BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:David Eisenbud (MSRI and University of California\, Berkeley) DTSTART:20210203T160000Z DTEND:20210203T170000Z DTSTAMP:20260422T212923Z 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:20210217T123000Z DTEND:20210217T133000Z DTSTAMP:20260422T212923Z 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:20210421T120000Z DTEND:20210421T133000Z DTSTAMP:20260422T212923Z 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:20210526T150000Z DTEND:20210526T160000Z DTSTAMP:20260422T212923Z 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:20210623T110000Z DTEND:20210623T120000Z DTSTAMP:20260422T212923Z 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:20210922T130000Z DTEND:20210922T140000Z DTSTAMP:20260422T212923Z 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:20220804T063000Z DTEND:20220804T073000Z DTSTAMP:20260422T212923Z 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:20220907T063000Z DTEND:20220907T073000Z DTSTAMP:20260422T212923Z 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:20221012T123000Z DTEND:20221012T133000Z DTSTAMP:20260422T212923Z 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:20221026T123000Z DTEND:20221026T133000Z DTSTAMP:20260422T212923Z 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:20221123T133000Z DTEND:20221123T143000Z DTSTAMP:20260422T212923Z 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:20221207T130000Z DTEND:20221207T140000Z DTSTAMP:20260422T212923Z 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:20221221T130000Z DTEND:20221221T140000Z DTSTAMP:20260422T212923Z 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:20230301T123000Z DTEND:20230301T133000Z DTSTAMP:20260422T212923Z 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:20230517T123000Z DTEND:20230517T133000Z DTSTAMP:20260422T212923Z 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:20230830T123000Z DTEND:20230830T133000Z DTSTAMP:20260422T212923Z 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:20231025T123000Z DTEND:20231025T133000Z DTSTAMP:20260422T212923Z 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:20231115T123000Z DTEND:20231115T133000Z DTSTAMP:20260422T212923Z 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:20240124T123000Z DTEND:20240124T133000Z DTSTAMP:20260422T212923Z 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:20240306T120000Z DTEND:20240306T130000Z DTSTAMP:20260422T212923Z 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 BEGIN:VEVENT SUMMARY:Jon McCammond (UC Santa Barbara) DTSTART:20240417T140000Z DTEND:20240417T150000Z DTSTAMP:20260422T212923Z UID:IPMIsfahan/21 DESCRIPTION:Title: The Mysterious Geometry of Artin Groups\nby Jon McCammond (UC San ta Barbara) as part of IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nC oxeter Groups are a general family of groups that contain all of the sym metry groups of Platonic solids (and other high-dimensional regular polyt opes) as well as the affine reflection groups at the heart of the structur e theory of Lie Groups and Lie Algebras.  Artin Groups are another genera l family of groups that can be systematically derived from Coxeter Group s using complexified hyperplane complements.  In particular\, Coxeter G roups can be viewed as generalized symmetric groups and Artin Groups can be viewed as generalized braid groups.  In this talk\, I focus on the sha rp contrast between the two classes of groups.  There are classical\nuniv ersal theorems that describe the structure of all Coxeter Groups\, but the structure of most Artin groups remains fundamentally mysterious.\n\nZoom\ nMeeting ID: 965 8534 6702\nPasscode: 2222\n LOCATION:https://researchseminars.org/talk/IPMIsfahan/21/ END:VEVENT BEGIN:VEVENT SUMMARY:Hiroshi Yamauchi (Tokyo Woman’s Christian Univ.\, Japan) DTSTART:20240501T113000Z DTEND:20240501T123000Z DTSTAMP:20260422T212923Z UID:IPMIsfahan/22 DESCRIPTION:Title: Ising Vectors and Vertex Algebras\nby Hiroshi Yamauchi (Tokyo Wom an’s Christian Univ.