conference/19
DESCRIPTION:Title: Tropical reduction and lifting theorems.\nby Michael Temk
in (Hebrew University of Jerusalem) as part of Tropical Geometry\, Berkovi
ch Spaces\, Arithmetic D-Modules and p-adic Local Systems\n\nAbstract: TBA
\n
LOCATION:https://researchseminars.org/talk/Imperial-Conference/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Annette Werner (Goethe Universität\, Frankfurt\, Germany)
DTSTART:20201210T170000Z
DTEND:20201210T180000Z
DTSTAMP:20260422T212553Z
UID:Imperial-Conference/20
DESCRIPTION:Title: On p-adic vector bundles and local systems.\nby Annette W
erner (Goethe Universität\, Frankfurt\, Germany) as part of Tropical Geom
etry\, Berkovich Spaces\, Arithmetic D-Modules and p-adic Local Systems\n\
nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Imperial-Conference/20/
END:VEVENT
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