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DTSTART;TZID=America/New_York:20260518T090000
DTEND;TZID=America/New_York:20260522T170000
DTSTAMP:20260426T044134
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SUMMARY:Workshop on Calabi-Yau metrics and optimal transport
DESCRIPTION:Workshop on Calabi-Yau metrics and optimal transport \nDates: May 18–22\, 2026 \nLocation: Harvard CMSA\, 20 Garden Street\, Cambridge MA \nRecent advances in the study of Calabi-Yau metrics have revealed an interesting connection with optimal transport\, and the regularity theory for optimal transport is expected to play an increasingly important role in the study of Kähler geometry. The goal of this workshop is to bring together the optimal transport and complex geometry communities to investigate problems arising from these exciting developments. \nLimited support may be available for approved postdocs and early career applicants. The application form can be found at: https://forms.gle/1zxTEKhZyz4TPfSY6 \n  \nRegister to attend in-person \nRegister for Zoom Webinar \n  \nMinicourse Speakers \n\nRobert McCann\, University of Toronto\nYang Li\, Cambridge University\n\nWorkshop Speakers \n\nRolf Andreasson\, Chalmers University\, Sweden\nBenjy Firester\, MIT\nJakob Hultgren\, Umea University\, Sweden\nYoung-Heon Kim\, University of British Columbia\nNam Le\, Indiana University\nJiakun Liu\, University of Sydney\nDuong H. Phong\, Columbia University\nArghya Rakshit\, University of Toronto\nGabor Szekelyhidi\, Northwestern University\nYueqiao Wu\, Johns Hopkins University\n\nOrganizers: \n\nTristan Collins\, University of Toronto\nMattias Jonsson\, University of Michigan\nConnor Mooney\, University of California\, Irvine\nFreid Tong\, University of Toronto\n\n  \n  \nSchedule (subject to change) \nMonday\, May 18\, 2026 \n9:00–9:30 am\nBreakfast \n9:30–10:45 am\nTutorial: Yang Li\, Cambridge University (via Zoom Webinar) \n10:45–11:15 am\nBreak \n11:15 am–12:30 pm\nTutorial: Robert McCann\, University of Toronto\nTitle: A geometric approach to apriori estimates for optimal transport maps\nAbstract: A key inequality which underpins the regularity theory of optimal transport for costs satisfying the Ma-Trudinger-Wang condition is the Pogorelov second derivative bound. This translates to an a priori interior modulus of the differential estimate for smooth optimal maps. We describe a new derivation of this estimate with Brendle\, Leger and Rankin which relies in part on Kim\, McCann\, and Warren’s observation that the graph of an optimal map becomes a volume maximizing non-timelike submanifold when the product of the source and target domains is endowed with a suitable pseudo-Riemannian geometry that combines both the marginal densities and the cost. This unexpected links optimal transport to the plateau problem in geometry with split signature\, and shows the key difficulty is showing the maximizing non-timelike submanifold is in fact (uniformly) spacelike. J. Reine Angew. Math. 817 (2024) 251-266 doi.org/10.1515/crelle-2024-0071 arXiv 2311.10208 \n12:30–2:00 pm\nLunch (catered) \n2:00–3:15 pm\nTalk: Nam Le\, Indiana University\nTitle: Variational approach to degenerate Monge-Ampère equations with mixed measures and monotonicity\nAbstract: In this talk\, we will discuss the solvability and uniqueness for several degenerate Monge-Ampère equations including the Monge-Ampère eigenvalue problem in real Euclidean spaces that involve singular Borel measures. Our approach systematically analyzes the Monge-Ampère energy from the variational point of view and appropriately exploits monotonicity arguments. We will examine several essential tools: the mixed Monge-Ampère measure\, Aleksandrov-Blocki-Jerison type maximum principles\, convex envelope\, comparison principles for subcritical equations\, and integration by parts whose failure leads to symmetry breaking and nonuniqueness phenomena. \n3:15–3:45 pm\nBreak \n3:45–5:00 pm\nTalk: Yueqiao Wu\, Johns Hopkins University \n  \nTuesday\, May 19\, 2026 \n9:00–9:30 am\nBreakfast \n9:30–10:45 am\nTutorial: Robert McCann\, University of Toronto\nTitle: Trading linearity for ellipticity: A low regularity Lorentzian splitting theorem\nAbstract: While Einstein’s theory of gravity is formulated in a smooth setting\, the celebrated singularity theorems of Hawking and Penrose describe many physical situations in which this smoothness must