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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250130T100000
DTEND;TZID=America/New_York:20250130T110000
DTSTAMP:20260506T005133
CREATED:20250127T161217Z
LAST-MODIFIED:20250127T164602Z
UID:10003675-1738231200-1738234800@cmsa.fas.harvard.edu
SUMMARY:Stochastic Process and Noncommutative Geometry
DESCRIPTION:Mathematical Physics and Algebraic Geometry Seminar \nSpeaker: Zichang Wang (Tsinghua University) \nTitle: Stochastic Process and Noncommutative Geometry \nAbstract: We explain a stochastic approach to topological field theory and present a case study of quantum mechanical model and its relation to noncommutative geometry. For detail reference\, see https://arxiv.org/abs/2501.12360 \n  \n 
URL:https://cmsa.fas.harvard.edu/event/mathphys_13025/
LOCATION:Hybrid
CATEGORIES:Mathematical Physics and Algebraic Geometry
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Mathematical-Physics-and-Algebraic-Geometry-1.30.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250206T100000
DTEND;TZID=America/New_York:20250206T110000
DTSTAMP:20260506T005133
CREATED:20241017T135403Z
LAST-MODIFIED:20250131T173042Z
UID:10003594-1738836000-1738839600@cmsa.fas.harvard.edu
SUMMARY:Quantum algebras and R-matrices from the equivariant affine Grassmannians
DESCRIPTION:Mathematical Physics and Algebraic Geometry Seminar \nSpeaker: Wenjun Niu\, Perimeter Institute \nTitle: Quantum algebras and R-matrices from the equivariant affine Grassmannians \nAbstract: In this talk\, I will explain my joint work with R. Abedin\, in which we construct\, for each Lie algebra g\, a Hopf algebra and a spectral R-matrix satisfying quantum Yang-Baxter equation. This Hopf algebra is a quantization of the Lie bi-algebra structure on T^*g[t] defined by Yang’s r-matrix\, and therefore we call it the Yangian of T^*g. The construction is based on the category of coherent sheaves on the equivariant affine Grassmannian associated to the formal group of g\, and is motivated by the study of the category of line defects in a 4 dimensional holomorphic-topological field theory. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/mathphys_2625/
LOCATION:Virtual
CATEGORIES:Mathematical Physics and Algebraic Geometry
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Mathematical-Physics-and-Algebraic-Geometry-2.6.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250213T100000
DTEND;TZID=America/New_York:20250213T110000
DTSTAMP:20260506T005133
CREATED:20250128T171735Z
LAST-MODIFIED:20250212T182848Z
UID:10003677-1739440800-1739444400@cmsa.fas.harvard.edu
SUMMARY:The Structure of the Flux Landscape
DESCRIPTION:Mathematical Physics and Algebraic Geometry Seminar \nSpeaker: Damian Van de Heisteeg\, Harvard CMSA \nTitle: The Structure of the Flux Landscape \nAbstract: Identifying flux vacua in string theory with stabilized complex structure moduli presents a significant challenge\, necessitating the minimization of a scalar potential complicated by infinitely many exponential corrections. In order to obtain exact results we connect three central topics: transcendentality or algebraicity of coupling functions\, emergent symmetries\, and the distribution of vacua. We demonstrate these ideas on an explicit example where we determine the landscape of exact flux vacua with a vanishing superpotential. We examine the implications of the tadpole bound\, which intriguingly confines flux vacua to real values of the moduli\, providing a potential avenue for addressing the strong CP problem. \n  \n  \n 
URL:https://cmsa.fas.harvard.edu/event/mathphys_21325/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Mathematical Physics and Algebraic Geometry
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Mathematical-Physics-and-Algebraic-Geometry-2.13.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250220T100000
DTEND;TZID=America/New_York:20250220T110000
DTSTAMP:20260506T005133
CREATED:20250128T171842Z
LAST-MODIFIED:20250218T155455Z
UID:10003678-1740045600-1740049200@cmsa.fas.harvard.edu
SUMMARY:The geometry of pure spinor superfield formalism 
DESCRIPTION:Mathematical Physics and Algebraic Geometry Seminar \nSpeaker: Simone Noja (Heidelberg University) \nTitle: The geometry of pure spinor superfield formalism \nAbstract: In this talk I will present a mathematical perspective on the pure spinor superfield formalism. In particular\, I will discuss how field multiplets in supersymmetric theories can be constructed mathematically from geometric data associated with certain algebraic varieties—namely\, the nilpotence variety of the (super)symmetry algebra of the theory. After discussing key examples\, I will\, time permitting\, outline a possible generalization of the formalism within the framework of derived geometry.
