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DTSTART;TZID=America/New_York:20260223T090000
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SUMMARY:Mathematics and Biology I: Morphometry\, Morphogenesis and Mathematics
DESCRIPTION:Mathematics and Biology I: Morphometry\, Morphogenesis and Mathematics \nDates: February 23–March 11\, 2026 \nLocation: Harvard CMSA\, Room G10\, 20 Garden Street\, Cambridge MA \nMathematics\, Morphometry and Morphogenesis is a 3-week program at the Harvard CMSA\, which will bring together researchers from a few different communities with a common aim—to understand shape and its development and evolution in living matter. \nThe aim is to bring together those interested in evolutionary and developmental biology\, soft and active matter physics\, and differential\, discrete and computational geometry and topology\, especially with a statistical bent. Although each of these fields has developed powerful tools and deep insights into form\, function\, and dynamics\, opportunities for them to meet and interact are rare. This workshop aims to foster dialogue and discovery across these disciplinary boundaries—where paleontologists\, developmental biologists\, physicists\, computer scientists and mathematicians can exchange ideas\, identify shared challenges\, and spark new collaborations. We envision this as a chance not only to showcase exciting advances within each domain\, but also to chart new directions together at the intersection of evolution\, development\, and geometry. \nThe first week will have a few tutorials on developmental and evolutionary aspects of morphology\, computational geometry\, statistics and dynamical systems\, along with a workshop-style meeting with research talks\, setting the stage for longer stays and new collaborations over the following weeks. \nPlease note that this is an in-person event. \n  \nWeek 1: Feb 23–27\, 2026: Teaching lectures and research seminars \nThe teaching lectures span a broad range of topics\, including statistical shape and morphometric analysis\, dynamical systems\, differential geometry\, and current themes in morphogenesis\, developmental biology\, and evolutionary developmental biology in Week 1. \n  \nWeek 2-3: March 2–5 & 10–11\, 2026: Research seminars and discussion \nWeeks 2 and 3 will cover development\, regeneration\, and evolution from quantitative\, morphometric\, and mathematical perspectives. \n  \nTopics include: \n🧬 Organoids & Tissue-Engineered Models \n🔬 Computational Imaging & Geometry \n⚙️ Biophysics\, Mechanics & Theory \n🌱 Developmental Biology & Evo-Devo \n  \nSpeakers: \n\nSalem al-Mosleh\, University of Maryland Eastern Shore\nVanessa Barone\, Stanford University\nYohannes Bellaiche\, Institut Curie\nAlain Chedotal\, Institut de la Vision\nGary P.T. Choi\, Chinese University of Hong Kong\nStefano Di Talia\, Duke University\nPaul Francois\, McGill University\nJianping Fu\, University of Michigan\nThomas Gregor\, Pasteur Institute & Princeton\nSahand Hormoz\, Harvard\nHelen James\, Smithsonian Institution\nPurnati Khuntia\, Harvard\nAllon Klein\, Harvard Medical School\nElena Kramer\, Harvard University\nThomas Lecuit\, College de France & IBDM\nDaniel Lew\, MIT\nL. Mahadevan\, Harvard\nM. Lisa Manning\, Syracuse\nAdam Martin\, MIT\nSean Megason\, Harvard\nNoah Mitchell\, University of Chicago\nAkankshi Munjal\, Duke\nNipam Patel\, MBL Woods Hole\nOlivier Pourquié\, Harvard Medical School\nAdrienne Roeder\, Cornell University\nMattia Serra\, UC San Diego\nSuraj Shankar\, University of Michigan\nAnuj Srivastava\, Johns Hopkins\nSebastian Streichan\, UC Santa Barbara\nBerta Verd\, University of Oxford\n\n  \nOrganizers: \n\nSalem al-Mosleh\, University of Maryland Eastern Shore\nVanessa Barone\, Stanford\nL. Mahadevan\, Harvard\nAkankshi Munjal\, Duke\nOlivier Pourquie\, Harvard\n\n  \nVideos from the program are available at the CMSA Youtube Channel. \nMathematics and Biology Playlist \nWeek 