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BEGIN:VEVENT
SUMMARY:Jordan Ellenberg (U. Wisconsin - Madison)
DTSTART:20210915T150000Z
DTEND:20210915T160000Z
DTSTAMP:20260424T101122Z
UID:TMScolloquium/1
DESCRIPTION:Title: Upper Bounds for Rational Points\nby Jordan Ellenberg (U. Wiscon
sin - Madison) as part of Turkish Math Society - Distinguished Colloquium
Series\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/TMScolloquium/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rahul Pandharipande (ETH Zurich)
DTSTART:20211013T150000Z
DTEND:20211013T160000Z
DTSTAMP:20260424T101122Z
UID:TMScolloquium/2
DESCRIPTION:Title: Algebraic curves\, Hurwitz covers and meromorphic differentials\
nby Rahul Pandharipande (ETH Zurich) as part of Turkish Math Society - Dis
tinguished Colloquium Series\n\n\nAbstract\nHurwitz's paper ''Ueber die An
zahl der Riemannischen Flächen mit gegebenen Verzweigungspunkten'' (1901)
started the study of the enumeration of branched coverings of the Riemann
sphere. Though more than a century has passed now\, there have been many
recent developments in the subject that Hurwitz opened. I will explain new
results and perspectives on Hurwitz numbers\, Hurwitz moduli spaces\, and
related constructions concerning meromorphic differentials.\n
LOCATION:https://researchseminars.org/talk/TMScolloquium/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wilhelm Schlag (Yale)
DTSTART:20211215T160000Z
DTEND:20211215T170000Z
DTSTAMP:20260424T101122Z
UID:TMScolloquium/3
DESCRIPTION:Title: Asymptotic stability for the sine-Gordon kink under odd perturbation
s via super-symmetry\nby Wilhelm Schlag (Yale) as part of Turkish Math
Society - Distinguished Colloquium Series\n\n\nAbstract\nKinks are exampl
es of topological solitons in classical field theory. They have been studi
ed for decades\, mostly by methods of complete integrability such as the i
nverse scattering transform. One of the most basic models\, known as phi^4
\, is not accessible to these techniques and much less is known even about
the most basic object of nonzero charge: the kink in one spatial dimensio
n. I will describe the recent asymptotic analysis with Jonas Luehrmann (T
AMU) of the sine-Gordon evolution of odd data near the kink. While sine-Go
rdon is completely integrable\, we do not rely on this property. The talk
will present some background on classical fields and the history of the pr
oblem.\n
LOCATION:https://researchseminars.org/talk/TMScolloquium/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nizar Touzi (Ecole Polytechnique)
DTSTART:20211110T160000Z
DTEND:20211110T170000Z
DTSTAMP:20260424T101122Z
UID:TMScolloquium/4
DESCRIPTION:Title: The propagation of chaos for the multiple optimal stopping problem\nby Nizar Touzi (Ecole Polytechnique) as part of Turkish Math Society -
Distinguished Colloquium Series\n\n\nAbstract\nThe optimal stopping probl
em of $N$ particles deriven by interacting diffusion processes can be char
acterized by a cascade of obstacle Cauchy problems. The limiting problem i
s an optimal stopping problem of a McKean-Vlasov diffusion with criterion
defined as a function of the law of the stopped process. The corresponding
dynamic programming equation is an obstacle problem on the Wasserstein sp
ace\, and is obtained by means of a general Itô formula for flows of marg
inal laws of càdlàg semimartingales. We provide a verification result wh
ich characterizes the nature of optimal stopping policies\, highlighting t
he crucial need to randomized stopping. We also introduce a notion of visc
osity solutions on the Wassertsein space which allows to characterize the
value function\, and we prove a result of propagation of chaos by adapting
the monotone scheme convergence argument.\n
LOCATION:https://researchseminars.org/talk/TMScolloquium/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Steph Van Willigenburg (UBC)
DTSTART:20220112T160000Z
DTEND:20220112T170000Z
DTSTAMP:20260424T101122Z
UID:TMScolloquium/5
DESCRIPTION:Title: The (3+1)-free conjecture of chromatic symmetric functions\nby S
teph Van Willigenburg (UBC) as part of Turkish Math Society - Distinguishe
d Colloquium Series\n\n\nAbstract\nThe chromatic symmetric function\, dati
ng from 1995\, is a generalization of the chromatic polynomial. A famed co
njecture on it\, called the Stanley-Stembridge (3+1)-free conjecture\, has
