BEGIN:VCALENDAR
VERSION:2.0
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CALSCALE:GREGORIAN
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BEGIN:VEVENT
SUMMARY:Oliver Lorscheid (University of Groningen)
DTSTART:20250708T130000Z
DTEND:20250708T140000Z
DTSTAMP:20260404T131141Z
UID:geo-semirings/1
DESCRIPTION:Title: Toolkit for the algebraic geometer II\nby Oliver Lorschei
d (University of Groningen) as part of Geometry over Semirings\n\nLecture
held in Escola de Doctorat\, UAB.\n\nAbstract\nIn this series of 3 lecture
s\, we explain how to create your favorite geometry from a category of "mo
del spaces". As a first step\, we investigate the process of glueing the m
odel spaces to geometric objects\, such as open balls are glued to manifol
ds and spectra of rings are glued to schemes. The main application in mind
for this conference are semiring schemes.\n\nThis process starts with fir
st principles: the information needed to glue "affine" spaces along open s
ubspaces is the notion of open embeddings\, which is captured nicely in te
rms of covering families. This allows us to mimic the glueing process in t
erms of sheaves for these covering families. This is similar in flavour to
some existing approaches to F1-geometry\, but we simplify and generalize
the existing approaches in this lecture.\n\nAs a secondary step\, we can d
erive a topological space of "underlying points" via Stone duality applied
to the locale of open subobjects\, including its structure sheaf. This re
covers the usual spaces in the case of manifolds and schemes\, and dictate
s what the spectrum of a semiring has to be.\n\nThe lectures are structure
d as follows:\n\n(1) Motivation\, recap on sheaves\, definition of an s-sc
heme.\n\n(2) More on s-schemes\, open subschemes\, Stone duality\, points
of an s-scheme.\n\n(3) Semiring schemes: points as prime ideals\, prime k-
ideals\, secondary topological spaces ("visualizations").\n
LOCATION:https://stable.researchseminars.org/talk/geo-semirings/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Oliver Lorscheid (University of Groningen)
DTSTART:20250710T081000Z
DTEND:20250710T091000Z
DTSTAMP:20260404T131141Z
UID:geo-semirings/2
DESCRIPTION:Title: Toolkit for the algebraic geometer III\nby Oliver Lorsche
id (University of Groningen) as part of Geometry over Semirings\n\nLecture
held in Escola de Doctorat\, UAB.\n\nAbstract\nIn this series of 3 lectur
es\, we explain how to create your favorite geometry from a category of "m
odel spaces". As a first step\, we investigate the process of glueing the
model spaces to geometric objects\, such as open balls are glued to manifo
lds and spectra of rings are glued to schemes. The main application in min
d for this conference are semiring schemes.\n\nThis process starts from fi
rst principles: the information needed to glue "affine" spaces along open
subspaces is the notion of open embeddings\, which is captured nicely in t
erms of covering families. This allows us to mimic the glueing process in
terms of sheaves for these covering families. This is similar in flavour t
o some existing approaches to F1-geometry\, but we simplify and generalize
the existing approaches in this lecture.\n\nAs a secondary step\, we can
derive a topological space of "underlying points" via Stone duality applie
d to the locale of open subobjects\, including its structure sheaf. This r
ecovers the usual spaces in the case of manifolds and schemes\, and dictat
es what the spectrum of a semiring has to be.\n\nThe lectures are structur
ed as follows:\n\n(1) Motivation\, recap on sheaves\, definition of an s-s
