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BEGIN:VEVENT
SUMMARY:Denis Auroux (Harvard University)
DTSTART:20210413T150000Z
DTEND:20210413T160000Z
DTSTAMP:20260404T111409Z
UID:UHH-pure-math-Kolloquium/1
DESCRIPTION:Title: An invitation to homological mirror symmetry\n
by Denis Auroux (Harvard University) as part of Kolloquium über Reine Mat
hematik Universität Hamburg\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/UHH-pure-math-Kolloquium
/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sergei Merkulov (Université du Luxembourg)
DTSTART:20210427T150000Z
DTEND:20210427T160000Z
DTSTAMP:20260404T111409Z
UID:UHH-pure-math-Kolloquium/2
DESCRIPTION:Title: On the classification of Kontsevich formality maps
\nby Sergei Merkulov (Université du Luxembourg) as part of Kolloquium
über Reine Mathematik Universität Hamburg\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/UHH-pure-math-Kolloquium
/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bernardo Uribe Jongbloed (Universidad del Norte in Barranquilla)
DTSTART:20210511T150000Z
DTEND:20210511T160000Z
DTSTAMP:20260404T111409Z
UID:UHH-pure-math-Kolloquium/3
DESCRIPTION:Title: Pontrjagin duality on multiplicative gerbes\nb
y Bernardo Uribe Jongbloed (Universidad del Norte in Barranquilla) as part
of Kolloquium über Reine Mathematik Universität Hamburg\n\nAbstract: TB
A\n
LOCATION:https://stable.researchseminars.org/talk/UHH-pure-math-Kolloquium
/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vincent Pecastaing (Université Côte d'Azur)
DTSTART:20210525T150000Z
DTEND:20210525T160000Z
DTSTAMP:20260404T111409Z
UID:UHH-pure-math-Kolloquium/4
DESCRIPTION:Title: Rigidity of higher-rank lattices actions\nby V
incent Pecastaing (Université Côte d'Azur) as part of Kolloquium über R
eine Mathematik Universität Hamburg\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/UHH-pure-math-Kolloquium
/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bruno Klingler (HU Berlin)
DTSTART:20210608T150000Z
DTEND:20210608T160000Z
DTSTAMP:20260404T111409Z
UID:UHH-pure-math-Kolloquium/5
DESCRIPTION:Title: Tame geometry and Hodge theory\nby Bruno Kling
ler (HU Berlin) as part of Kolloquium über Reine Mathematik Universität
Hamburg\n\n\nAbstract\nHodge theory\, as developed by Deligne and Griffith
s\, is one of the main tool for analyzing the geometry and arithmetic of c
omplex algebraic varieties\, that is\, solution sets of algebraic equation
s over the complex numbers. It is an essential fact that at heart\, Hodge
theory is not algebraic but rather transcendent. I will try to describe ho
w tame geometry\, whose idea was introduced by Grothendieck in the 1980s
and was developed by model theorist as o-minimal geometry\, seems to be th
e natural framework to control this transcendence.\n
LOCATION:https://stable.researchseminars.org/talk/UHH-pure-math-Kolloquium
/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mark Gross (Cambridge University)
DTSTART:20210622T150000Z
DTEND:20210622T160000Z
DTSTAMP:20260404T111409Z
UID:UHH-pure-math-Kolloquium/6
DESCRIPTION:Title: Intrinsic Mirror Symmetry\nby Mark Gross (Camb
ridge University) as part of Kolloquium über Reine Mathematik Universitä
t Hamburg\n\n\nAbstract\nMirror symmetry was a phenomenon discovered by ph
ysicists around 1989: they observed that certain kinds of six-dimensional
geometric objects known as Calabi-Yau manifolds seemed to come in pairs\,
with a strange relationship between different kinds of geometric objects o
n the pairs. Since then\, the subject has blossomed into a vast field\, wi
th many different approaches and philosophies. I will give a brief introdu
ction to the subject\, and explain how one of these approaches\, developed
with Bernd Siebert\, has led to a general construction of mirror pairs.\n
LOCATION:https://stable.researchseminars.org/talk/UHH-pure-math-Kolloquium
