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BEGIN:VEVENT
SUMMARY:David Eisenbud (MSRI and University of California\, Berkeley)
DTSTART;VALUE=DATE-TIME:20210203T160000Z
DTEND;VALUE=DATE-TIME:20210203T170000Z
DTSTAMP;VALUE=DATE-TIME:20240328T134121Z
UID:IPMIsfahan/1
DESCRIPTION:Title: The Problem of Subtraction in Algebraic Geometry and Commutative Algebr
a\nby David Eisenbud (MSRI and University of California\, Berkeley) as
part of IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nSome curves in
3-space can be realized as the intersections of two surfaces\; for example
\, the intersection of two quadric (= degree 2) hypersurfaces containing a
line in common has another component\, which can be thought of as the int
ersection minus the line. The invariants of that other component can be co
mputed from this information: it must be a curve of degree 3 and genus 0.
In commutative algebra\, subtractions appear as ideal quotients\, and rais
e other interesting questions\, some very subtle. Such problems have been
studied for more than 100 years. I'll discuss the origins of this theory o
f "residual intersections"\, and some of the modern developments in algebr
aic geometry and commutative algebra.\n
LOCATION:https://researchseminars.org/talk/IPMIsfahan/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Keith Taylor (Dalhousie University\, Canada)
DTSTART;VALUE=DATE-TIME:20210217T123000Z
DTEND;VALUE=DATE-TIME:20210217T133000Z
DTSTAMP;VALUE=DATE-TIME:20240328T134121Z
UID:IPMIsfahan/2
DESCRIPTION:Title: Groups of Affine Transformations\, Convolution Idempotents\, and Wavele
t Transforms\nby Keith Taylor (Dalhousie University\, Canada) as part
of IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nThe classical continu
ous wavelet transform has a wide array of applications in harmonic analysi
s\, function theory\, and signal processing. Higher dimensional analogs\,
such as the shearlet transform fmd similar applications\, including in ima
ge processing. In this talk\, we will explore the role that the unitary re
presentations of certain groups of affme transformations played in the dis
covery of many different wavelet-like transfonnations. The concept of a se
lf-adjoint convolution idempotent will provide an intermediate step.\n
LOCATION:https://researchseminars.org/talk/IPMIsfahan/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Laurent Lafforgue (IHES (Institut des Hautes Etudes Scientifiques)
)
DTSTART;VALUE=DATE-TIME:20210421T120000Z
DTEND;VALUE=DATE-TIME:20210421T133000Z
DTSTAMP;VALUE=DATE-TIME:20240328T134121Z
UID:IPMIsfahan/3
DESCRIPTION:Title: The creative power of categories: elements of History and some new pers
pectives\nby Laurent Lafforgue (IHES (Institut des Hautes Etudes Scien
tifiques)) as part of IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nTh
e notion of category and the basic language of category theory (functors\,
natural transformation of functors\, limits\, colimits\, adjoint functors
\,...) are very recent in History and may seem too simple and too general.