cheme.\n\n(2) More on s-schemes\, open subschemes\, Stone duality\, points
of an s-scheme.\n\n(3) Semiring schemes: points as prime ideals\, prime k
-ideals\, secondary topological spaces ("visualizations").\n
LOCATION:https://stable.researchseminars.org/talk/geo-semirings/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mayo Mayo Garcia (University of Warwick)
DTSTART:20250708T093500Z
DTEND:20250708T101500Z
DTSTAMP:20260404T131141Z
UID:geo-semirings/3
DESCRIPTION:Title: Tropical linear series and tropical ideals.\nby Mayo Mayo
Garcia (University of Warwick) as part of Geometry over Semirings\n\nLect
ure held in Escola de Doctorat\, UAB.\n\nAbstract\nOne of the approaches i
n tropical geometry takes a variety embedded in projective space and obtai
ns a polyhedral complex that preserves some relevant information about the
variety. In the case of (abstract) smooth curves\, another tropical appro
ach exists where the dual graph of a semistable model of the curve is take
n as the tropicalization. I will talk about how to relate these two tropic
alizations via the theory of valuated matroids\, some consequences and obs
tructions.\n
LOCATION:https://stable.researchseminars.org/talk/geo-semirings/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:NA
DTSTART:20250707T124500Z
DTEND:20250707T130000Z
DTSTAMP:20260404T131141Z
UID:geo-semirings/4
DESCRIPTION:Title: Registration\nby NA as part of Geometry over Semirings\n\
nLecture held in Escola de Doctorat\, UAB.\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/geo-semirings/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:NA
DTSTART:20250707T130000Z
DTEND:20250707T133000Z
DTSTAMP:20260404T131141Z
UID:geo-semirings/5
DESCRIPTION:Title: Opening remarks\nby NA as part of Geometry over Semirings
\n\nLecture held in Escola de Doctorat\, UAB.\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/geo-semirings/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:NA
DTSTART:20250707T150000Z
DTEND:20250707T163000Z
DTSTAMP:20260404T131141Z
UID:geo-semirings/6
DESCRIPTION:Title: Group formation and discussions\nby NA as part of Geometr
y over Semirings\n\nLecture held in Escola de Doctorat\, UAB.\nAbstract: T
BA\n
LOCATION:https://stable.researchseminars.org/talk/geo-semirings/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sourayan Banerjee (Indian Institute of Technology Kanpur)
DTSTART:20250708T102000Z
DTEND:20250708T110000Z
DTSTAMP:20260404T131141Z
UID:geo-semirings/7
DESCRIPTION:Title: Homotopy equivalence of algebraic K-theory over non-noetheria
n rings\nby Sourayan Banerjee (Indian Institute of Technology Kanpur)
as part of Geometry over Semirings\n\nLecture held in Escola de Doctorat\,
UAB.\n\nAbstract\nThe word “K” in the Algebraic $K$-theory stands for
the German word “Klasse”\, which means\nclass. The Grothendieck group
$K_0(R)$ over any commutative ring with unity $R$ is defined to be the gr
oup completion of the commutative monoid $(\\text{isoP}(R)\, \\bigoplus)$\
, where $\\text{isoP}(R)$ is the collection of all isomorphism classes of
finitely generated \n projective modules over R. Quillen\, in his seminal
work\, defined the higher $K$-groups as higher homotopy groups of a certai
n based topological space. Later\, Waldhausen further generalized it and e
quivalently defined that for any $n \\geq 0$\, $K_n(R) :=\\pi_{n+1} |wS.P(
R)|$. So naturally\, an isomorphism of two $K$-groups means an isomorphism
between\ntheir respective homotopy groups. It was Quillen who first prove
d that $K$-theory is homotopy equivalent if $R$ is regular Noetherian\, i.
e.\, for a regular Noetherian ring $R$\n$K_n(R) \\cong K_n(R[t_1\, t_2\, .