URL:https://cmsa.fas.harvard.edu/event/mathphys_22025/
LOCATION:Virtual
CATEGORIES:Mathematical Physics and Algebraic Geometry
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Mathematical-Physics-and-Algebraic-Geometry-2.20.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250227T100000
DTEND;TZID=America/New_York:20250227T110000
DTSTAMP:20260506T005133
CREATED:20250128T171904Z
LAST-MODIFIED:20250224T172054Z
UID:10003679-1740650400-1740654000@cmsa.fas.harvard.edu
SUMMARY:2d chiral Lagrangian for asymptotic dynamics for 4d (self-dual) Einstein gravity
DESCRIPTION:Mathematical Physics and Algebraic Geometry Seminar \nSpeaker: Wei Bu (Harvard University) \nTitle: 2d chiral Lagrangian for asymptotic dynamics for 4d (self-dual) Einstein gravity \nAbstract: In this talk\, I will present a simple chiral 2d Lagrangian living on a 2d celestial sphere on the null boundary of 4d Minkowski space and briefly mention its first principal derivation using twistor theory. This 2d theory gives the asymptotic/edge dynamics of 4d (self-dual) Einstein gravity in asymptotically flat spacetimes. For example\, using simple 2d CFT computations\, one could recover generators of asymptomatic symmetries. If time permits\, I’ll further discuss the potential of using this theory to produce a QFT computation of the entropy of a certain asymptotically flat black hole. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/mathphys_22725/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Mathematical Physics and Algebraic Geometry
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/1740417562101-e8e32246-9ddf-4efa-bead-7da43ef078972025_1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250306T100000
DTEND;TZID=America/New_York:20250306T110000
DTSTAMP:20260506T005133
CREATED:20250128T171934Z
LAST-MODIFIED:20250227T195753Z
UID:10003680-1741255200-1741258800@cmsa.fas.harvard.edu
SUMMARY:Physical Yukawa Couplings in Heterotic String Compactifications
DESCRIPTION:Mathematical Physics and Algebraic Geometry Seminar \nSpeaker: Giorgi Butbaia\, University of New Hampshire \nTitle: Physical Yukawa Couplings in Heterotic String Compactifications \nAbstract: Calabi-Yau compactifications of the $E_8\times E_8$ heterotic string provide a promising route to recovering the four-dimensional particle physics described by the Standard Model. While the topology of the Calabi-Yau space determines the overall matter content in the low-energy effective field theory\, further details of the compactification geometry are needed to calculate the normalized physical couplings and masses of elementary particles. In this talk\, we present novel numerical techniques for computing physically normalized Yukawa couplings in a number of heterotic models in the standard embedding using machine learning. We observe that the results produced using these techniques are in excellent agreement with the expected values. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/mathphys_3625/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Mathematical Physics and Algebraic Geometry
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Mathematical-Physics-and-Algebraic-Geometry-3.6.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250317T164000
DTEND;TZID=America/New_York:20250317T174000
DTSTAMP:20260506T005133
CREATED:20250312T182310Z
LAST-MODIFIED:20250312T183924Z
UID:10003727-1742229600-1742233200@cmsa.fas.harvard.edu
SUMMARY:Verlinde's formula in logarithmic conformal field theory
DESCRIPTION:Mathematical Physics and Algebraic Geometry Seminar \nSpeaker: Thomas Creutzig (University of Alberta) \nTitle: Verlinde’s formula in logarithmic conformal field theory \nAbstract: Two-dimensional conformal field theories lead to rich mathematical structure. For example its chiral algebra is a vertex algebra and the axioms of rational conformal field theory define modular tensor categories. A highlight of this development was Verlinde’s formula of rational conformal field theory\, a formula that computes tensor product rules from modular data of characters. \nNowadays one is interested in logarithmic conformal field theories\, in particular the underlying representation categories of the vertex algebras are not semi-simple and usually also not finte. Modular data and Verlinde’s formula become quite a mystery and I will explain how to resolve it. \n  \n  \n 