\n\nHowever\, it has been proved repeatedly - especially by Grothendieck a
nd his followers - that these simple notions can be transformed into very
powerful means of creation of new mathematics.\n\nThe purpose of this talk
will be to present some of the most powerful category-based ideas and the
ories introduced by Grothendieck. Some emphasis will be given to the notio
n of topos\, which Grothendieck considered its most important idea (togeth
er with the idea of motive) and which recently has been given new impetus
by Italian mathematician Olivia Caramello's "technique of toposes as bridg
es".\n
LOCATION:https://researchseminars.org/talk/IPMIsfahan/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Efim Zelmanov (UCSD Math)
DTSTART;VALUE=DATE-TIME:20210526T150000Z
DTEND;VALUE=DATE-TIME:20210526T160000Z
DTSTAMP;VALUE=DATE-TIME:20240328T134121Z
UID:IPMIsfahan/4
DESCRIPTION:Title: Panorama of Algebra in the 20th Century\nby Efim Zelmanov (UCSD Mat
h) as part of IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nThe talk w
ill present a broad overview of Abstract Algebra from\nGalois to our time\
n
LOCATION:https://researchseminars.org/talk/IPMIsfahan/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amnon Neeman (ANU)
DTSTART;VALUE=DATE-TIME:20210623T110000Z
DTEND;VALUE=DATE-TIME:20210623T120000Z
DTSTAMP;VALUE=DATE-TIME:20240328T134121Z
UID:IPMIsfahan/5
DESCRIPTION:Title: Approximable triangulated categories and applications\nby Amnon Nee
man (ANU) as part of IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nMee
ting ID: 944 5190 5973\nPasscode: 210623\n
LOCATION:https://researchseminars.org/talk/IPMIsfahan/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Christophe Ritzenthaler (University of Rennes 1 and University Cô
te d’Azur)
DTSTART;VALUE=DATE-TIME:20210922T130000Z
DTEND;VALUE=DATE-TIME:20210922T140000Z
DTSTAMP;VALUE=DATE-TIME:20240328T134121Z
UID:IPMIsfahan/6
DESCRIPTION:Title: Fun with Curves\nby Christophe Ritzenthaler (University of Rennes 1
and University Côte d’Azur) as part of IPM-Isfahan Mathematics Colloqu
ium\n\n\nAbstract\nIn 1985\, Jean-Pierre Serre gave a series of lectures a
t Harvard about the maximal number of rational points on curves over finit
e fields. In my talk\, I will tell about the motivations to study such pro
blem and\, through 3 snapshots\, show recent research directions.\n
LOCATION:https://researchseminars.org/talk/IPMIsfahan/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:M. Shahryari (Sultan Qaboos)
DTSTART;VALUE=DATE-TIME:20220804T063000Z
DTEND;VALUE=DATE-TIME:20220804T073000Z
DTSTAMP;VALUE=DATE-TIME:20240328T134121Z
UID:IPMIsfahan/7
DESCRIPTION:Title: Logical generation of groups\nby M. Shahryari (Sultan Qaboos) as pa
rt of IPM-Isfahan Mathematics Colloquium\n\nAbstract: TBA\n\nMeeting ID: 9
24 2491 5361\nPasscode: 623781\n
LOCATION:https://researchseminars.org/talk/IPMIsfahan/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Caucher Birkar (Tsinghua Univ. & University of Cambridge)
DTSTART;VALUE=DATE-TIME:20220907T063000Z
DTEND;VALUE=DATE-TIME:20220907T073000Z
DTSTAMP;VALUE=DATE-TIME:20240328T134121Z
UID:IPMIsfahan/8
DESCRIPTION:Title: Moduli of Algebraic Varieties\nby Caucher Birkar (Tsinghua Univ. &
University of Cambridge) as part of IPM-Isfahan Mathematics Colloquium\n\n
\nAbstract\nModuli spaces play a fundamental role in algebraic geometry an
d well beyond. These spaces are essentially spaces parameterising collecti
ons of varieties with certain invariants fixed. I this talk I discuss exis
tence of compact moduli spaces for algebraic varieties in a quite general
context.\n\nMeeting ID: 982 9030 0451\nPasscode: 076334\n
LOCATION:https://researchseminars.org/talk/IPMIsfahan/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrea Solotar (Universidad de Buenos Aires & President of the CDC
(from 2023))
DTSTART;VALUE=DATE-TIME:20221012T123000Z