..\, t_m])$\, $\\forall n\, m > 0$.\nBut for non-Noetherian rings\, it was
still unknown until very recently\, Kelly and Morrow proved in [KM21] tha
t the above isomorphism holds for any valuation rings as well.\nIn this ta
lk\, I will primarily present a further generalization of Kelly Morrow’s
result. First\, we will see that if $R$ is locally a valuation ring\, equ
ivalently a Prufer domain\, then the homotopy equivalence holds [BS22]. Mo
reover\, the homotopy equivalence holds for any ring with weak global dime
nsion $\\leq 1$ [BS22]. Now\, the canonical map from $P(R[t]) \\rightarrow
P (R)$\, $t \\mapsto 0$ induces a split surjection $\\phi_*\\colon K_n(R[
t])\\rightarrow K_n(R)$. Thus we find that triviality of $\\ker(\\phi_*)$
results in an isomorphism.\n\nWe will conclude by showing the precise gene
rators of these kernels (even though these kernels\nare infinitely generat
ed) [BS24]\, known as the obstruction groups to homotopy equivalence\,\nwi
th the help of Grayson’s technique [Gra12].\n
LOCATION:https://stable.researchseminars.org/talk/geo-semirings/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Martin Ulirsch (Paderborn University)
DTSTART:20250709T070000Z
DTEND:20250709T080000Z
DTSTAMP:20260404T131141Z
UID:geo-semirings/8
DESCRIPTION:Title: From tropical linear algebra to vector bundles\nby Martin
Ulirsch (Paderborn University) as part of Geometry over Semirings\n\nLect
ure held in Escola de Doctorat\, UAB.\n\nAbstract\nIn this talk I will exp
lain how our perspective on tropical linear algebra shapes our understandi
ng of tropical vector bundles. An elementary approach to this story is bas
ed on tropical matrices. In this case we find an elementary and geometrica
lly appealing theory of tropical vector bundles\, which allows us to give
a satisfying treatment of the process of tropicalization in abelian situat
ions\, e.g. in the case of the Tate curve or for semihomogenous vector bun
dles on abelian varieties. Expanding on these developments\, as a first st
ep towards the more general non-abelian situation\, I will outline a frame
work to functorially tropicalize linear maps between finite-dimensional ve
ctor spaces using the geometry of affine Bruhat--Tits buildings. This will
provide us with a pathway to study the tropical geometry of vector bundle
s on more general base spaces.\n\nMost of the new results in the talk will
be based on joint works with A. Gross and D. Zakharov\; A. Gross\, A. Kuh
rs\, and D. Zakharov\; I. Kaur\, A. Gross\, and A. Werner\; as well as wit
h L. Battistella\, K. Kuehn\, A. Kuhrs\, and A. Vargas.\n
LOCATION:https://stable.researchseminars.org/talk/geo-semirings/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ana María Botero (Bielefeld University)
DTSTART:20250709T081000Z
DTEND:20250709T091000Z
DTSTAMP:20260404T131141Z
UID:geo-semirings/9
DESCRIPTION:Title: On an arithmetic BKK theorem for toric vector bundles\nby
Ana María Botero (Bielefeld University) as part of Geometry over Semirin
gs\n\nLecture held in Escola de Doctorat\, UAB.\n\nAbstract\nClassical New
ton polyhedra theory gives formulas for discrete geometric and topological
invariants (such as the Euler characteristic) of complete intersections i
n the algebraic torus defined by generic Laurent polynomial equations. The
results use mixed volumes and number of lattice points. As a prominent ex
ample\, the Bernštein-Kušnirenko-Khovanskii theorem (BKK theorem) states
that the number of isolated common zeros (counted with multiplicities) of
a family of Laurent polynomials is bounded above by the mixed volume of i
ts Newton polytopes. In this talk\, we will see a generalization of\nthis
result for vector-valued Laurent polynomials using the theory of toric vec
tor bundles. Finally\, we discuss (archimedean and non-archimedean) toric
metrics on toric vector bundles\, and compute compute some local arithmeti
c degrees\, as a first step towards an arithmetic BKK theorerm for toric v
ector bundles. This is joint work with José Burgos\, Kiumars Kaveh and Vi
vek Mallik.\n
LOCATION:https://stable.researchseminars.org/talk/geo-semirings/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Arne Kuhrs (Paderborn University)
DTSTART:20250709T093500Z
DTEND:20250709T101500Z
DTSTAMP:20260404T131141Z
UID:geo-semirings/10
DESCRIPTION:Title: Buildings\, valuated matroids\, and tropical linear spaces\nby Arne Kuhrs (Paderborn University) as part of Geometry over Semiring
s\n\nLecture held in Escola de Doctorat\, UAB.\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/geo-semirings/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alejandro Vargas (University of Warwick)
DTSTART:20250709T102000Z
DTEND:20250709T110000Z
DTSTAMP:20260404T131141Z
UID:geo-semirings/11
DESCRIPTION:Title: The semiring of tropical rational functions over compact tro
pical hypersurfaces\nby Alejandro Vargas (University of Warwick) as pa
rt of Geometry over Semirings\n\nLecture held in Escola de Doctorat\, UAB.