been the focus of much research lately. In this talk we will be introduce
d to the chromatic symmetric function\, the (3+1)-free conjecture\, new ca
ses and tools for resolving it\, and answer another question of Stanley of
whether the (3+1)-free conjecture can be widened. This talk requires no p
rior knowledge.\n
LOCATION:https://researchseminars.org/talk/TMScolloquium/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joel Tropp (Caltech)
DTSTART:20220209T170000Z
DTEND:20220209T180000Z
DTSTAMP:20260424T101122Z
UID:TMScolloquium/6
DESCRIPTION:by Joel Tropp (Caltech) as part of Turkish Math Society - Dist
inguished Colloquium Series\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/TMScolloquium/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alessio Figalli (ETH Zurich)
DTSTART:20220323T150000Z
DTEND:20220323T160000Z
DTSTAMP:20260424T101122Z
UID:TMScolloquium/7
DESCRIPTION:Title: Quantitative Stability in Geometric and Functional Inequalities\
nby Alessio Figalli (ETH Zurich) as part of Turkish Math Society - Disting
uished Colloquium Series\n\n\nAbstract\nGeometric and functional inequalit
ies play a crucial role in several problems arising in analysis and geomet
ry. Proving the validity of such inequalities\, and understanding the stru
cture of minimizers\, is a classical and important question. In this talk\
, I will overview this beautiful topic and discuss some recent results.\n
LOCATION:https://researchseminars.org/talk/TMScolloquium/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amie Wilkinson (U. Chicago)
DTSTART:20220615T150000Z
DTEND:20220615T160000Z
DTSTAMP:20260424T101122Z
UID:TMScolloquium/9
DESCRIPTION:Title: Asymmetry in dynamics\nby Amie Wilkinson (U. Chicago) as part of
Turkish Math Society - Distinguished Colloquium Series\n\n\nAbstract\nThe
origins of the subject of dynamical systems lie in classical mechanics\,
in the study of such fundamental problems as the stability of the solar sy
stem. A theme that traces back to Noether's theorem is that symmetries in
such physical systems must occur for a reason: for example\, if the motio
n of a system does not depend on position in space\, then there must be a
conserved quantity\, such as angular momentum. I will discuss\, in the b
roader contexts of modern dynamics\, how this theme expands and reoccurs i
n beautiful ways: on the one hand\, a typical object has the minimum amoun
t of symmetry possible\, and on the other hand\, a little extra symmetry i
mplies a lot of symmetry\, a phenomenon known as rigidity.\n
LOCATION:https://researchseminars.org/talk/TMScolloquium/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Karen Uhlenbeck (UT Austin)
DTSTART:20220518T150000Z
DTEND:20220518T160000Z
DTSTAMP:20260424T101122Z
UID:TMScolloquium/10
DESCRIPTION:Title: The Noether Theorems\, Then and Now\nby Karen Uhlenbeck (UT Aus
tin) as part of Turkish Math Society - Distinguished Colloquium Series\n\n
\nAbstract\nNew link:\nhttps://boun-edu-tr.zoom.us/j/91793428382?pwd=U0l2S
zJmY2dvYUg2MDlPLyt1eDBQQT09\n
LOCATION:https://researchseminars.org/talk/TMScolloquium/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mete Soner (Princeton University)
DTSTART:20220920T160000Z
DTEND:20220920T170000Z
DTSTAMP:20260424T101122Z
UID:TMScolloquium/11
DESCRIPTION:Title: Optimal Control\nby Mete Soner (Princeton University) as part o
f Turkish Math Society - Distinguished Colloquium Series\n\n\nAbstract\nSt
arting with the moon-landing problem\, the mathematical theory of optimal
control has been fully developed and found numerous applications not only
in engineering but also in many subfields of social sciences. In particul
ar\, in economics and quantitative finance\, stochastic optimal control ha
s become a central modeling tool\, and is the starting point for many mod
ern learning algorithms. The unifying paradigm is decisions under uncerta
inty and one imagines that a rational decision maker is guided by an appro
priate control problem. In this talk\, after describing the structure of
the general problem\, I will outline the powerful solution technique based
on dynamic programming. Several applications such as the Kalman filter u
sed in automated machines\, Merton’s problem for optimal investment dec
isions and the Ellsberg experiment for uncertainty will also be discussed.