eventually breakdown. It is thus of great interest to study the theory in low regularity settings. In the lecture\, we establish a low regularity splitting theorem by sacrificing linearity of the d’Alembertian to recover ellipticity. We exploit a negative homogeneity $p$-d’Alembert operator for this purpose. The same technique yields a simplified proof of Eschenberg (1988) Galloway (1989) and Newman’s (1990) confirmation of Yau’s (1982) conjecture\, bringing all three Lorentzian splitting results into a framework closer to the Cheeger-Gromoll splitting theorem from Riemannian geometry. Based on joint work with Mathias Braun\, Nicola Gigli\, Argam Ohanyan\, and Clemens Saemann: 1) arXiv 2501.00702 2) arXiv 2408.15968 3) arXiv 2410.12632 4) arXiv 2507.06836 \n10:45–11:15 am\nBreak \n11:15 am–12:30 pm\nTutorial: Yang Li\, Cambridge University (via Zoom Webinar) \n12:30–2:00 pm\nLunch Break \n2:00–3:15 pm\nTalk: Young-Heon Kim\, University of British Columbia \n3:15–3:45 pm\nBreak \n3:45–5:00 pm\nTalk: Duong Phong\, Columbia University \n6:30 pm\nDinner \n  \nWednesday\, May 20\, 2026 \n9:00–9:30 am\nBreakfast \n9:30–10:45 am\nTutorial: Yang Li\, Cambridge University (via Zoom Webinar) \n10:45–11:15 am\nBreak \n11:15 am–12:30 pm\nTutorial: Robert McCann\, University of Toronto\nTitle: The monopolist’s free boundary problem in the plane: an excursion into the economic value of private information\nAbstract: The principal-agent problem is an important paradigm in economic theory for studying the value of private information: the nonlinear pricing problem faced by a monopolist is one example; others include optimal taxation and auction design. For multidimensional spaces of consumers (i.e. agents) and products\, Rochet and Chone (1998) reformulated this problem as a concave maximization over the set of convex functions\, by assuming agent preferences are bilinear in the product and agent parameters. This optimization corresponds mathematically to a convexity-constrained obstacle problem. The solution is divided into multiple regions\, according to the rank of the Hessian of the optimizer.\nIf the monopolists costs grow quadratically with the product type we show that a partially smooth free boundary delineates the region where it becomes efficient to customize products for individual buyers. We give the first complete solution of the problem on square domains\, and discover new transitions from unbunched to targeted and from targeted to blunt bunching as market conditions become more and more favorable to the seller.\nBased on works with Kelvin Shuangjian Zhang\, Cale Rankin\, and Lucas O’Brien in various combinations:\n1) Math. Models Methods Appl. Sci. 34 (2024) 2351-2394; 2) J. Convex Anal. (Rockafellar 90 Issue)\, 32 (2) (2025) 579-584; 3) arXiv 2303.04937; 4) arxiv 2412.15505; 5) arXiv 2603.14100. \n  \nThursday\, May 21\, 2026 \n9:00–9:30 am\nBreakfast \n9:30–10:45 am\nTalk: Gabor Szekelyhidi\, Northwestern University \n10:45–11:15 am\nBreak \n11:15 am–12:30 pm\nTalk: Rolf Andreasson\, Chalmers University\, Sweden \n12:30–2:00 pm\nLunch Break \n2:00–3:15 pm\nTalk: Jakob Hultgren\, Umea University\, Sweden \n3:15–3:45 pm\nBreak \n3:45–5:00 pm\nTalk: Benjy Firester\, MIT \n  \nFriday\, May 22\, 2026 \n9:00–9:30 am\nBreakfast \n9:30–10:45 am\nTalk: Jiakun Liu\, University of Sydney\nTitle: Free boundary problems in optimal transportation\nAbstract: In this talk\, I will present some recent results on the regularity of free boundaries in optimal transportation\, including higher-order regularity\, global regularity\, and a model case involving multiple targets. These results are based on a series of joint works with Shibing Chen\, Xianduo Wang\, and Xu-Jia Wang. \n10:45–11:15 am\nBreak \n11:15 am–12:30 pm\nTalk: Arghya Rakshit\, University of Toronto\nTitle: Solutions to the Monge–Ampère equation with singular structures\nAbstract: We construct examples of solutions to the Monge–Ampère equation with point masses exhibiting polyhedral singular structures. We further analyze the stability of these singular sets under small perturbations of the data. In addition\, we construct solutions whose Monge–Ampère measure contains a singular component supported on lower-dimensional sets and we study the regularity of such solutions. \n 
URL:https://cmsa.fas.harvard.edu/event/cymetrics/
LOCATION:CMSA 20 Garden Street Cambridge\, Massachusetts 02138 United States
CATEGORIES:Workshop