URL:https://cmsa.fas.harvard.edu/event/mathphys_31725/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Mathematical Physics and Algebraic Geometry
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Mathematical-Physics-and-Algebraic-Geometry-3.17.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250327T100000
DTEND;TZID=America/New_York:20250327T110000
DTSTAMP:20260506T005133
CREATED:20250128T172102Z
LAST-MODIFIED:20250324T152627Z
UID:10003682-1743069600-1743073200@cmsa.fas.harvard.edu
SUMMARY:From quantum difference equations to Maulik-Okounkov quantum affine algebra
DESCRIPTION:Mathematical Physics and Algebraic Geometry Seminar \n*via Zoom only* \nSpeaker: Tianqing Zhu (Tsinghua University) \nTitle: From quantum difference equations to Maulik-Okounkov quantum affine algebra \nAbstract: Capping operator is one the core subject in the K-theoretic quasimap counting to quiver varieties. It has been shown by Okounkov and Smirnov that it satisfies a system of q-difference equations governed by the MO quantum affine algebras. In this talk we will show how to construct the similar quantum difference equation via the shuffle algebras. Then we will show how to use the monodromy data of these quantum difference equations to prove the isomorphism of the positive half of the MO quantum affine algebras of affine type A and the positive half of the quantum toroidal algebras. If time permits\, I will also give a brief explanation on how to extend the proof to the general case. \n  \n  \n 
URL:https://cmsa.fas.harvard.edu/event/mathphys_32725/
LOCATION:Virtual
CATEGORIES:Mathematical Physics and Algebraic Geometry
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Mathematical-Physics-and-Algebraic-Geometry-3.27.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250403T100000
DTEND;TZID=America/New_York:20250403T110000
DTSTAMP:20260506T005133
CREATED:20250128T172140Z
LAST-MODIFIED:20250331T191842Z
UID:10003683-1743674400-1743678000@cmsa.fas.harvard.edu
SUMMARY:(Strictly) Non-minimal Elliptic Threefolds and the Distance Conjecture
DESCRIPTION:Mathematical Physics and Algebraic Geometry Seminar \nSpeaker: Rafael Álvarez García (Harvard University) \nTitle: (Strictly) Non-minimal Elliptic Threefolds and the Distance Conjecture \nAbstract: We analyze infinite-distance limits in the complex structure moduli space of six-dimensional F-theory\, providing an algebro-geometric classification and a physical interpretation. From the point of view of the Swampland Program\, the motivation is to understand the fate of open-moduli infinite-distance limits in relation with the Distance Conjecture. From an F-theory perspective\, the infinite-distance limits correspond to degenerations of elliptic threefolds leading to non-minimal singularities in codimension one and higher. We show how such non-crepant singularities can be removed by a systematic sequence of blow-ups of the bases of the infinite-distance degenerations\, making their central fibers a union of log Calabi-Yau spaces glued together along their boundaries. We interpret said central fibers as either the endpoints of decompactification limits with six-dimensional defects or as emergent string limits\, providing further evidence for the Emergent String Conjecture. Degenerations leading to strictly non-minimal singularities can correspond both to finite-distance and infinite-distance limits in the open moduli space. We analyze the chain of modifications and base changes necessary to unambiguously determine the fate of such families of F-theory models. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/mathphys_4325/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Mathematical Physics and Algebraic Geometry
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Mathematical-Physics-and-Algebraic-Geometry-4.3.2025-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250410T100000
DTEND;TZID=America/New_York:20250410T110000
DTSTAMP:20260506T005133
CREATED:20250128T191238Z
LAST-MODIFIED:20250404T155809Z
UID:10003684-1744279200-1744282800@cmsa.fas.harvard.edu
SUMMARY:3d Mirror Symmetry is 2d Mirror Symmetry