1: Feb 23–27\, 2026 – Workshop \nMonday\, 2/23/26 \n\n9:00–9:30 am: Breakfast\n\n9:30–10:30 am: Tutorial: Anuj Srivastava (Johns Hopkins) — Advances in Statistical Shape Analysis of Biological Structures\n\n10:30–11:00 am: Tea Break\n\n11:00 am–12:00 pm: Tutorial: Anuj Srivastava (Johns Hopkins) — Advances in Statistical Shape Analysis of Biological Structures\n\n12:00–1:30 pm: Lunch: CMSA Common Room\, catered\n\n1:30–2:15 pm: Research Talk: Noah Mitchell (University of Chicago) — Mechanical canalization of 3D chiral morphogenesis\n\nTuesday\, 2/24/26 \n\n9:00–9:30 am: Breakfast\n\n9:30–10:30 am: Tutorial: Mattia Serra (UCSD) —Tissue Flows\, Morphogen Transport and Positional Information: A Dynamical Systems Framework \n\n10:30–11:00 am: Tea Break\n\n11:00 am–12:00 pm: Tutorial: Mattia Serra (UCSD) — Tissue Flows\, Morphogen Transport and Positional Information: A Dynamical Systems Framework \n\n12:00–1:30 pm: Lunch Break\n\n1:30–2:15 pm: Research Talk: Paul Francois (McGill) — Waddington Landscapes in the Age of Machine Learning\n\nWednesday\, 2/25/26 \n\n9:00–9:30 am: Breakfast\n\n9:30–10:30 am: Tutorial: Olivier Pourquie (Harvard) — Segmentation and body axis\n\n10:30–11:00 am: Tea Break\n\n11:00 am–12:00 pm: Tutorial: Akankshi Munjal (Duke) — Principles of Tissue Morphogenesis\n\n12:00–1:30 pm: Lunch: CMSA Common Room\, catered\n\n1:30–2:15 pm: Research Talk: Allon Klein (Harvard) — Stochastic Cell State Transitions\n2:15–3:00 pm: Research Talk: Salem Al-Mosleh (University of Maryland) — Linking Geometry\, Evolution\, & Development of Bird Beaks\n\nThursday\, 2/26/26 \n\nIn-person discussions\n\nFriday\, 2/27/26 \n\n9:00–9:30 am: Breakfast\n\n9:30–10:30 am: Tutorial: Vanessa Barone (Stanford)\n\n10:30–11:00 am: Tea Break\n\n11:00 am–12:00 pm: Tutorial: Vanessa Barone (Stanford)\n\n12:00–1:30 pm: Lunch Break\n\n1:30–2:15 pm: Research Talk: Alain Chedotal (Institut de la Vision) — Tridimensional analysis of human development\n\n2:15–3:00 pm: Research Talk: Jianping Fu (University of Michigan) — Bioengineering Human Embryo and Organ Models\n\n\n  \nWeek 2: March 2–5\, 2026 \nMonday\, 3/2/26 \n\n9:00–9:30 am: Breakfast\n\n9:30–10:30 am: Research Talk: Thomas Lecuit (Collège de France) —Encoding neuronal shape in the stochastic dynamics of branching processes\n\n10:30–11:00 am: Tea Break\n\n11:00 am–12:00 pm: Research Talk: Danny Lew (MIT) — Tuning the Cell Polarity Circuit: location and number of polarity sites\n12:00–1:30 pm: Lunch: CMSA Common Room\, catered\n\n1:30–2:15 pm: Research Talk: Suraj Shankar (University of Michigan)\n2:15–2:50 pm: Trainee Research Talk: Wenhui Tang (Harvard) — Wetting dynamics and mechanics in human vertebrate somite formation\n2:50–3:05 pm: Tea Break\n3:05–3:35 pm: Trainee Research Talk: Ludwig Hoffmann (Harvard) — Shape deformations through mechanochemical feedback\n4:30–5:30 pm: CMSA Colloquium: L Mahadevan (Harvard) — Inverse problems in soft and active matter\n\nTuesday\, 3/3/26 \n\n9:00–9:30 am: Breakfast\n\n9:30–10:30 am: Research Talk: Adrienne Roeder (Cornell) — Mechanisms generating robustness in flower morphogenesis\n\n10:30–11:00 am: Tea Break\n\n11:00 am–12:00 pm: Research Talk: Gary Choi (Chinese University of Hong Kong) — Quantifying shape variation using quasi-conformal geometry\n\n12:00–1:30 pm: Lunch Break\n\n1:30–2:15 pm: Research Talk: Akankshi Munjal (Duke) — Shaping the inner ear from the Outside in\n\n2:15–2:50 pm: Trainee Research Talk: Sean McGeary (Harvard) — Uncovering principles of tissue organization with massively parallel cell-interaction assays\n2:50–3:05 pm: Tea Break\n3:05–3:35 pm: Trainee Research Talk: Oliver Inge (Harvard) —Combinatorial BMP4 and activin direct the choice between alternate routes to endoderm in a stem cell model of human gastrulation\n3:40–4:10 pm: Trainee Research Talk: Mehrana Raeisian Nejad (Harvard) — Stress-shape misalignment in confluent cell layers\n\nWednesday\, 3/4/26 \n\n9:00–9:30 am: Breakfast\n\n9:30–10:15 