DTEND;VALUE=DATE-TIME:20221012T133000Z
DTSTAMP;VALUE=DATE-TIME:20240328T134121Z
UID:IPMIsfahan/9
DESCRIPTION:Title: Activities of the Commission for Developing Countries of the Internatio
nal Mathematical Union\nby Andrea Solotar (Universidad de Buenos Aires
& President of the CDC (from 2023)) as part of IPM-Isfahan Mathematics Co
lloquium\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/IPMIsfahan/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mohammad Farazmand (North Carolina State University)
DTSTART;VALUE=DATE-TIME:20221026T123000Z
DTEND;VALUE=DATE-TIME:20221026T133000Z
DTSTAMP;VALUE=DATE-TIME:20240328T134121Z
UID:IPMIsfahan/10
DESCRIPTION:Title: Prediction and Quantification of Rare Extreme Events in Dynamical Syst
ems\nby Mohammad Farazmand (North Carolina State University) as part o
f IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nRare extreme events ca
use loss of human lives\, displacement of populations\, erosion of the env
ironment and billions of dollars in damages. Examples include tsunamis\, w
ildfires\, earthquakes\, and climate transitions. Understanding the root c
auses of such events and their real-time forecast allows us to optimize ou
r response management plans\, resource allocation and mitigation strategie
s\, hence minimizing their financial\, humanitarian and environmental harm
. I will first present an overview of state-of-the-art research on rare ex
treme events. Then I'll discuss some recent advances in understanding and
predicting these events in dynamical systems which are described by nonlin
ear ordinary or partial differential equations. Finally\, I will present
several applications\, such as rogue waves\, climate change and wildfires\
, where methods from dynamical systems have recently made significant cont
ributions to our understanding of rare events\n
LOCATION:https://researchseminars.org/talk/IPMIsfahan/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Robertz (RWTH Aachen Univ.\, Germany)
DTSTART;VALUE=DATE-TIME:20221123T133000Z
DTEND;VALUE=DATE-TIME:20221123T143000Z
DTSTAMP;VALUE=DATE-TIME:20240328T134121Z
UID:IPMIsfahan/11
DESCRIPTION:Title: An Introduction to Janet Bases and Thomas Decomposition and their App
lications to PDEs\nby Daniel Robertz (RWTH Aachen Univ.\, Germany) as
part of IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nIn a first part\
, we give an introduction to Janet bases as distinguished generating sets
for polynomial ideals. These sets are particular cases of Gröbner bases a
nd involutive bases. We introduce a notion of generalized Hilbert series w
ith several applications: determining invariants of an ideal like the Hilb
ert polynomial\, transforming the ideal in question to Noether position in
a sparse manner\, finding power series solutions to systems of linear par
tial differential equations\, etc. \nA second part will focus on a more ge
neral method for dealing with systems of nonlinear partial differential eq
uations. A Thomas decomposition is a finite family of so-called simple dif
ferential systems\, each of which is formally integrable\, and such that t
he solution set of the original system is the disjoint union of the soluti
on sets of the simple systems. Again several applications can be discussed
: solving differential elimination problems\, analyzing certain structural
properties of nonlinear control systems\, studying consistency of finite
difference schemes for systems of nonlinear partial differential equations
. \nDemonstrations of implementations in Maple will be given if time permi
ts.\n
LOCATION:https://researchseminars.org/talk/IPMIsfahan/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marco Antonio Teixeira (Estadual de Campinas\, Brazil)
DTSTART;VALUE=DATE-TIME:20221207T130000Z
DTEND;VALUE=DATE-TIME:20221207T140000Z
DTSTAMP;VALUE=DATE-TIME:20240328T134121Z