I will conclude with the new developments and the questions.\n
LOCATION:https://researchseminars.org/talk/TMScolloquium/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bjorn Poonen (MIT)
DTSTART:20221018T133000Z
DTEND:20221018T143000Z
DTSTAMP:20260424T101122Z
UID:TMScolloquium/12
DESCRIPTION:Title: Undecidability in number theory\nby Bjorn Poonen (MIT) as part
of Turkish Math Society - Distinguished Colloquium Series\n\n\nAbstract\nH
ilbert's tenth problem asked for an algorithm that\, given a multivariable
polynomial equation with integer coefficients\, would decide whether ther
e exists a solution in integers. Around 1970\,\nMatiyasevich\, building o
n earlier work of Davis\, Putnam\, and Robinson\, showed that no such algo
rithm exists. But the answer to the analogous question with integers repl
aced by rational numbers is still unknown\, and there is not even agreemen
t among experts as to what the answer should be.\n
LOCATION:https://researchseminars.org/talk/TMScolloquium/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Isabel Vogt (Brown U.)
DTSTART:20221115T150000Z
DTEND:20221115T160000Z
DTSTAMP:20260424T101122Z
UID:TMScolloquium/13
DESCRIPTION:Title: Interpolation problems for curves\nby Isabel Vogt (Brown U.) as
part of Turkish Math Society - Distinguished Colloquium Series\n\n\nAbstr
act\nThe interpolation problem is one of the oldest in mathematics. In it
s most broad form it asks: when can a curve of a given type be passed thro
ugh a given number of points? I'll survey work on the interpolation probl
em from Euclid to the modern day\, ending with recent joint work of mine w
ith Eric Larson.\n
LOCATION:https://researchseminars.org/talk/TMScolloquium/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maria Chudnovsky (Princeton U.)
DTSTART:20221220T160000Z
DTEND:20221220T170000Z
DTSTAMP:20260424T101122Z
UID:TMScolloquium/14
DESCRIPTION:Title: Induced Subgraphs and Tree Decompositions\nby Maria Chudnovsky
(Princeton U.) as part of Turkish Math Society - Distinguished Colloquium
Series\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/TMScolloquium/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Larry Guth (MIT)
DTSTART:20230120T160000Z
DTEND:20230120T170000Z
DTSTAMP:20260424T101122Z
UID:TMScolloquium/15
DESCRIPTION:Title: Introduction to decoupling in Fourier analysis\nby Larry Guth (
MIT) as part of Turkish Math Society - Distinguished Colloquium Series\n\n
\nAbstract\nDecoupling is a recent development in Fourier analysis which h
as led to solutions of a number of longstanding problems in harmonic analy
sis\, PDE\, and analytic number theory. In this talk\, we will try to giv
e a broad introduction to the subject. We'll start by describing an old p
roblem from analytic number theory which has been solved using decoupling.