am: Research Talk: Nipam Patel (Marine Biology Lab\, Woods Hole) — Cellular Morphogenesis at the Nanoscale: Structural color in butterflies\n\n10:15–11:00 am: Tea Break\n\n11:00 am–12:00 pm: Research Talk: M. Lisa Manning (Syracuse) — Sparse mesenchymal cell networks as a fluid under tension (and possibly as tunable matter)\n\n12:00–1:30 pm: Lunch Break: CMSA Common Room\, catered\n\n1:30–2:30 pm: Research Talk: Research Talk: Stefano Di Talia (Duke) — Encoding Geometric Memory During Zebrafish Appendage Regeneration \n\n2:30–3:00 pm: Trainee Research Talk: Suhrid Ghosh (Harvard) — One Cell After Another: Mechanical Counting in Reproductive Evolution\n\n3:00–3:15 pm: Tea Break\n3:15–4:05 pm: Research Talk: Sean Megason (Harvard) — Algorithms for Creating Form: How multiscale control systems make development robust\n4:10–4:40 pm: Trainee Research Talk: Alexandru Bacanu (Harvard) — Forcing tissues into shape: mechanical development in the early human brain\n\nThursday\, 3/5/26 \n\n9:00–9:30 am: Breakfast\n\n9:30–10:30 am: Research Talk: Sebastian Streichen (UCSB) — Physics of Living Systems: From embryos to structured active matter\n\n10:30–11:00 am: Tea Break\n\n11:00 am–12:00 pm: Research Talk: Berta Verd (University of Oxford) — Evolving phenotypic diversity \n\n12:00–1:30 pm: Lunch Break\n\n1:30–2:15 pm: Research Talk: Elena Kramer (Harvard) — Life in a box: Generating developmental complexity while bound by cell walls\n\n2:20–2:50 pm: Trainee Research Talk: Beatrice Steinert (Brown) — Grids and Folds: Morphogenetic Mechanisms of Body Plan Organization\n\n2:50–3:05 pm: Tea Break\n3:05–3:35 pm: Trainee Research Talk: Rikki Garner (Harvard)\n3:40–4:10 pm: Trainee Research Talk: Chaitra Prabhakara (Harvard) — One Morphogen\, Diverse Patterns: Unraveling Muscle Formation Across the Embryonic Gut Axis\n\n  \nWeek 3: March 10–11\, 2026 \nTuesday\, 3/10/26 \n\n9:00–9:30 am: Breakfast\n\n9:30–10:30 am: Research talk: Adam Martin (MIT) — Getting in shape: geometry\, mechanics\, and signaling in living epithelia\n\n10:30–11:00 am: Tea break\n\n11:00 am–12:00 pm: Research talk: Yohannes Bellaiche (Institut Curie) — How do cells and tissues sense their size to tailor their dynamics during development?\n12:00–1:30 pm: Lunch Break\n\n1:30–2:15 pm: Research talk: Sahand Hormoz (Harvard) — Learning the rules of morphogenesis\n\nWednesday\, 3/11/26 \n\n9:00–9:30 am: Breakfast\n\n9:30–10:15 am: Research talk: Thomas Gregor (Pasteur Institute & Princeton) — From Fluctuations to Form: Empirical Laws and Scaling Principles in Development\n\n10:15–11:00 am: Research talk: Allison Kann (Harvard) — How to rebuild an organ: The cellular choreography of whole-body regeneration\n\n11:00–11:30 am: Tea Break\n11:30 am–12:00 pm: Research talk: Chandra Kuyyamudi Ashwinikumar (Harvard)\n12:00–12:30 pm: Research talk: Purnati Khuntia (Harvard) — Role of Nucleus in Building Epithelial Tissues \n1:00 pm: Lunch: CMSA Common Room\, catered\n\n\n\n  \n  \n  \n  \n  \n 
URL:https://cmsa.fas.harvard.edu/event/bioshape_2026/
LOCATION:CMSA 20 Garden Street Cambridge\, Massachusetts 02138 United States
CATEGORIES:Programs
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Biology1_21926.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260302T163000
DTEND;TZID=America/New_York:20260302T173000
DTSTAMP:20260404T210937
CREATED:20260206T191834Z
LAST-MODIFIED:20260224T141143Z
UID:10003890-1772469000-1772472600@cmsa.fas.harvard.edu
SUMMARY:Inverse problems in soft and active matter
DESCRIPTION:Colloquium \nSpeaker: L. Mahadevan\, Harvard \nTitle: Inverse problems in soft and active matter \nAbstract: How can one grow a face or a flower from a flat sheet? Fold a sheet into an origami pattern? Control phase separation? Transport a drop of active matter?  Steer an ant swarm? I will discuss potential answers to some of these inverse problems that unites ideas from optimal control and optimal transport for the steering of particles and fields.