\, Japan) as part of IPM-Isfahan Mathematics Colloq uium\n\n\nAbstract\nIn this talk I will start with a brief introduction of the notion of vertex algebras and explain applications of Ising vectors i n vertex algebra theory. In some way\, Ising vectors play a role similar t o that of roots in Lie theory. For instance\, one can define involutions o f vertex algebras attached with Ising vectors something like reflections i n Lie theory. Recently\, we have a complete classification of a class of v ertex algebras generated by Ising vectors under certain assumptions. This result is based on joint works with Cuipo Jiang and Ching Hung Lam:\n \n https://arxiv.org/abs/1803.01385 and https://arxiv.org/abs/2 312.09713\n\nZoom\nMeeting ID: 991 6380 9780\nPasscode: 2222\n LOCATION:https://researchseminars.org/talk/IPMIsfahan/22/ END:VEVENT BEGIN:VEVENT SUMMARY:Yoshiharu Kohayakawa (Univ. São Paulo\, Brazil) DTSTART:20240918T123000Z DTEND:20240918T133000Z DTSTAMP:20260422T212923Z UID:IPMIsfahan/23 DESCRIPTION:Title: Arithmetic Progressions in Sumsets and in Subsetsums of Sparse Random Sets\nby Yoshiharu Kohayakawa (Univ. São Paulo\, Brazil) as part of I PM-Isfahan Mathematics Colloquium\n\n\nAbstract\nGiven a set 𝐴\, its su mset 𝐴+𝐴 is defined as the set of all sums of pairs of elements of 𝐴. Given 𝑝: ℕ→[0\,1]\, we let 𝐴_𝑛=[𝑛]_𝑝 be the 𝑝- random subset of [𝑛]={1\, …\,𝑛} and consider 𝑚^∗=𝑚^∗ ( 𝑛)\, the largest 𝑚 for which 𝐴_𝑛+𝐴_𝑛 contains an 𝑚-el ement arithmetic progression with high probability. We shall see that for certain choices of 𝑝_−=𝑝_− (𝑛) and 𝑝_+=𝑝_+ (𝑛) with 𝑝_−≤𝑛^(−1/2)≤𝑝_+ and 𝑝_+∕𝑝_− =(log⁡𝑛 )^ 𝜔\, where 𝜔 can be chosen to grow arbitrarily slowly\, for 𝑝≤ 𝑝_− we have 𝑚^∗≪log⁡𝑛∕log⁡log⁡𝑛 and for 𝑝 ≥𝑝_+ we have 𝑚^∗=Θ(𝑛). Furthermore\, if 𝑝≥𝑛^(−1/2+ 𝜖) for any fixed 𝜖>0\, then long progressions exist in the sumset of any positive density subset of 𝐴_𝑛: with high probability\, for any subset 𝑆 of 𝐴_𝑛 with a fixed proportion of elements of 𝐴_𝑛 \, the sumset 𝑆+𝑆 contains arithmetic progressions with 2^(Ω(√log ⁡𝑛)) elements.\n\nZoom\,\nMeeting ID: 951 1656 5434\nPasscode: 1111\n LOCATION:https://researchseminars.org/talk/IPMIsfahan/23/ END:VEVENT BEGIN:VEVENT SUMMARY:Jasmin Raissy (Bordeaux\, France) DTSTART:20241016T123000Z DTEND:20241016T133000Z DTSTAMP:20260422T212923Z UID:IPMIsfahan/24 DESCRIPTION:Title: Holomorphic Dynamics: Order and Chaos\nby Jasmin Raissy (Bordeaux\ , France) as part of IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nIn this talk\, we will discuss recurrent series of complex numbers\, their li mit values and their links to the Mandelbrot set and fractals. We will int roduce the dynamical systems generated by the iteration of a holomorphic f unction: after describing the dynamical partition between the stable part (the Fatou set) and its chaotic complement (the Julia set)\, we will study the classification of all possible invariant components of the stable set . If time allows\, we will conclude with some recent results on wandering domains.\n\nZoom: \nMeeting ID: 924 4547 1632\nPasscode: 1111\n LOCATION:https://researchseminars.org/talk/IPMIsfahan/24/ END:VEVENT BEGIN:VEVENT SUMMARY:Li Guo (Rutgers Univ. – Newark USA) DTSTART:20241030T123000Z DTEND:20241030T133000Z DTSTAMP:20260422T212923Z UID:IPMIsfahan/25 DESCRIPTION:Title: Algebraic Structures from Integral Equations\nby Li Guo (Rutgers U niv. – Newark USA) as part of IPM-Isfahan Mathematics Colloquium\n\n\nAb stract\nEven though the research styles of algebra and analysis are quite different\, many algebraic structures naturally arose from analysis\, diff erential equations and integral equations\, inspiring further applications in broad areas of mathematics and mathematical physics. This talk gives a n introduction to these algebraic structures\, including differential alge bras\, Rota-Baxter algebras and Reynolds algebras.