Then we will describe some of the tools of the proof.\n
LOCATION:https://researchseminars.org/talk/TMScolloquium/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ingrid Daubechies (Duke)
DTSTART:20230209T160000Z
DTEND:20230209T170000Z
DTSTAMP:20260424T101122Z
UID:TMScolloquium/16
DESCRIPTION:Title: Postponed due to Earthquake\nby Ingrid Daubechies (Duke) as par
t of Turkish Math Society - Distinguished Colloquium Series\n\n\nAbstract\
nPostponed due to earthquake in Turkey. We will announce the new time soon
.\n
LOCATION:https://researchseminars.org/talk/TMScolloquium/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mihalis Dafermos (Princeton)
DTSTART:20230314T150000Z
DTEND:20230314T160000Z
DTSTAMP:20260424T101122Z
UID:TMScolloquium/17
DESCRIPTION:Title: The mathematics of black holes in general relativity\nby Mihali
s Dafermos (Princeton) as part of Turkish Math Society - Distinguished Col
loquium Series\n\n\nAbstract\nI will discuss some of the main mathematical
problems surrounding black holes in general relativity\, including issues
of their stability and the structure of the spacetime singularities which
they hide inside. No previous familiarity with general relativity will b
e assumed.\n
LOCATION:https://researchseminars.org/talk/TMScolloquium/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kathryn Hess (EPFL)
DTSTART:20230419T140000Z
DTEND:20230419T150000Z
DTSTAMP:20260424T101122Z
UID:TMScolloquium/18
DESCRIPTION:Title: A Topologist’s Adventures in Neuroscience\nby Kathryn Hess (E
PFL) as part of Turkish Math Society - Distinguished Colloquium Series\n\n
\nAbstract\nOver the past several years\, research at the interface of top
ology and neuroscience has grown remarkably fast. Topology has\, for examp
le\, been successfully applied to objective classification of neuron morph
ologies and to automatic detection of network dynamics. In this talk I wil
l focus primarily on the algebraic topology of brain structure and functio
n\, describing results obtained by members of my lab in collaboration with
the Blue Brain Project on digitally reconstructed microcircuits of neuron
s in the rat cortex. I will also describe our on-going work on the topolog
y of synaptic plasticity. The talk will include a brief overview of the Bl
ue Brain Project.\n
LOCATION:https://researchseminars.org/talk/TMScolloquium/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ciprian Maneloscu (Stanford)
DTSTART:20230511T170000Z
DTEND:20230511T180000Z
DTSTAMP:20260424T101122Z
UID:TMScolloquium/19
DESCRIPTION:Title: Khovanov homology and four-dimensional topology\nby Ciprian Man
eloscu (Stanford) as part of Turkish Math Society - Distinguished Colloqui
um Series\n\n\nAbstract\nOver the last forty years\, most progress in four
-dimensional topology came from gauge theory and related invariants. Khova
nov homology is an invariant of knots in R^3 of a different kind: its cons
truction is combinatorial\, and connected to ideas from representation the
ory. There is hope that it can tell us more about smooth 4-manifolds\; for
example\, Freedman\, Gompf\, Morrison and Walker suggested a strategy to
disprove the 4D Poincare conjecture using Rasmussen’s invariant from Kho
vanov homology. It is yet unclear whether their strategy can work. I will
explain a new attempt to pursue it (joint work with Lisa Piccirillo) and s
ome of the challenges we encountered. I will also review other topological
applications of Khovanov homology.\n
LOCATION:https://researchseminars.org/talk/TMScolloquium/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yiannis Sakellaridis (Johns Hopkins U.)
DTSTART:20230913T130000Z
DTEND:20230913T140000Z
DTSTAMP:20260424T101122Z
UID:TMScolloquium/20
DESCRIPTION:Title: Perspectives on automorphic L-functions\nby Yiannis Sakellaridi
s (Johns Hopkins U.) as part of Turkish Math Society - Distinguished Collo
quium Series\n\n\nAbstract\nL-functions\, which are generalizations of the
Riemann zeta function\, play a role in some of the deepest conjectures in
mathematics. A huge step in their understanding was undertaken in the lat
e '60s and '70s by Robert Langlands\, who gave a general definition of aut
omorphic L-functions\, and conjectured that they contain all the L-functio
ns arising from Galois theory and arithmetic geometry. Still\, the true na
ture of these complex-analytic functions which contain crucial arithmetic
information remained a mystery.\n\nIn this talk\, I will review various in
carnations of L-functions associated to number fields or function fields\,
premised on 2 paradigms: On one hand\, the cohomological interpretation o
f the zeta functions of varieties over finite fields ("the Galois side")\,
and\, on the other\, Riemann's interpretation of the zeta function as a M
ellin transform of a theta series ("the automorphic side"). I will then sk
etch a correspondence between the two paradigms\, based on joint work with
David Ben-Zvi and Akshay Venkatesh\, based on a conjectural duality betwe
en Hamiltonian spaces\, with ramifications that extend into mathematical p
hysics.\n
LOCATION:https://researchseminars.org/talk/TMScolloquium/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ingrid Daubechies (Duke U.)