URL:https://cmsa.fas.harvard.edu/event/colloquium-3226/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Colloquium-3.2.2026.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260303T161500
DTEND;TZID=America/New_York:20260303T180000
DTSTAMP:20260404T210937
CREATED:20251223T191945Z
LAST-MODIFIED:20260209T160052Z
UID:10003853-1772554500-1772560800@cmsa.fas.harvard.edu
SUMMARY:Solitonic Symmetry: Cohomology with TFT Coefficients
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: Sanjay Raman\, Harvard \nTitle: Solitonic Symmetry: Cohomology with TFT Coefficients \nAbstract: We review the formalism of https://arxiv.org/pdf/2307.00939\, which develops the theory of solitonic symmetry in quantum field theory. The algebraic structure of solitonic symmetry is determined by the fusion of topological functionals in a given path-integral formulation of topological field theory\, and acts generically on topological defects determined by homotopy classes of maps to a “space of fields.” We will argue that the structure of solitonic symmetry in a theory with field space (Y) assembles into what looks like the cohomology of (Y) with coefficients in TFTs. We study this formalism in examples and show in particular that the maximal invertible solitonic subsymmetry reduces to the expected result.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_3326/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-3.3.26-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260304T160000
DTEND;TZID=America/New_York:20260304T170000
DTSTAMP:20260404T210937
CREATED:20260108T200326Z
LAST-MODIFIED:20260316T161023Z
UID:10003868-1772640000-1772643600@cmsa.fas.harvard.edu
SUMMARY:2026 Ding Shum Lecture: Sanjeev Arora\, Princeton
DESCRIPTION:2026 Ding Shum Lecture \nDate: March 4\, 2026 \nTime: 4:00 pm \nLocation: Harvard Science Center Hall D & via Zoom Webinar \nSpeaker: Sanjeev Arora\, Princeton \nTitle: How could a Superhuman AI mathematician come about? \n\nAbstract: Can AI systems exceed the capabilities of the human experts who provided their training data? The talk will examine the hypothesis of AI self‑improvement\, involving mechanisms such as synthetic data generation\, reinforcement learning\, and tool‑augmented reasoning with formal verification loops. \nI will also present recent work at Princeton\, including the Gödel Prover V2 for Lean‑based theorem proving and a new inference pipeline that achieved state‑of‑the‑art performance (at the time of evaluation) on IMO‑ProofBench (Advanced) at moderate inference costs ($20–$30 per problem). These will illustrate how AI systems are sometimes able to escape “cognitive wells”—local optima in a model’s reasoning capabilities. While providing evidence for the feasibility of self‑improvement\, they also highlight important hurdles and open questions. \n\n  \n\n \nSanjeev Arora is Charles C. Fitzmorris Professor of Computer Science and Director of Princeton Language and Intelligence\, a unit devoted to research and applications of large AI models. He got his Phd from UC Berkeley in 1994 and has been a faculty member at Princeton since then. He has been awarded the ACM Prize in Computing (2011)\, Fulkerson Prize in Discrete Mathematics (2012)\, Packard Fellowship\, Sloan Fellowship\, and the ACM Doctoral Dissertation Prize. He was a plenary speaker at the International Congress of Mathematicians in 2018 and is a member of the National Academy of Science and American Academy of Arts and Sciences. \n\n\n\n\n\nThis event is made possible by the generous funding of Ding Lei and Harry Shum.\n\n\n 
URL:https://cmsa.fas.harvard.edu/event/2026_dingshum/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Ding Shum Lecture,Event,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Ding-Shum-2026_hall-d.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260305T133000
DTEND;TZID=America/New_York:20260305T143000
DTSTAMP:20260404T210937
CREATED:20260220T155737Z
LAST-MODIFIED:20260303T174902Z
UID:10003909-1772717400-1772721000@cmsa.fas.harvard.edu
SUMMARY:Fukaya categories and higher representation theory
DESCRIPTION:Differential Geometry and Physics Seminar  \nSpeaker: Vivek Shende (Syddansk Universitet & UC Berkeley) \nTitle: Fukaya categories and higher representation theory \nAbstract: I will explain how Lagrangian Floer homology in certain monopole moduli spaces recovers the Khovanov homology and its relatives\, by a description strikingly similar to the Oszvath-Szabo Heegard-Floer theory.  I will also explain how the ‘sectorial descent’ of Fukaya categories can be used to construct Rouquier’s promised monoidal structure on the category of representations of the categorified “positive part” of the quantum group.  This is joint work with Mina Aganagic\, Elise LePage\, and Peng Zhou. \nNote: Location change to Harvard Science Center Room 300H \n 
URL:https://cmsa.fas.harvard.edu/event/dgphys_3526/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Differential Geometry and Physics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/DG-Physics-Seminar-3.5.26.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260306T150000
DTEND;TZID=America/New_York:20260306T171500
DTSTAMP:20260404T210937
CREATED:20260205T145433Z
LAST-MODIFIED:20260225T152603Z