\n\nAbstract\nIn the first half of the talk we review several important fe
atures and properties of semirings of rational functions over metric graph
s\, their connection to divisor theory on metric graphs\, boundedness of s
lopes\, pure dimensionality of the topological realization\, and ways to c
ompute tropical rank. In the second half we report on ongoing work with Di
ego Robayo to generalize to higher dimensions.\n
LOCATION:https://stable.researchseminars.org/talk/geo-semirings/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xavier Xarles (Universitat Autònoma de Barcelona)
DTSTART:20250710T130000Z
DTEND:20250710T140000Z
DTSTAMP:20260404T131141Z
UID:geo-semirings/12
DESCRIPTION:Title: II. Scheme Theory for commutative semirings with kernels
\nby Xavier Xarles (Universitat Autònoma de Barcelona) as part of Geometr
y over Semirings\n\nLecture held in Escola de Doctorat\, UAB.\nAbstract: T
BA\n
LOCATION:https://stable.researchseminars.org/talk/geo-semirings/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xavier Xarles (Universitat Autònoma de Barcelona)
DTSTART:20250708T081000Z
DTEND:20250708T091000Z
DTSTAMP:20260404T131141Z
UID:geo-semirings/13
DESCRIPTION:Title: I. Scheme Theory for commutative semirings with ideals\n
by Xavier Xarles (Universitat Autònoma de Barcelona) as part of Geometry
over Semirings\n\nLecture held in Escola de Doctorat\, UAB.\nAbstract: TBA
\n
LOCATION:https://stable.researchseminars.org/talk/geo-semirings/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alejandro Martínez Méndez (University of Groningen)
DTSTART:20250710T093500Z
DTEND:20250710T101500Z
DTSTAMP:20260404T131141Z
UID:geo-semirings/14
DESCRIPTION:Title: Points on symmetric monoidal categories\nby Alejandro Ma
rtínez Méndez (University of Groningen) as part of Geometry over Semirin
gs\n\nLecture held in Escola de Doctorat\, UAB.\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/geo-semirings/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kevin Kühn (TU Berlin)
DTSTART:20250710T102000Z
DTEND:20250710T110000Z
DTSTAMP:20260404T131141Z
UID:geo-semirings/15
DESCRIPTION:Title: Universal Realizable Matroids over Hyperfields\nby Kevin
Kühn (TU Berlin) as part of Geometry over Semirings\n\nLecture held in E
scola de Doctorat\, UAB.\n\nAbstract\nAfter recalling some basic notions o
f matroids over hyperfields\, we introduce the universal realizable matroi
d. The ground set of this matroid is a whole vector space. We establish a
theory of linear spaces even in this highly infinite case. Of special inte
rest are the cases of the tropical hyperfield\, the sign hyperfield\, and
the signed tropical hyperfield. These correspond to the cases that the gro
und field is equipped with a valuation\, an ordering\, or both. We explici
tly compute the associated linear spaces and show\, that these are exactly
the respective limits of the linear spaces associated to all finite restr
ictions. This is a linear version of Payne's result that the analytificati
on is the limit of all tropicalizations. In the case of the signed tropica
l hyperfield\, we obtain a space of signed seminorms\, similar to the non-
Archimedean analogues of symmetric spaces introduced by Goldman and Iwahor
i.\n
LOCATION:https://stable.researchseminars.org/talk/geo-semirings/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jeffrey Giansiracusa (Durham University)
DTSTART:20250711T070000Z
DTEND:20250711T080000Z
DTSTAMP:20260404T131141Z
UID:geo-semirings/16
DESCRIPTION:Title: Tropical algebra III: universal tropicalisation\, analytific
ation\, and limit theorems\nby Jeffrey Giansiracusa (Durham University
) as part of Geometry over Semirings\n\nLecture held in Escola de Doctorat
\, UAB.\n\nAbstract\nIn 2008 Payne proved that the Berkovich analytificati
on of an affine variety is homeomorphic to the category-theoretic limit of
all of its tropicalisations. We'll explore this phenomenon from the pers