DTSTART:20231206T150000Z
DTEND:20231206T160000Z
DTSTAMP:20260424T101122Z
UID:TMScolloquium/21
DESCRIPTION:Title: Old-fashioned Machine Learning: Using Diffusion Methods to Learn Un
derlying Structure\nby Ingrid Daubechies (Duke U.) as part of Turkish
Math Society - Distinguished Colloquium Series\n\n\nAbstract\nMany dataset
s consist of complex items that can be reasonably surmised to lie on a man
ifold of much lower dimension than the number of parameters or coordinates
with which the individual items are acquired. \n\nManifold diffusion is a
n established method\, used successfully to parametrize such datasets much
more succinctly. The talk describes an enhancement of this method: when e
ach individual item is itself a complex object\, as is the case in many ap
plications\, one can model the collection as a fiber bundle\, and build a
fiber bundle diffusion operator from which one can gradually learn propert
ies of the underlying base manifold. This will be illustrated with applica
tions to morphological evolutionary studies in biology.\n
LOCATION:https://researchseminars.org/talk/TMScolloquium/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tobias Colding (MIT)
DTSTART:20231115T140000Z
DTEND:20231115T150000Z
DTSTAMP:20260424T101122Z
UID:TMScolloquium/22
DESCRIPTION:Title: Geometry of PDEs\nby Tobias Colding (MIT) as part of Turkish Ma
th Society - Distinguished Colloquium Series\n\n\nAbstract\nOptimal geomet
ric structures and the evolution of shapes are governed by partial differe
ntial equations. These same types of equations come up over and over again
across many diverse areas in science\, engineering\, and mathematics. The
geometric invariance makes the equations canonical and means that they al
so describe phenomena seemingly unrelated to geometry. Often the geometry
unlocks the structure of the equation and leads to fundamental tools in PD
E. Conversely\, analysis has played a central role in the development of g
eometry. Understanding the equations and their fundamental properties requ
ires simultaneous insight into both analysis and geometry and the interpla
y between the two. \n\nIn this talk\, we will discuss this principle for s
everal fundamental equations. We start by seeing how a long-standing probl
em in geometry leads to optimal regularity for viscosity solutions of a de
generate elliptic PDE\, then turn to using PDE to understand optimal shape
s and geometric evolution.\n
LOCATION:https://researchseminars.org/talk/TMScolloquium/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Brendan Hassett (Brown U.)
DTSTART:20231018T130000Z
DTEND:20231018T140000Z
DTSTAMP:20260424T101122Z
UID:TMScolloquium/23
DESCRIPTION:Title: Rationality criteria for hypersurfaces\nby Brendan Hassett (Bro
wn U.) as part of Turkish Math Society - Distinguished Colloquium Series\n
\n\nAbstract\nAn algebraic variety is rational if it admits a birational p
arametrization by affine space. Stereographic projections of spheres are e
xamples. We still do not know which cubic hypersurfaces are rational! We s
urvey recent results - using classical geometry\, Hodge theory\, and newer
techniques like derived categories - as well as natural open questions.\
n
LOCATION:https://researchseminars.org/talk/TMScolloquium/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Edriss Titi (U. Cambridge - Texas A&M)
DTSTART:20240208T140000Z
DTEND:20240208T150000Z
DTSTAMP:20260424T101122Z
UID:TMScolloquium/24
DESCRIPTION:Title: Recent Advances Concerning the Navier-Stokes and Euler Equations\nby Edriss Titi (U. Cambridge - Texas A&M) as part of Turkish Math Socie
ty - Distinguished Colloquium Series\n\n\nAbstract\nIn this talk\, I will
discuss some recent progress concerning the Navier-Stokes and Euler equati
ons of incompressible fluid. In particular\, issues concerning the lack of
uniqueness using the convex integration machinery and their physical rele
vance. Moreover\, I will show the universality of the critical 1/3 Hölder
exponent\, conjectured by Onsager for the preservation of energy in Euler
equations\, by extending the Onsager conjecture for the preservation of g
eneralized entropy in general conservation laws. In addition\, I will pre
sent a blow-up criterion for the 3D Euler equations based on a class of in