UID:10003889-1772809200-1772817300@cmsa.fas.harvard.edu
SUMMARY:Freedman Seminar: Mattie Ji\, Penn and Jeongwan Haah\, Stanford
DESCRIPTION:Freedman Seminar \nSpeakers: Mattie Ji (Penn) and Jeongwan Haah (Stanford) \nMattie Ji Title: Quantum Cellular Automata via Algebraic K-Theory \nAbstract: Algebraic K-theory\, on a very high level\, is the study of how to break apart and assemble objects linearly\, which makes the field amenable to classification questions. In this work\, we apply this methodology to study the classification of quantum cellular automata (QCA). Over an arbitrary commutative ring R and a general class of metric spaces X\, we construct a space of QCA that depends only on the large-scale (coarse) geometry of X. We explain how QCA classification groups (QCA modulo circuits) either arise naturally as or are refined by this space in most cases of interest. \nMotivated by negative K-theory\, we also show the classification of QCA on Euclidean lattices is given by an $\Omega$-spectrum indexed by the dimension. As a corollary\, we also obtain a non-connective delooping of the K-theory of Azumaya R-algebras\, whose negative homotopy groups are the QCA classification groups. When R is the complex numbers\, our method can be adapted to yield an $\Omega$-spectrum for QCA of $C^*$-algebras with unitary circuits. This talk is based on joint work with Bowen Yang. \n  \nJeongwan Haah Title: Fermionic QCA in 2d are trivial \nAbstract: We consider bounded spread automorphisms of Z/2-graded algebra (fermionic QCA) on the two-dimensional lattice and prove that every fQCA is a unitary circuit followed by fermionic shifts when stabilized by Majorana modes. This is an analog of a theorem by Freedman and Hastings for the case of ungraded algebras. The overall argument follows a similar line in that we show invertible subalgebras in 1d is trivial\, but the stabilization is used crucially. By an existing argument\, this triviality of fQCA in 2d implies that the 3d (bosonic) QCA that disentangles the Walker-Wang model with three-fermion theory is nontrivial. The latter was known to be nontrivial against Clifford gates but remained conjectural against more general unitary gates. To my knowledge\, this gives the only example ungraded QCA that is proved to be nontrivial against general unitary circuits and shifts\, and the only example ungraded invertible subalgebra that is not isomorphic to any tensor product algebra. I will explain elements new to the fermionic setting and give an overview of the nontriviality argument. (Based on an upcoming work with Jeffrey Kwan and David Long)
URL:https://cmsa.fas.harvard.edu/event/freedman_3626/
LOCATION:Hybrid
CATEGORIES:Freedman Seminar
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260309T150000
DTEND;TZID=America/New_York:20260309T160000
DTSTAMP:20260404T210937
CREATED:20260224T160904Z
LAST-MODIFIED:20260224T160904Z
UID:10003910-1773068400-1773072000@cmsa.fas.harvard.edu
SUMMARY:Quantum Field Theory and Physical Mathematics
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Davide Gaiotto (Perimeter Institute)
URL:https://cmsa.fas.harvard.edu/event/qft_3926-2/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Field Theory and Physical Mathematics
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260310T084500
DTEND;TZID=America/New_York:20260310T101500
DTSTAMP:20260404T210937
CREATED:20260127T153158Z
LAST-MODIFIED:20260316T161125Z
UID:10003881-1773132300-1773137700@cmsa.fas.harvard.edu
SUMMARY:CMSA/Tsinghua Math-Science Literature Lecture: Martin Bridson: Profinite rigidity: Chasing finite shadows of infinite groups
DESCRIPTION:CMSA/Tsinghua Math-Science Literature Lecture \n \nDate: March 10\, 2026 \nTime: 8:45 – 10:15 am ET \nLocation: Harvard Science Center Hall A\, 1 Oxford Street\, Cambridge MA &  via Zoom Webinar \nSpeaker: Martin Bridson FRS is the Whitehead Professor of Pure Mathematics at Oxford and President of the Clay Mathematics Institute. \nTitle: Profinite rigidity: Chasing finite shadows of infinite groups \nAbstract: There are many situations in geometry or elsewhere in mathematics where it is natural or convenient to explore infinite groups of symmetries via their actions on finite objects. But how hard is it to find these finite manifestations and to what extent does the collection of all such actions determine the infinite group?\nIn this talk\, I will sketch some of the rich history of such problems and then describe some of the significant advances in recent years. \nWe’ll pay particular attention to groups that arise in 3-dimensional geometry and topology. \n  \n\nBeginning in Spring 2020\, the CMSA began hosting a lecture series on literature in the mathematical sciences\, with a focus on significant developments in mathematics that have influenced the discipline\, and the lifetime accomplishments of significant scholars. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/mathscilit2026_mb/
CATEGORIES:Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Mathlit_Bridson-poster.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260310T161500
DTEND;TZID=America/New_York:20260310T180000
DTSTAMP:20260404T210937
CREATED:20260302T172556Z
LAST-MODIFIED:20260309T175638Z
UID:10003914-1773159300-1773165600@cmsa.fas.harvard.edu
SUMMARY:TQFTs do not detect the Milnor sphere