/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Philip Boalch (Jussieu)
DTSTART:20210629T150000Z
DTEND:20210629T160000Z
DTSTAMP:20260404T111409Z
UID:UHH-pure-math-Kolloquium/7
DESCRIPTION:Title: Diagrams\, wild nonabelian Hodge spaces and global
Lie theory\nby Philip Boalch (Jussieu) as part of Kolloquium über Re
ine Mathematik Universität Hamburg\n\n\nAbstract\nThe classical theory of
systems of linear differential equations in the complex domain morphed\ni
nto the theory of connections on curves\, and then morphed again into "2d
gauge theory"\, a highpoint\nbeing the nonabelian Hodge theorem of Hitchin
-Simpson-Corlette-Donaldson.\nHowever along the way\, a sleight of hand wa
s done: the passage to compact Riemann surfaces\,\nthereby avoiding the tr
icky problem of understanding boundary conditions on noncompact Riemann\ns
urfaces. The good news is that these tricky problems were solved by mathem
aticians working in France some 20 years ago\, a key step being to underst
and the classical papers on irregular singularities.\nThis led to the wild
nonabelian Hodge theorem on curves\, and a huge bestiary of new complete\
nhyperkahler manifolds\, now encompassing the classical examples of integr
able systems stemming\nfrom work of Painleve\, Schlesinger\, Garnier\, Mos
er\, Mumford\, Seiberg-Witten and others. In this\ntalk I'll review/descri
be some of the simplest examples\, sketch how to describe them topological
ly in terms of Stokes local systems (generalising the usual fundamental gr
oup representations) and recent steps to define a theory of ``Dynkin diagr
ams'' to classify these new nonabelian Hodge moduli spaces.\n
LOCATION:https://stable.researchseminars.org/talk/UHH-pure-math-Kolloquium
/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maryna Viazovska (EPF Lausanne)
DTSTART:20210706T150000Z
DTEND:20210706T163000Z
DTSTAMP:20260404T111409Z
UID:UHH-pure-math-Kolloquium/9
DESCRIPTION:Title: The Leech Lattice\nby Maryna Viazovska (EPF La
usanne) as part of Kolloquium über Reine Mathematik Universität Hamburg\
n\n\nAbstract\nThis lecture is about a magical mathematical object -- the
Leech lattice. We will speak about the history of its discovery\, its conn
ections to coding theory\, and the role of the Leech lattice in the search
for sporadic simple groups. Also we will speak about extremal properties
of Leech lattice and its connections to other extremal geometric and combi
natorial structures.\n\nRegister your email for the Gauß-Vorlesung in the
section "6. Juli 2021 Augsburg (online)" on https://www.mathematik.de/dmv
/gauss-vorlesungen\n\nThere is a pre-talk by Juergen Richter-Gebert about
"Spaziergaenge in der vierten Dimension"\n
LOCATION:https://stable.researchseminars.org/talk/UHH-pure-math-Kolloquium
/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nitya Kitchloo (Johns Hopkins University)
DTSTART:20211130T170000Z
DTEND:20211130T180000Z
DTSTAMP:20260404T111409Z
UID:UHH-pure-math-Kolloquium/10
DESCRIPTION:Title: Symmetry breaking and homotopy types for Link hom
ologie\nby Nitya Kitchloo (Johns Hopkins University) as part of Kolloq
uium über Reine Mathematik Universität Hamburg\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/UHH-pure-math-Kolloquium
/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ana Caraiani (Imperial College London)
DTSTART:20220104T160000Z
DTEND:20220104T170000Z
DTSTAMP:20260404T111409Z
UID:UHH-pure-math-Kolloquium/11
DESCRIPTION:Title: Reciprocity laws and torsion classes\nby Ana
Caraiani (Imperial College London) as part of Kolloquium über Reine Mathe
matik Universität Hamburg\n\n\nAbstract\nThe Langlands program is a vast
network of conjectures that connect many areas of pure mathematics\, such
as number theory\, representation theory\, and harmonic analysis. At its h
eart lies reciprocity\, the conjectural relationship between Galois repres