DESCRIPTION:Mathematical Physics and Algebraic Geometry Seminar \nSpeaker: Ki Fung Chan (Chinese University of Hong Kong) \nTitle: 3d Mirror Symmetry is 2d Mirror Symmetry \nAbstract: We introduce an approach to studying 3d mirror symmetry via 2d mirror symmetry. The main observations are: (1) 3d brane transforms are given by SYZ-type transforms; (2) the exchange of symplectic and complex structures in 2d mirror symmetry induces the exchange of Kähler and equivariant parameters in 3d mirror symmetry; and (3) the functionalities of 2d mirror symmetry control the gluing of 3d mirrors. If time permits\, we will also discuss some applications to 2d mirror symmetry at the end of the talk. Joint works with Naichung Conan Leung. \n  \n  \n 
URL:https://cmsa.fas.harvard.edu/event/mathphys_41025/
LOCATION:Virtual
CATEGORIES:Mathematical Physics and Algebraic Geometry
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Mathematical-Physics-and-Algebraic-Geometry-4.10.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250424T100000
DTEND;TZID=America/New_York:20250424T110000
DTSTAMP:20260506T005133
CREATED:20250128T191347Z
LAST-MODIFIED:20250421T140604Z
UID:10003686-1745488800-1745492400@cmsa.fas.harvard.edu
SUMMARY:Mass gap in AdS space
DESCRIPTION:Mathematical Physics and Algebraic Geometry Seminar \nSpeaker: Ziming Ji\, Northeastern University \nTitle: Mass gap in AdS space \nAbstract: AdS space can be used as an IR regulator of QFT. The asymptotic conformal boundary in AdS space provides rich\, unique observables. We study asymptotic free theories in two-dimensional AdS space. By changing the AdS curvature scale \Lambda L\, we observe boundary signals of quantum phase transitions where mass gaps are dynamically generated in the bulk. We also utilize supersymmetry to study gauge theories in AdS4. We argue a connection between the AdS partition function and the prepotential and use the F-maximization of the Nekrasov partition function to study supersymmetric boundary conditions and its connection to the Seiberg-Witten theory. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/mathphys_42425/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Mathematical Physics and Algebraic Geometry
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Mathematical-Physics-and-Algebraic-Geometry-4.24.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250501T100000
DTEND;TZID=America/New_York:20250501T110000
DTSTAMP:20260506T005133
CREATED:20250128T172012Z
LAST-MODIFIED:20250428T143252Z
UID:10003681-1746093600-1746097200@cmsa.fas.harvard.edu
SUMMARY:From superspace to twisted supergravity
DESCRIPTION:Mathematical Physics and Algebraic Geometry Seminar \nSpeaker: Fabian Hahner\, University of Washington \nTitle: From superspace to twisted supergravity \nAbstract: In this talk\, I will present a geometric perspective on the pure spinor superfield formalism\, which proves fruitful for studying twisted supergravity. For eleven-dimensional supergravity\, we use this technique to construct the full interacting theory together with all its twists in a uniform and geometric way as homotopy Poisson–Chern–Simons theories. In addition to simplifying the computation of twists immensely\, this also provides fresh insights into the supergeometric origin of supergravity. Building on these ideas\, we further construct local dg Lie algebras that recover conformal supergravity multiplets and their twists in terms of a geometric moduli problem on superspace. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/mathphys_5125/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Mathematical Physics and Algebraic Geometry
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Mathematical-Physics-and-Algebraic-Geometry-5.1.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250508T100000
DTEND;TZID=America/New_York:20250508T110000
DTSTAMP:20260506T005133
CREATED:20250312T185317Z
LAST-MODIFIED:20250501T191129Z
UID:10003728-1746698400-1746702000@cmsa.fas.harvard.edu
SUMMARY:Residues and homotopy Lie algebras
DESCRIPTION:Mathematical Physics and Algebraic Geometry Seminar \nSpeaker: Zhenping Gui\, Shanghai Institute for Mathematics and Interdisciplinary Sciences \nTitle: Residues and homotopy Lie algebras \nAbstract: I will introduce the notion of a chiral operad for any compact Riemann surface. This operad consists of compositions of residue operations\, which give rise to the Chevalley-Cousin complex and lead to the definition of chiral homology (derived conformal blocks). I will explain how to use this machinery to rigorously define certain Feynman integrals in 2D chiral CFTs. Subsequently\, I will present a polysimplicial construction of a series of chain models for the configuration space of points in an affine space and study residue operations. These residue operations can be described by a homotopy Lie algebra structure\, and the latter defines a higher-dimensional analog of the Chevalley-Cousin complex. This is based on joint work in progress with Charles Young and Laura Felder. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/mathphys_5825/