DESCRIPTION:Joint Math/CMSA Geometry and Quantum Theory Seminar \nSpeaker: Lorenzo Riva\, Harvard CMSA \nTitle: TQFTs do not detect the Milnor sphere \nAbstract: I will talk about the recent paper of Gripaios and Randall-Williams with that title\, where they prove that a functorial TQFT (i.e. a symmetric monoidal functor from the n-dimensional bordism category into a suitably nice target category) assigns the same value to homotopy spheres that bound a parallelizable manifold\, extending some no-go theorems of Reutter and Schommer-Pries.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_31026/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Geometry-and-Quantum-Theory-Seminar-03.10.26-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260311T170000
DTEND;TZID=America/New_York:20260311T180000
DTSTAMP:20260404T210937
CREATED:20250409T160708Z
LAST-MODIFIED:20260316T161233Z
UID:10003724-1773248400-1773252000@cmsa.fas.harvard.edu
SUMMARY:Millennium Prize Problems Lecture - Javier Gómez-Serrano: Navier-Stokes Existence or Breakdown
DESCRIPTION:Date: March 11\, 2026 \nTime: 5:00–6:00 pm \nLocation: Harvard Science Center Hall C\, 1 Oxford St.\, Cambridge MA & via Zoom Webinar \nSpeaker: Javier Gómez-Serrano\, Brown University \nTitle: Navier-Stokes Existence or Breakdown \nAbstract: The Navier-Stokes equations have been the cornerstone of fluid dynamics for over a century\, accurately describing the motion of viscous fluids such as water and air. However\, despite their fundamental importance to mathematics and physics\, a profound question remains unanswered: do solutions to these equations always exist for all time\, or can they break down and develop singularities (points where the equations lose their validity)? In this Millennium Prize Problems Lecture\, I will explore the current mathematical landscape surrounding the Navier-Stokes and related equations. The talk will discuss the historical context\, the ongoing search for global regularity versus finite-time blowup\, and the latest analytical and computational breakthroughs pushing the boundaries of what we know about fluid behavior. \nRead more about the Navier-Stokes Equation at the Clay Math website. \n  \nOrganizers: Martin Bridson\, Clay Mathematics Institute | Dan Freed\, Harvard University and CMSA | Mike Hopkins\, Harvard University \n\n                   \n\nMillennium Prize Problems Lecture Series
URL:https://cmsa.fas.harvard.edu/event/clay_31126/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Millennium Prize Problems Lecture,Special Lectures
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Gomez-Serrano_web-ad3_crop.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260312T133000
DTEND;TZID=America/New_York:20260312T143000
DTSTAMP:20260404T210937
CREATED:20260309T143543Z
LAST-MODIFIED:20260309T161222Z
UID:10003915-1773322200-1773325800@cmsa.fas.harvard.edu
SUMMARY:Strongly adapted contact geometry of Anosov 3-flows
DESCRIPTION:Differential Geometry and Physics Seminar  \nSpeaker: Surena Hozoori (Brandeis) \nTitle: Strongly adapted contact geometry of Anosov 3-flows \nAbstract: We will discuss some recent developments in the contact geometric theory of Anosov 3-flows\, whose roots go back to the works of Mitsumatsu and Eliashberg-Thurston in the mid 1990s. In particular\, we provide a contact geometric characterization of Anosov 3-flows based on interactions with Reeb dynamics\, as well as investigate the basic properties of the resulting geometries. Time permitting\, we will discuss how these results allow one to re-approach some classical questions in Anosov dynamics.
URL:https://cmsa.fas.harvard.edu/event/dgphys_31226/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Differential Geometry and Physics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/DG-Physics-Seminar-3.12.26-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260316T150000
DTEND;TZID=America/New_York:20260316T160000
DTSTAMP:20260404T210937
CREATED:20260224T160950Z
LAST-MODIFIED:20260311T180714Z
UID:10003911-1773673200-1773676800@cmsa.fas.harvard.edu
SUMMARY:Finite N indices from branes and negative branes
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Kasia Budzik (Harvard University) \nTitle: Finite N indices from branes and negative branes \nAbstract: Finite-N effects in large-N gauge theories\, such as trace relations\, are expected to be holographically dual to non-perturbative phenomena in string theory\, such as Giant Graviton branes. A convenient setting to study these effects are supersymmetric indices of U(N) gauge theories. The finite-N indices can be reproduced by a series of corrections to the infinite-N result\, known as the Giant Graviton expansion.\nIn this talk I will present a generalization of the Molien-Weyl formula computing generating functions of invariants of supergroups U(N|M)\, which arise as gauge groups of brane/negative brane systems in string theory. The formula leads to a new expansion relating finite-N and infinite-N indices of U(N) gauge theories. I will comment on its relation to Murthy’s Giant Graviton expansion and suggest a physical interpretation in terms of branes and negative branes. This talk is based on arXiv:2509.20451 and work in progress with Davide Gaiotto.