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/CY-Workshop_2.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260518T150000
DTEND;TZID=America/New_York:20260518T160000
DTSTAMP:20260426T044134
CREATED:20260413T151244Z
LAST-MODIFIED:20260413T151244Z
UID:10003933-1779116400-1779120000@cmsa.fas.harvard.edu
SUMMARY:Quantum Field Theory and Physical Mathematics
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \n 
URL:https://cmsa.fas.harvard.edu/event/qft_51826/
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:20260903T090000
DTEND;TZID=America/New_York:20260904T170000
DTSTAMP:20260426T044134
CREATED:20260217T174509Z
LAST-MODIFIED:20260217T174509Z
UID:10003846-1788426000-1788541200@cmsa.fas.harvard.edu
SUMMARY:Big Data Conference 2026
DESCRIPTION:Big Data Conference 2026 \nDates: Sep. 3–4\, 2026 \nLocation: Harvard University CMSA\, 20 Garden Street\, Cambridge & via Zoom \nThe Big Data Conference features speakers from the Harvard community as well as scholars from across the globe\, with talks focusing on computer science\, statistics\, math and physics\, and economics. \nDetails TBA \n 
URL:https://cmsa.fas.harvard.edu/event/bigdata_2026/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Big Data Conference,Conference,Event
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260908T090000
DTEND;TZID=America/New_York:20260911T170000
DTSTAMP:20260426T044134
CREATED:20260217T174544Z
LAST-MODIFIED:20260217T174544Z
UID:10003847-1788858000-1789146000@cmsa.fas.harvard.edu
SUMMARY:The Geometry of Machine Learning 2026
DESCRIPTION:The Geometry of Machine Learning 2026 \nDates: September 8–11\, 2026 \nLocation: Harvard CMSA\, Room G10\, 20 Garden Street\, Cambridge MA 02138 \nOrganizers: Michael R. Douglas (CMSA) and Mike Freedman (CMSA) \n  \nDetails TBA \n  \nSupport provided by Logical Intelligence. \n \n  \n 
URL:https://cmsa.fas.harvard.edu/event/gml_2026/
LOCATION:CMSA 20 Garden Street Cambridge\, Massachusetts 02138 United States
CATEGORIES:Conference,Event
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260915T090000
DTEND;TZID=America/New_York:20261121T170000
DTSTAMP:20260426T044134
CREATED:20251023T141842Z
LAST-MODIFIED:20251031T194700Z
UID:10003825-1789462800-1795280400@cmsa.fas.harvard.edu
SUMMARY:Lagrangian Floer theory and applications Program
DESCRIPTION:Lagrangian Floer theory and applications Program \nDates: September 15-November 21\, 2026 \nLocation: CMSA G10\, 20 Garden St.\, Cambridge MA 02138 \nThis thematic program will focus on recent developments in Lagrangian Floer theory and applications.  These include the development of family Floer theory\, degeneration techniques\, Floer homotopy theory in the Lagrangian case\, Floer theory in prime characteristic\, and applications to problems in singularity theory\, geometry and dynamics. \nA one-week workshop will be held near the start of the program (September 28 – October 2\, 2026)\, with the same title as the thematic program. \nOrganizers: Denis Auroux (Harvard)\, Jonny Evans (Lancaster)\, and Chris Woodward (Rutgers) \n  \nDetails TBA \n  \n \nimage: Water Sky Garden\, Vancouver\nDate: 31 January 2010\, 12:57:46\nSource: Studio Echelman\nAuthor: Peter Vanderwarker\, Studio Echelman \n 
URL:https://cmsa.fas.harvard.edu/event/lft2026/
LOCATION:CMSA 20 Garden Street Cambridge\, Massachusetts 02138 United States
CATEGORIES:Programs
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260916T090000
DTEND;TZID=America/New_York:20260916T103000
DTSTAMP:20260426T044134
CREATED:20260422T170335Z
LAST-MODIFIED:20260422T170806Z
UID:10003938-1789549200-1789554600@cmsa.fas.harvard.edu
SUMMARY:CMSA/Tsinghua Math-Science Literature Lecture: Robert Gompf
DESCRIPTION:CMSA/Tsinghua Math-Science Literature Lecture \nDate: September 16\, 2026 \nTime: 9:00 – 10:30 am ET \nLocation: CMSA G10\, 20 Garden Street & via Zoom Webinar \nSpeaker: Robert E. Gompf\, University of Texas\, Austin \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_rg/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Math Science Literature Lecture Series,Public Lecture,Special Lectures
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260916T120000
DTEND;TZID=America/New_York:20260916T130000
DTSTAMP:20260426T044134
CREATED:20260423T161606Z
LAST-MODIFIED:20260423T161637Z
UID:10003939-1789560000-1789563600@cmsa.fas.harvard.edu
SUMMARY:CMSA Q&A Seminar: Hugh Woodin\, Harvard