LOCATION:Virtual
CATEGORIES:Mathematical Physics and Algebraic Geometry
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Mathematical-Physics-and-Algebraic-Geometry-5.8.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250515T100000
DTEND;TZID=America/New_York:20250515T110000
DTSTAMP:20260506T005133
CREATED:20250417T165100Z
LAST-MODIFIED:20250509T175206Z
UID:10003741-1747303200-1747306800@cmsa.fas.harvard.edu
SUMMARY:Resurgence\, number theory\, and quantum mirror curves 
DESCRIPTION:Mathematical Physics and Algebraic Geometry Seminar \nSpeaker: Claudia Rella (IHES) \nTitle: Resurgence\, number theory\, and quantum mirror curves \nAbstract: Resurgence provides a powerful toolbox to access the non-perturbative sectors hidden within the divergent asymptotic series of quantum theories. Under some special assumptions\, the non-perturbative data extracted via resurgent methods possess intrinsic number-theoretic properties that are deeply rooted in the symmetries and arithmetic of the geometry underlying the quantum theory. The framework of modular resurgence aims to formalise this observation. In this talk\, after introducing the basics of modular resurgence\, I will consider the TS/ST correspondence for toric Calabi-Yau threefolds and focus on the fermionic spectral traces of quantum mirror curves. Here\, a complete realisation of the modular resurgence paradigm is found in the spectral theory of local P^2—where the bridge between non-perturbative physics and the arithmetic properties of the geometry takes the form of an exact strong-weak symmetry—and is now being generalised to all local weighted projective spaces. This talk is based on arXiv:2212.10606\, 2404.10695\, 2404.11550\, and work in progress. \n  \n  \n 
URL:https://cmsa.fas.harvard.edu/event/mathphys_51525/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Mathematical Physics and Algebraic Geometry
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Mathematical-Physics-and-Algebraic-Geometry-5.15.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250522T100000
DTEND;TZID=America/New_York:20250522T110000
DTSTAMP:20260506T005133
CREATED:20250417T165226Z
LAST-MODIFIED:20250519T144738Z
UID:10003742-1747908000-1747911600@cmsa.fas.harvard.edu
SUMMARY:Higher Gauge Theory and Integrability
DESCRIPTION:Mathematical Physics and Algebraic Geometry Seminar \nSpeaker: Joaquin Liniado\, Instituto de Física La Plata \nTitle: Higher Gauge Theory and Integrability \nAbstract: Integrable field theories are remarkable for possessing an infinite number of conserved quantities\, which often allow for their exact solvability. In two dimensions\, this structure is elegantly captured by the existence of a Lax connection\, whose path ordered exponential allows for the systematic construction of an infinite number of conserved quantities. In 2019\, Costello\, Witten and Yamazaki introduced a four-dimensional holomorphic extension of Chern-Simons theory that provides the first attempt at explaining the appearance of the Lax connection\, whose origin had remained somewhat mysterious until then. \nIn this talk\, we present a generalization of these ideas to three-dimensional field theories\, guided by the so-called “categorical ladder = dimensional ladder” principle. The central idea is that conserved quantities arise from surface-ordered exponentials of higher-rank tensors\, defining a higher categorical notion of the Lax connection. We show that such a structure naturally emerges from a five-dimensional holomorphic extension of higher Chern-Simons theory. This work\, carried out in collaboration with Hank Chen\, provides a framework that enables the systematic construction of integrable field theories in three dimensions. \n  \n  \n 
URL:https://cmsa.fas.harvard.edu/event/mathphys_52225/
LOCATION:Virtual
CATEGORIES:Mathematical Physics and Algebraic Geometry
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Mathematical-Physics-and-Algebraic-Geometry-5.22.2025.png
END:VEVENT
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