URL:https://cmsa.fas.harvard.edu/event/qft_31626/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Field Theory and Physical Mathematics
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QFT-and-Physical-Mathematics-3.16.26.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260318T140000
DTEND;TZID=America/New_York:20260318T150000
DTSTAMP:20260404T210937
CREATED:20260309T145907Z
LAST-MODIFIED:20260311T161332Z
UID:10003916-1773842400-1773846000@cmsa.fas.harvard.edu
SUMMARY:Dynamic reasoning
DESCRIPTION:New Technologies in Mathematics Seminar \nSpeaker: Emmanuel Abbé\, EPFL\, Institute of Mathematics and School of Computer and Communication Sciences & Apple \nTitle: Dynamic reasoning \nAbstract: In the current AI landscape\, reasoning is frequently equated with the generation of intermediate “thinking traces”. However\, these traces are merely a mechanism\, not the ultimate objective.\nRelying solely on the presence of a trace can be deceptive\, as models often learn to mimic the format of reasoning while effectively overfitting to specific training distributions.\nTo build more robust and versatile reasoners\, we shift our focus to more specific structural properties of the thinking process\, in particular compositionality (inductive CoT\, AdaBack) and abstraction (AbstRaL).
URL:https://cmsa.fas.harvard.edu/event/newtech_31826-2/
LOCATION:Virtual
CATEGORIES:New Technologies in Mathematics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-NTM-Seminar-3.18.2026.docx-1-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260319T160000
DTEND;TZID=America/New_York:20260319T170000
DTSTAMP:20260404T210937
CREATED:20260127T192620Z
LAST-MODIFIED:20260310T190851Z
UID:10003882-1773936000-1773939600@cmsa.fas.harvard.edu
SUMMARY:Moduli of subcanonical points
DESCRIPTION:Algebra Seminar \nSpeaker: Dawei Chen\, Boston College \nTitle: Moduli of subcanonical points \nAbstract: Subcanonical points are special Weierstrass points on smooth algebraic curves whose semigroups are symmetric. In this talk\, I will explain the rich geometry of the moduli space of subcanonical points\, with a focus on its connected components\, birational geometry\, topology\, and the deformation theory of related monomial singularities.
URL:https://cmsa.fas.harvard.edu/event/algebra-seminar_31926/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Algebra Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Algebra-Seminar-3.19.26.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260324T161500
DTEND;TZID=America/New_York:20260324T180000
DTSTAMP:20260404T210937
CREATED:20260323T143256Z
LAST-MODIFIED:20260323T143854Z
UID:10003919-1774368900-1774375200@cmsa.fas.harvard.edu
SUMMARY:Line operators in holomorphic QFT
DESCRIPTION:Joint Math/CMSA Geometry and Quantum Theory Seminar \nSpeaker: Keyou Zeng (CMSA) \nTitle: Line operators in holomorphic QFT \nAbstract: We will discuss the recent work (arxiv:2508.11749)\, which defines the so called dg shifted Yangian. I will discuss their origin from the study of 3d holomorphic topological field theories\, a variant of 3d TQFT. A dg shifted Yangian is supposed to control the fusion of line defect in the corresponding 3d HT theories. I will illustrate these discussions in examples.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_32426/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Geometry-and-Quantum-Theory-Seminar-03.24.26-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260326T133000
DTEND;TZID=America/New_York:20260326T143000
DTSTAMP:20260404T210937
CREATED:20260323T144545Z
LAST-MODIFIED:20260324T172207Z
UID:10003921-1774531800-1774535400@cmsa.fas.harvard.edu
SUMMARY:Gauge theory on Hyperkähler manifolds
DESCRIPTION:Differential Geometry and Physics Seminar  \nSpeaker. Emily Autumn Windes (New Uzbekistan University) \nTitle: Gauge theory on Hyperkähler manifolds \nAbstract: In this talk\, I describe various distinguished classes of connections on Hyperkähler manifolds and their dimensional reductions. Then\, I describe a construction of new examples of Sp(2)-instantons\, primitive HYM connections\, and Spin(7)-instantons with symmetry on the manifold T*CP2. This talk is based on joint work with Jesse Madnick and Izar Alonso.