viscid regularization for these equations and the effect of physical bound
aries on the potential formation of singularity.\n
LOCATION:https://researchseminars.org/talk/TMScolloquium/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ana Caraiani (Imperial College)
DTSTART:20240312T130000Z
DTEND:20240312T140000Z
DTSTAMP:20260424T101122Z
UID:TMScolloquium/25
DESCRIPTION:Title: Elliptic curves and modularity\nby Ana Caraiani (Imperial Colle
ge) as part of Turkish Math Society - Distinguished Colloquium Series\n\n\
nAbstract\nThe goal of this talk is to give you a glimpse of the Langlands
program\, a central topic at the intersection of algebraic number theory\
, algebraic geometry and representation theory. I will focus on a celebrat
ed instance of the Langlands correspondence\, namely the modularity of ell
iptic curves. In the first part of the talk\, I will give an explicit exam
ple\, discuss the different meanings of modularity for rational elliptic c
urves\, and mention applications. In the second part of the talk\, I will
discuss what is known about the modularity of elliptic curves over more ge
neral number fields.\n
LOCATION:https://researchseminars.org/talk/TMScolloquium/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nassif Ghoussoub (UBC)
DTSTART:20240409T150000Z
DTEND:20240409T160000Z
DTSTAMP:20260424T101122Z
UID:TMScolloquium/26
DESCRIPTION:Title: Mass transport\, Kantorovich operators and their ergodic properties
\nby Nassif Ghoussoub (UBC) as part of Turkish Math Society - Distingu
ished Colloquium Series\n\n\nAbstract\nThe notion of a non-linear Kantorov
ich operator was motivated by the celebrated duality in the mass transport
problem\, hence the name. In retrospect\, we realized that they -and thei
r iterates- were omnipresent in several branches of analysis\, even those
that are focused on linear Markov operators and their semi-groups such as
classical ergodic theory\, potential theory\, and probability theory. The
Kantorovich operators that appear in these cases\, though non-linear\, are
all positively 1-homogenous rendering most classical operations on measur
es and functions conducted in these theories ``cost-free”. General Kanto
rovich operators arise when one assigns "a cost" to such operations. \n\n
Kantorovich operators are also Choquet capacities and are the ``least non-
linear" extensions of Markov operators\, which make them a relatively ``ma
nageable” subclass of non-linear maps. Motivated by the stochastic count
erpart of Aubry-Mather theory for Lagrangian systems and Fathi-Mather weak
KAM theory\, as well as ergodic optimization of dynamical systems\, we ex
hibit the asymptotic properties of general Kantorovich operators.\n
LOCATION:https://researchseminars.org/talk/TMScolloquium/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Judith V. Grabiner (Pitzer College)
DTSTART:20240523T150000Z
DTEND:20240523T160000Z
DTSTAMP:20260424T101122Z
UID:TMScolloquium/27
DESCRIPTION:Title: Space: Where Sufficient Reason Isn’t Enough\nby Judith V. Gra
biner (Pitzer College) as part of Turkish Math Society - Distinguished Col
loquium Series\n\n\nAbstract\nEuclid’s Elements is the most influential
textbook in the history of western civilization\, a model\nof reasoning no
t only in mathematics but in philosophy\, theology\, and politics. But Euc
lid’s\ngeometry rests on postulates\, one of which didn’t seem self-ev
ident from the start.\nMathematicians kept trying to prove that postulate\
, especially\, as we’ll see\, Lagrange. But\nmeanwhile\, the unchallenge
d authority of the Euclidean ideal was used by people like Newton\,\nVolta
ire\, Euler\, and Lagrange to support the Enlightenment world-view.\n\nIn
the nineteenth century\, though\, non-Euclidean geometries challenged the
authority of\nmathematics\, undermined fundamental philosophical and cultu
ral ideas\, and had a hand in the\nbirth of modernism. Challenges came not
only from scientists like Gauss\, Lobachevsky\,\nHelmholtz\, and Einstein
\, but also from artists and philosophers. This story illustrates both how
\nculture helps shape mathematics and how mathematics has shaped the moder
n world.\n
LOCATION:https://researchseminars.org/talk/TMScolloquium/27/
END:VEVENT
END:VCALENDAR