pective of tropical algebra\, bend relations\, and universal objects in ca
tegory theory.\n\nTropicalising a scheme $X$ requires a choice of an embed
ding into a toric variety. The limit of all such embeddings exists as a m
ild generalisation of a toric embedding\, and it can be explicitly describ
ed. The tropicalisation determined by this embedding has a universal prop
erty: it maps to all other tropicalisations. The Berkovich analytificatio
n also has this property\, and the two are in fact homeomorphic.\n\nIf $X
= \\mathrm{spec} \\: A$\, then the Berkovich analytification is the space
of valuations on $A$. If one admits valuations taking values in idempoten
t semirings that are not necessarily totally ordered\, then the category o
f valuations on $A$ has an initial object\, and the target of this univers
al valuation is precisely the algebra corresponding to the universal tropi
calisation.\n
LOCATION:https://stable.researchseminars.org/talk/geo-semirings/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:NA
DTSTART:20250711T093500Z
DTEND:20250711T110000Z
DTSTAMP:20260404T131141Z
UID:geo-semirings/17
DESCRIPTION:Title: Group reports\nby NA as part of Geometry over Semirings\
n\nLecture held in Escola de Doctorat\, UAB.\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/geo-semirings/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stefano Mereta (KTH Stockholm)
DTSTART:20250708T143000Z
DTEND:20250708T151000Z
DTSTAMP:20260404T131141Z
UID:geo-semirings/18
DESCRIPTION:Title: The congruence spectrum of tropical polynomials as the spect
rum of a ring\nby Stefano Mereta (KTH Stockholm) as part of Geometry o
ver Semirings\n\nLecture held in Escola de Doctorat\, UAB.\n\nAbstract\nIn
this talk we will recall the notion of prime congruence on the tropical p
olynomial semiring as introduced by Jóo and Mincheva and prove that the c
ongruence spectrum is anti-homeomorphic to the spectrum of a commutative r
ing obtained as the unit ball of a generalised Bézout valuation. \n\nWe w
ill do so by proving that the space of valuated preorders on the monomials
of K[x1\,…\,xn] (for a valued field K) is homeomorphic to the k-spectru
m of the target of the aformentioned generalised valuation. \n\nThe anti-h
omeomorphism will allow us associate quotients by prime congruences in the
tropical world with localizations by prime ideals in the classical world.
We will conclude by discussing briefly possible applications to the study
of (tropical) ideals of the tropical polynomial semiring.\n
LOCATION:https://stable.researchseminars.org/talk/geo-semirings/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:NA
DTSTART:20250708T151000Z
DTEND:20250708T163000Z
DTSTAMP:20260404T131141Z
UID:geo-semirings/19
DESCRIPTION:Title: Group discussions\nby NA as part of Geometry over Semiri
ngs\n\nLecture held in Escola de Doctorat\, UAB.\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/geo-semirings/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:NA
DTSTART:20250710T143000Z
DTEND:20250710T163000Z
DTSTAMP:20260404T131141Z
UID:geo-semirings/21
DESCRIPTION:Title: Group discussions\nby NA as part of Geometry over Semiri
ngs\n\nLecture held in Escola de Doctorat\, UAB.\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/geo-semirings/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Oliver Lorscheid (University of Groningen)
DTSTART:20250707T140000Z
DTEND:20250707T150000Z
DTSTAMP:20260404T131141Z
UID:geo-semirings/22
DESCRIPTION:Title: Toolkit for the algebraic geometer I\nby Oliver Lorschei
d (University of Groningen) as part of Geometry over Semirings\n\nLecture
held in Escola de Doctorat\, UAB.\n\nAbstract\nIn this series of 3 lecture
s\, we explain how to create your favorite geometry from a category of "mo
del spaces". As a first step\, we investigate the process of glueing the m
odel spaces to geometric objects\, such as open balls are glued to manifol
ds and spectra of rings are glued to schemes. The main application in mind