\n LOCATION:https://researchseminars.org/talk/IPMIsfahan/25/ END:VEVENT BEGIN:VEVENT SUMMARY:Ivan Dimitrov (Queen's University) DTSTART:20250206T063000Z DTEND:20250206T073000Z DTSTAMP:20260422T212923Z UID:IPMIsfahan/26 DESCRIPTION:Title: Generalized Root Systems\nby Ivan Dimitrov (Queen's University) as part of IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nI will present a generalization of the notion of a root system by relaxing the conditions that ensure that it is invariant  under reflections. The resulting stru ctures\, called generalized root systems (GRSs for short)\, apart from roo t systems include Kostant root systems and root systems of Lie superalgebr as. As a result\, studying GRSs provides a uniform axiomatic approach to s tudying all of the above structures. GRSs inherit many of the properties o f root systems but also differ from them in significant ways. An important difference between GRSs and root systems is that GRSs may lack a (large e nough) Weyl group. In order to compensate for this\, we introduce the noti on of a virtual reflection\, building on a construction of Penkov and Serg anova in the context of root systems of Lie superalgebras. The most signif icant new feature of GRSs is that\, along with subsystems\, one can define quotient GRSs. Both Kostant root systems and root systems of Lie superalg ebras are equivalent to quotients of root systems and all root systems are isomorphic to quotients of simply-laced root systems. In this talk I wil l define GRSs\, discuss their properties and provide a classification resu lt. The talk is based on a joint work with Rita Fioresi.\n\nZoom:\nMeeting ID: 953 4424 0435\nPasscode: 8888\n LOCATION:https://researchseminars.org/talk/IPMIsfahan/26/ END:VEVENT BEGIN:VEVENT SUMMARY:Wei Li (AMSS\, Chinese Academy of Sciences) DTSTART:20250227T060000Z DTEND:20250227T070000Z DTSTAMP:20260422T212923Z UID:IPMIsfahan/27 DESCRIPTION:Title: Generic Intersection Theory and Chow Forms in Differential Algebraic Geometry\nby Wei Li (AMSS\, Chinese Academy of Sciences) as part of I PM-Isfahan Mathematics Colloquium\n\n\nAbstract\nDifferential algebra or d ifferential algebraic geometry is a branch of mathematics founded by Ritt and Kolchin aiming to study differential equations in a similar way in whi ch polynomial equations are studied in commutative algebra or algebraic ge ometry. Therefore\,basic notions and results of differential algebra are b ased on those of algebraic geometry. However\, for many results in algebra ic geometry\, their differential counterparts are much more difficult to p rove and some of them are still open problems. In this talk\, we will firs t give a brief introduction to the basics of differential algebra\, and th en talk about our work on two naturally connected problems in differential algebraic geometry: the differential dimension conjecture for generic dif ferential polynomials\, and the theory of differential Chow forms and Chow varieties.\n\nZoom:\nMeeting ID: 926 5700 6299 \nPasscode: 2222\n LOCATION:https://researchseminars.org/talk/IPMIsfahan/27/ END:VEVENT BEGIN:VEVENT SUMMARY:Yilin Wang (IHES\, France) DTSTART:20250305T123000Z DTEND:20250305T133000Z DTSTAMP:20260422T212923Z UID:IPMIsfahan/28 DESCRIPTION:Title: The Brownian Loop Measure on Riemann Surfaces and Applications to Leng th Spectra\nby Yilin Wang (IHES\, France) as part of IPM-Isfahan Mathe matics Colloquium\n\n\nAbstract\nThe goal of this talk is to showcase how we can use stochastic processes to study the geometry of surfaces. More pr ecisely\, we use the Brownian loop measure to express the lengths of close d geodesics on a hyperbolic surface and zeta-regularized determinant of th e Laplace-Beltrami operator. This gives a tool to study the length spectra of a hyperbolic surface and we obtain a new identity between the length s pectrum of a compact surface and that of the same surface with an arbitrar y number of additional cusps. This is based on a joint work with Yuhao Xue (IHES).\n\nZoom:\nMeeting ID: 968 2589 3244\nPasscode: 4444\n LOCATION:https://researchseminars.org/talk/IPMIsfahan/28/ END:VEVENT BEGIN:VEVENT SUMMARY:Chih-Whi Chen (National Central University\, Taiwan) DTSTART:20250416T133000Z DTEND:20250416T143000Z DTSTAMP:20260422T212923Z UID:IPMIsfahan/29 DESCRIPTION:Title: Whittaker Modules for Quasi-reductive Lie Superalgebras and Principal Finite W-superalgebras\nby Chih-Whi Chen (National Central University\ , Taiwan) as part of IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nWe study the Whittaker modules associated with a nilcharacter over a quasi-re ductive Lie superalgebra. In this talk\, we present some constructions of simple Whittaker modules for a basic classical and a strange Lie superalge bras. In the case when the nilcharacter is regular\, we explain a Kostant- Skryabin type equivalence between the category of Whittaker modules and th e category of finite-dimensional modules over the associated principal fin ite W-superalgebra. This allows us to give a super analogue of Soergel’s Struktursatz for a certain Whittaker functor from the integral BGG catego ry 𝒪 to the module category of the principal finite W-superalgebras. Th is is a joint work with Shun-Jen Cheng.