UID:IPMIsfahan/12
DESCRIPTION:Title: Some Directions in Non-smooth Dynamical Systems Theory\nby Marco A
ntonio Teixeira (Estadual de Campinas\, Brazil) as part of IPM-Isfahan Mat
hematics Colloquium\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/IPMIsfahan/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Christophe Soule (IHES\, Paris)
DTSTART;VALUE=DATE-TIME:20221221T130000Z
DTEND;VALUE=DATE-TIME:20221221T140000Z
DTSTAMP;VALUE=DATE-TIME:20240328T134121Z
UID:IPMIsfahan/13
DESCRIPTION:Title: Arakelov Theory and the abc Conjecture\nby Christophe Soule (IHES\
, Paris) as part of IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nThe
abc conjecture is a generalization of Fermat's last theorem (in degree lar
ge enough). Parshin and Moret-Bailly have postulated an inequality in Arak
elov theory and they showed that it would imply a weak form of the abc con
jecture.\n
LOCATION:https://researchseminars.org/talk/IPMIsfahan/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jon F. Carlson (University of Georgia)
DTSTART;VALUE=DATE-TIME:20230301T123000Z
DTEND;VALUE=DATE-TIME:20230301T133000Z
DTSTAMP;VALUE=DATE-TIME:20240328T134121Z
UID:IPMIsfahan/14
DESCRIPTION:Title: Support Varieties in Group Representations\nby Jon F. Carlson (Uni
versity of Georgia) as part of IPM-Isfahan Mathematics Colloquium\n\nAbstr
act: TBA\n\nZoom meeting ID: 927 3085 9653\n passcode: 980135\n
LOCATION:https://researchseminars.org/talk/IPMIsfahan/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jakob Palmkvist (Orebro University)
DTSTART;VALUE=DATE-TIME:20230517T123000Z
DTEND;VALUE=DATE-TIME:20230517T133000Z
DTSTAMP;VALUE=DATE-TIME:20240328T134121Z
UID:IPMIsfahan/15
DESCRIPTION:Title: Lie Superalgebras and Gravity\nby Jakob Palmkvist (Orebro Universi
ty) as part of IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nI will re
view the idea of supersymmetry between bosons and fermions in physics\, an
d in particular in gravitational theories\, leading to supergravity. The s
upersymmetry transformations form a Lie superalgebra\, but I will also sho
w that Lie superalgebras are useful already for describing purely bosonic
theories. In particular\, I will give an account of tensor hierarchy algeb
ras\, which can be seen as infinite-dimensional generalisations of Lie sup
eralgebras of Cartan type\, and how they arise in the supergravity context
.\n
LOCATION:https://researchseminars.org/talk/IPMIsfahan/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Johan Öinert (Blekinge Inst. Tech.\, Sweden)
DTSTART;VALUE=DATE-TIME:20230830T123000Z
DTEND;VALUE=DATE-TIME:20230830T133000Z
DTSTAMP;VALUE=DATE-TIME:20240328T134121Z
UID:IPMIsfahan/16
DESCRIPTION:Title: Primeness of Group-graded Rings\, with Applications to Leavitt Path Ri
ngs\nby Johan Öinert (Blekinge Inst. Tech.\, Sweden) as part of IPM-I
sfahan Mathematics Colloquium\n\n\nAbstract\nIn this talk I will explain h
ow one can characterize primeness for a rather broad class of group-graded
rings called nearly epsilon-strongly graded rings. Our main result genera
lizes a classical result by D. Passman from the 1980s. We will also show h
ow to apply our results to Leavitt path rings\, thereby obtaining generali
zations of more recent results by Larki and by Abrams-Bell-Rangaswamy. Thi
s is joint work with Daniel Lännström (Linköping University)\, Patrik L
undström (University West)\, and Stefan Wagner (Blekinge Institute of Tec
hnology).\n\nZoom\nMeeting ID: 993 6496 6681\nPasscode: 176149\n
LOCATION:https://researchseminars.org/talk/IPMIsfahan/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vladimir Popov (Steklov. Inst. Math.\, Russia)
DTSTART;VALUE=DATE-TIME:20231025T123000Z
DTEND;VALUE=DATE-TIME:20231025T133000Z
DTSTAMP;VALUE=DATE-TIME:20240328T134121Z
UID:IPMIsfahan/17
DESCRIPTION:Title: 180 years of Invariant Theory\nby Vladimir Popov (Steklov. Inst.