for this conference are semiring schemes.\n\nThis process starts with fir
st principles: the information needed to glue "affine" spaces along open s
ubspaces is the notion of open embeddings\, which is captured nicely in te
rms of covering families. This allows us to mimic the glueing process in t
erms of sheaves for these covering families. This is similar in flavour to
some existing approaches to F1-geometry\, but we simplify and generalize
the existing approaches in this lecture.\n\nAs a secondary step\, we can d
erive a topological space of "underlying points" via Stone duality applied
to the locale of open subobjects\, including its structure sheaf. This re
covers the usual spaces in the case of manifolds and schemes\, and dictate
s what the spectrum of a semiring has to be.\n\nThe lectures are structure
d as follows:\n\n(1) Motivation\, recap on sheaves\, definition of an s-sc
heme.\n\n(2) More on s-schemes\, open subschemes\, Stone duality\, points
of an s-scheme.\n\n(3) Semiring schemes: points as prime ideals\, prime k-
ideals\, secondary topological spaces ("visualizations").\n
LOCATION:https://stable.researchseminars.org/talk/geo-semirings/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jeffrey Giansiracusa (Durham University)
DTSTART:20250708T070000Z
DTEND:20250708T080000Z
DTSTAMP:20260404T131141Z
UID:geo-semirings/23
DESCRIPTION:Title: Tropical algebra I: congruences\, ideals and bend relations<
/a>\nby Jeffrey Giansiracusa (Durham University) as part of Geometry over
Semirings\n\nLecture held in Escola de Doctorat\, UAB.\n\nAbstract\nThe tr
opical semiring $(\\mathbb{R} \\cup \\infty\, \\mathrm{min}\, +)$ is an in
teresting place to do algebra\, and it is intimately connected to tropical
geometry. In this talk\, I'll introduce tropical polynomials\, ideals\,
congruences\, and how the connection with tropical geometry is made via co
ngruences of bend relations. Tropical geometry and matroid theory are tel
ling us that we should focus attention of a narrow slice of the world of t
ropical algebra. This leads to the theory of tropical ideals (as develope
d by Maclagan and Rincon) and an abundance of interesting open questions.
I will try to summarise what we know and what we don't yet know about tro
pical ideals.\n
LOCATION:https://stable.researchseminars.org/talk/geo-semirings/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jeffrey Giansiracusa (Durham University)
DTSTART:20250710T070000Z
DTEND:20250710T080000Z
DTSTAMP:20260404T131141Z
UID:geo-semirings/24
DESCRIPTION:Title: Tropical algebra II: exterior algebras\, matrix algebras\, a
nd Clifford algebras\nby Jeffrey Giansiracusa (Durham University) as p
art of Geometry over Semirings\n\nLecture held in Escola de Doctorat\, UAB
.\n\nAbstract\nIn this talk we will set aside geometry and focus on tropic
alisation via bend relations as a construction in commutative and non-comm
utative algebra. By starting at the level of tensor algebras\, construct
ions such as symmetric algebras\, exterior algebras\, matrix algebras\, an
d Clifford algebras can be tropicalised.\n\nIn the case of exterior algebr
as\, the resulting tropical notion beautifully completes the picture of th
e Plucker embedding\, and gives a new perspective on the tropical Plucker
relations.\n\nFor matrix algebras and Clifford algebras\, Morita theory be
comes an interesting aspect. I will present some facts and some questions
.\n
LOCATION:https://stable.researchseminars.org/talk/geo-semirings/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xavier Xarles (Universitat Autònoma de Barcelona)
DTSTART:20250711T081000Z
DTEND:20250711T091000Z
DTSTAMP:20260404T131141Z
UID:geo-semirings/25
DESCRIPTION:Title: III. Valuations for semirings and Schemes\nby Xavier Xar
les (Universitat Autònoma de Barcelona) as part of Geometry over Semiring
s\n\nLecture held in Escola de Doctorat\, UAB.\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/geo-semirings/25/
END:VEVENT
END:VCALENDAR