\n\nZoom:\nMeeting ID: 987 0504 818 2\nPasscode: 4444\n LOCATION:https://researchseminars.org/talk/IPMIsfahan/29/ END:VEVENT BEGIN:VEVENT SUMMARY:Giovanna Carnovale (Università di Padova\, Italy) DTSTART:20250521T123000Z DTEND:20250521T133000Z DTSTAMP:20260422T212923Z UID:IPMIsfahan/30 DESCRIPTION:Title: Nichols Algebras over Finite Simple Groups\nby Giovanna Carnovale (Università di Padova\, Italy) as part of IPM-Isfahan Mathematics Colloq uium\n\n\nAbstract\nNichols algebras\, also known as small shuffle algebra s\, are graded algebras constructed from a vector space V and a solution o f  the braid equation on the two-fold tensor product of V. Notable examp les are: the symmetric algebra on V\, the exterior algebra on V\, the posi tive part of quantized enveloping algebras of semisimple Lie agebras. We w ill focus on the case in which V is a suitable graded representation of a group G. According to a folklore conjecture\, if G is a non-abelian finite simple group\, the associated  Nichols algebra is always inifinite-dimen sional. I will report on the status of this conjecture\, based on a series of joint works obtained in collaboration with N. Andruskiewitsch\, G. Gar cía\, M. Costantini.\n\nZoom:\nMeeting ID: 936 6771 9469\nPasscode: 8888\ n LOCATION:https://researchseminars.org/talk/IPMIsfahan/30/ END:VEVENT BEGIN:VEVENT SUMMARY:Rita Fioresi (University of Bologna\, Italy) DTSTART:20251001T120000Z DTEND:20251001T130000Z DTSTAMP:20260422T212923Z UID:IPMIsfahan/31 DESCRIPTION:Title: Admissible Positive Systems of Contragredient Lie Super Algebras\n by Rita Fioresi (University of Bologna\, Italy) as part of IPM-Isfahan Mat hematics Colloquium\n\n\nAbstract\nFor a simple complex Lie algebra\, give n an involution\, we get its complex Cartan decomposition into +1 and -1 e igenspaces and a real form associated with it. Whenever this real form has the same rank as its maximal compact subalgebra\, the complex Cartan deco mposition further allows to decompose the -1 eigenspace into the sum of po sitive or negative root spaces\, once a positive system is chosen. The exi stence of a complex structure on the quotient of the real Lie algebra by i ts maximal compact subalgebra is linked with the existence of an admissibl e positive system\, that is a positive system with an extra property. In t his talk we see an extension of this theory\, originally discovered by Har ish-Chandra in the context of Harish-Chandra representations\, to the case of contragredient superalgebras and affine algebras. We also discuss an e xtension to the case where the involution is replaced by a finite order au tomorphism. This talk is based on joint work with M.-K. Chuah and I. Dimit rov.\n\nZoom\nMeeting ID: 932 0741 8684\nPasscode: 4444\n LOCATION:https://researchseminars.org/talk/IPMIsfahan/31/ END:VEVENT BEGIN:VEVENT SUMMARY:Song-Yan Xie (Chinese Academy of Sciences) DTSTART:20251106T073000Z DTEND:20251106T083000Z DTSTAMP:20260422T212923Z UID:IPMIsfahan/32 DESCRIPTION:Title: A Second Main Theorem for Entire Curves Intersecting Three Conics\ nby Song-Yan Xie (Chinese Academy of Sciences) as part of IPM-Isfahan Math ematics Colloquium\n\n\nAbstract\nWe establish a Second Main Theorem for e ntire holomorphic curves 𝑓:ℂ→ℙ^2 intersecting a generic configura tion of three conics in the complex projective plane. By means of invaria nt logarithmic 2-jet differentials with negative twist\, we prove the esti mate\n\n 𝑇_(𝑓(𝑟))≤5∑1_(𝑖=1)^3 𝑁_𝑓^[1] (𝑟\,𝒞_𝑖 )+𝑂(𝑇_(𝑓(𝑟)))\n\nwhere 𝑇_( 𝑓(𝑟)) is the Nevanlinna characteristic function and 𝑁_𝑓^[1] ( 𝑟\,𝒞_𝑖 ) is the 1-truncated counting function\n\nZoom:\n\nMeeting ID: 904 217 9424\nPasscode: 4444\n LOCATION:https://researchseminars.org/talk/IPMIsfahan/32/ END:VEVENT END:VCALENDAR