Math.\, Russia) as part of IPM-Isfahan Mathematics Colloquium\n\n\nAbstrac
t\nInvariant Theory is a branch of algebra that is more than 180 years old
. During these years it came through several periods of rises and falls. N
owadays\, it comes through the new period of vigorous development\, flou
rishing again because of the deep\, mutually fruitful links with a number
of disciplines (algebraic groups\, Lie groups\, representation theory\, al
gebraic geometry\, commutative algebra\, homological algebra\, Galois theo
ry\, ring theory\, combinatorics\, coding theory) and famous mathematical
problems (Hilbert's 14th and 13th problems). In fact\, Invariant Theory ga
ve birth to some of them (commutative algebra and homological algebra). Th
e purpose of this talk is to give a survey\, intended for the nonexperts\,
of the main streams and results of this theory\, from the beginning to th
e present time.\n\nZoom:\n\nMeeting ID: 904 217 9424\nPasscode: 076334\n
LOCATION:https://researchseminars.org/talk/IPMIsfahan/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sadok Kallel (Univ. Lille 1 & Americ. Univ. Sharjah)
DTSTART;VALUE=DATE-TIME:20231115T123000Z
DTEND;VALUE=DATE-TIME:20231115T133000Z
DTSTAMP;VALUE=DATE-TIME:20240328T134121Z
UID:IPMIsfahan/18
DESCRIPTION:Title: On the Euler Charachteristic of Orbit Spaces of Stratified Group Actio
ns\nby Sadok Kallel (Univ. Lille 1 & Americ. Univ. Sharjah) as part of
IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nIn the first part\, we
show how the additivity of the Euler characteristic with compact supports
works well for poset stratified spaces. We then use this formalism to give
elementary derivations of the Euler characteristic of cocompact quotients
by "stratified group actions" of a discrete group. We use this derivation
to give a formula for the topological Euler characteristic of Euclidean c
rystallographic orbifold quotients.\n\nZoom\n\nMeeting ID: 972 8291 0564\n
Passcode: 432096\n
LOCATION:https://researchseminars.org/talk/IPMIsfahan/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Francois Boulier (Universite de Lille\, France)
DTSTART;VALUE=DATE-TIME:20240124T123000Z
DTEND;VALUE=DATE-TIME:20240124T133000Z
DTSTAMP;VALUE=DATE-TIME:20240328T134121Z
UID:IPMIsfahan/19
DESCRIPTION:Title: On the Relationship between the Fundamental Theorem of Tropical Differ
ential Algebraic Geometry and Numerical Integration of ODEs\nby Franco
is Boulier (Universite de Lille\, France) as part of IPM-Isfahan Mathemati
cs Colloquium\n\n\nAbstract\nThe Fundamental Theorem of Tropical Different
ial Algebraic Geometry is an equivalence theorem\, of fundamental nature\,
proved in the ODE case by Aroca\, Garay-López and Toghani (2016)\, solvi
ng a conjecture stated by Grigoriev (2015). A key ingredient is an approxi
mation theorem which actually is quite close to other approximation theore
ms proved by Denef and Lipshitz in their famous 1984 article in the Mathem
atische Annalen which lead to an algorithm deciding whether a general init
ial value problem has formal power series solutions (initial values are he
re considered in some generalized sense). Initial values for which formal
power series fail to exist or be unique correspond to the cases where the
classical numerical integration of ODE such as Runge-Kutta methods\, does
not apply. In my talk\, I will provide details and explanations to these s
tatements. My relationship with these topics is this one: I have contribut
ed to a generalization of the Fundamental Theorem for the PDE case\n(Falke
nsteiner et al. 2020\, 2021) and I am studying the possibility to turn Den
ef and Lipshitz theoretical algorithm into a practical one and implement i
t in the Python DifferentialAlgebra package which should be released very
soon.\n\nZoom:\n\nMeeting ID: 924 2889 4768\nPasscode: 371842\n
LOCATION:https://researchseminars.org/talk/IPMIsfahan/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ching Hung Lam (Academia Sinica\, Taiwan)
DTSTART;VALUE=DATE-TIME:20240306T120000Z
DTEND;VALUE=DATE-TIME:20240306T130000Z
DTSTAMP;VALUE=DATE-TIME:20240328T134121Z
UID:IPMIsfahan/20
DESCRIPTION:Title: On the Classification of Holomorphic Vertex Operator Algebras of Centr
al Charge 24\nby Ching Hung Lam (Academia Sinica\, Taiwan) as part of
IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nWe will discuss the rece
nt progress towards the classification of holomorphic vertex operator alge
bras of central charge 24. Some important tools will be discussed. We will
stress on\nthe similarities between the theory of vertex operator algebra
s and the theory of integral lattices. In particular\, we will discuss an
approach using the Leech lattice\, the unique even unimodular lattice of
rank 24 with minimal norm 4.\n\nZoom:\nMeeting ID: 993 7205 0337\nPassc
ode: 11111\n
LOCATION:https://researchseminars.org/talk/IPMIsfahan/20/
END:VEVENT
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