URL:https://cmsa.fas.harvard.edu/event/dgphys_32627/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Differential Geometry and Physics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/DG-Physics-Seminar-3.26.26.docx-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260326T160000
DTEND;TZID=America/New_York:20260326T170000
DTSTAMP:20260404T210937
CREATED:20260127T192705Z
LAST-MODIFIED:20260310T192236Z
UID:10003883-1774540800-1774544400@cmsa.fas.harvard.edu
SUMMARY:The Beilinson-Bloch conjecture for some non-isotrivial varieties over global function fields
DESCRIPTION:Algebra Seminar \nSpeaker: Matt Broe\, Boston University \nTitle: The Beilinson-Bloch conjecture for some non-isotrivial varieties over global function fields \nAbstract: The Beilinson-Bloch conjecture is a generalization of the Birch and Swinnerton-Dyer conjecture\, which relates the ranks of Chow groups of smooth projective varieties over global fields to the order of vanishing of L-functions. We prove the conjecture for certain classes of non-isotrivial varieties over Fq(t)\, including some cubic threefolds and fivefolds. We deduce the Birch and Swinnerton-Dyer conjecture for their intermediate Jacobians\, and use it to establish new cases of the Tate conjecture over finite fields. \n 
URL:https://cmsa.fas.harvard.edu/event/algebra-seminar_32626/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Algebra Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Algebra-Seminar_3.26.26.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260327T150000
DTEND;TZID=America/New_York:20260327T171500
DTSTAMP:20260404T210937
CREATED:20260323T145751Z
LAST-MODIFIED:20260323T194752Z
UID:10003922-1774623600-1774631700@cmsa.fas.harvard.edu
SUMMARY:Exotic R^4's are unclassifiable
DESCRIPTION:Freedman Seminar \nSpeaker: Robert Gompf\, UT Austin \nTitle: Exotic R^4’s are unclassifiable \nAbstract: We will use descriptive set theory to show that there is a precise sense in which exotic R^4’s are unclassifiable. For other open manifolds\, we can reach a much higher level of unclassifiability. This is work in progress with Aristotelis Panagiotopoulos.
URL:https://cmsa.fas.harvard.edu/event/freedman_32726/
LOCATION:Virtual
CATEGORIES:Freedman Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Freedman-Seminar-3.27.26-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260330T150000
DTEND;TZID=America/New_York:20260330T160000
DTSTAMP:20260404T210937
CREATED:20260126T190411Z
LAST-MODIFIED:20260325T163011Z
UID:10003879-1774882800-1774886400@cmsa.fas.harvard.edu
SUMMARY:K-theoretic stable envelopes\, quantum loop groups and wall-crossings
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Tianqin Zhu\, Columbia University \nTitle: K-theoretic stable envelopes\, quantum loop groups and wall-crossings \nAbstract: The stable envelope is an important tool in both geometric representation theory and the enumerative geometry. One of the most important application is that it generates the geometric quantum loop group via the FRT formalism. In this talk\, we will show that the geometric quantum loop group is isomorphic to the Drinfeld double given by the preprojective K-theoretic Hall algebra and the nilpotent K-theoretic Hall algebra. Moreover we will show a more refined result that the wall-crossing for the K-theoretic stable envelope is controlled by the universal R-matrix for the slope subalgebra of the Drinfeld double\, which leads to the isomorphism between the wall subalgebra in geometric quantum loop groups and the slope subalgebras in the Drinfeld double. If time permits\, I will talk about the recent progress of such isomorphism in the case of the critcial stable envelopes in both critical K-theory and critical cohomology. This is based on the work 2511.02161 \n 
URL:https://cmsa.fas.harvard.edu/event/qft_33026/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Field Theory and Physical Mathematics
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QFT-and-Physical-Mathematics-3.30.26.docx.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260331T161500
DTEND;TZID=America/New_York:20260331T180000
DTSTAMP:20260404T210937
CREATED:20260323T144017Z
LAST-MODIFIED:20260330T153340Z
UID:10003920-1774973700-1774980000@cmsa.fas.harvard.edu
SUMMARY:1-shifted Yangians from 1-shifted Lie bialgebras
DESCRIPTION:Joint Math/CMSA Geometry and Quantum Theory Seminar \nSpeaker: Vasily Krylov\, Harvard \nTitle: 1-shifted Yangians from 1-shifted Lie bialgebras \nAbstract: In the previous talk\, Keyou explained that the fusion of line defects in 3d holomorphic–topological field theories is expected to be governed by so-called DG-shifted Yangians. Following arXiv:2503.08770\, I will present examples of such DG-shifted Yangians arising from 1-shifted Lie bialgebras. We will discuss both the classical and DG-shifted settings from a purely mathematical perspective.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_33126/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Geometry-and-Quantum-Theory-Seminar-03.31.26-scaled.png
END:VEVENT
END:VCALENDAR