entations and modular\, or automorphic forms.\n\nA famous instance of reci
procity is the modularity of elliptic curves over the rational numbers: th
is was the key to Wiles’s proof of Fermat’s last theorem. I will give
an overview of some recent progress in the Langlands program\, with a focu
s on new reciprocity laws over imaginary quadratic fields.\n
LOCATION:https://stable.researchseminars.org/talk/UHH-pure-math-Kolloquium
/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alastair King (University of Bath)
DTSTART:20220111T160000Z
DTEND:20220111T170000Z
DTSTAMP:20260404T111409Z
UID:UHH-pure-math-Kolloquium/12
DESCRIPTION:Title: Categorification of perfect matchings\nby Ala
stair King (University of Bath) as part of Kolloquium über Reine Mathemat
ik Universität Hamburg\n\n\nAbstract\nI will explain how treating perfect
matchings as modules leads to improved understanding of some of the combi
natorics of Grassmannian cluster algebras\, which I will also explain. Gen
eral knowledge about cluster algebras will not be assumed (or required).\n
LOCATION:https://stable.researchseminars.org/talk/UHH-pure-math-Kolloquium
/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Petra Schwer (OVGU Magdeburg)
DTSTART:20220118T160000Z
DTEND:20220118T170000Z
DTSTAMP:20260404T111409Z
UID:UHH-pure-math-Kolloquium/13
DESCRIPTION:Title: Building bridges between Geometry and Algebra
\nby Petra Schwer (OVGU Magdeburg) as part of Kolloquium über Reine Mathe
matik Universität Hamburg\n\n\nAbstract\nDisclaimer: This talk is meant t
o be accessible. So don't shy away because of unfamiliar words.\n\nGroups
like GL_n\, SL_n or SP_n play an important role in many areas of mathemat
ics. It has bee known for a long time that some of their properties (when
studied over the reals or complex numbers) are best understood via the ass
ociated symmetric spaces. Jaques Tits later introduced buildings as a tool
to study the respective groups over other field and developed\, together
with Bruhat\, a theory that also captures reductive groups evaluated over
non-archimedian local fields with discrete valuation\, like the p-adic num
bers.\n\nIn this talk I will explain how some of the subgroup structures o
f such a reductive group over a non-Archimedian local field can be explain
ed via Coxeter combinatorics and the geometry of an (affine) Bruhat-Tits b
uilding\, its apartments and retractions. The building for example simulta
neously encodes the (affine) flag variety and (affine) Grassmannian associ
ated to the group. But it also permits to explain more complicated structu
res such as representation theoretic data or other associated varieties in
purely combinatorial terms.\n\nThe underlying structure of a building is
Coxeter groups and their associated Coxeter complex. A simplicial complex
on which the groups act in a good way. We will discuss some of the combina
torial properties of Coxeter groups and buildings and explain how they can
be used to study varieties attached to the mentioned algebraic groups. We
will do so by looking at two examples: nonemptiness and dimensions of af
fine Deligne Lusztig varieties (ADLVs) can be computed with the help of Co
xeter group combinatorics. The ADLVs are sub-varieties of the affine flag
variety of an algebraic group. And their nonemptiness can be stated in ter
ms of galleries and their retracted images in the associated Bruhat-Tits b
uilding. In addition we will talk about the problem of exact computation o
f reflection length in affine Coxeter groups. Here reflection length means
the minimal number of elements needed to write a given element as a produ
ct of reflections. Surprisingly this notion is closely related to dimensio
ns of an ADLV.\n
LOCATION:https://stable.researchseminars.org/talk/UHH-pure-math-Kolloquium
/13/
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