DESCRIPTION:CMSA Q&A Seminar \nSpeaker: Hugh Woodin\, Harvard \nTitle: Truth\, proof\, and AI \n  \n 
URL:https://cmsa.fas.harvard.edu/event/cmsaqa_91626/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:CMSA Q&A Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260928T080000
DTEND;TZID=America/New_York:20261002T170000
DTSTAMP:20260426T044134
CREATED:20251027T191925Z
LAST-MODIFIED:20251027T192243Z
UID:10003827-1790582400-1790960400@cmsa.fas.harvard.edu
SUMMARY:Workshop on Lagrangian Floer theory and applications
DESCRIPTION:Workshop on Lagrangian Floer theory and applications \nDates: September 28 – October 2\, 2026 \nLocation: CMSA G10\, 20 Garden St.\, Cambridge MA 02138 \nThis  workshop is part of the Lagrangian Floer theory and applications Program \n  \nOrganizers: Denis Auroux (Harvard)\, Jonny Evans (Lancaster)\, and Chris Woodward (Rutgers) \n  \ndetails tba
URL:https://cmsa.fas.harvard.edu/event/lftworkshop/
LOCATION:CMSA 20 Garden Street Cambridge\, Massachusetts 02138 United States
CATEGORIES:Workshop
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20261106T090000
DTEND;TZID=America/New_York:20261107T170000
DTSTAMP:20260426T044134
CREATED:20260423T160818Z
LAST-MODIFIED:20260423T182612Z
UID:10003936-1793955600-1794070800@cmsa.fas.harvard.edu
SUMMARY:Applications of Higher Categorical Methods workshop
DESCRIPTION:Applications of Higher Categorical Methods workshop \n\n\n\n\nThis workshop is intended to bring together researchers in all areas of mathematics and mathematical physics whose work involves the use of methods from categorical algebra\, abstract homotopy theory\, and higher category theory. Our goal is to showcase new\, exciting research and offer an avenue for researchers in New England to discuss their work and collaborate with people in this ever-growing community. \nOrganized by Dan Freed\, Harvard Math & CMSA; Owen Gwilliam\, UMass Amherst; and Lorenzo Riva\, Harvard CMSA
URL:https://cmsa.fas.harvard.edu/event/cm/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Workshop
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20270215T080000
DTEND;TZID=America/New_York:20270515T170000
DTSTAMP:20260426T044134
CREATED:20260130T203025Z
LAST-MODIFIED:20260324T174338Z
UID:10003888-1802678400-1810400400@cmsa.fas.harvard.edu
SUMMARY:Stable Homotopy Theory and Arithmetic Geometry
DESCRIPTION:Stable Homotopy Theory and Arithmetic Geometry \nDates: Feb 15–May 15\, 2027 \nLocation: Harvard CMSA\, 20 Garden St\, Cambridge MA \nThis program will focus on interactions between stable homotopy theory and arithmetic geometry. In recent years\, ideas from homotopy theory have begun to play an important role in areas such as p-adic cohomology\, prismatic methods\, and aspects of the Langlands program\, while techniques from arithmetic geometry have led to new insights and computations in chromatic homotopy theory. Despite this growing overlap\, researchers in the two areas often use different languages and tools. A central goal of the program is to make these ideas more accessible across fields and to encourage collaborations around shared problems. \nThe program will run from February 15 to May 15 and will be built around research and informal collaboration. It will begin with a short introductory bootcamp\, followed by two focused workshops (one near the start and one toward the end)\, a weekly seminar with broadly accessible talks\, and a weekly open-problem session. Most of the time will be left open for discussion and joint work among participants\, aiming to spark new projects and longer-term connections between the two communities. \nThe program will include: \n(1) a bootcamp during the week Feb. 22–26\, consisting of introductory lectures on both subjects;\n(2) two research workshops—one during Mar. 1–5 and one during May 3–7—highlighting current developments\, especially those at the interface of the two areas;\n(3) a weekly seminar featuring talks of broad relevance to participants; and\n(4) a weekly open-problem seminar aimed at proposing and developing collaborative research directions\, both for the duration of the program and beyond. \nRegister Online \n  \nOrganizers: Tomer Schlank (UChicago)\, Jared Weinstein (Boston University)\, Mark Kisin (Harvard)\, Jeremy Hahn (MIT)\, Lucas Mann (Münster)
URL:https://cmsa.fas.harvard.edu/event/htag/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Programs
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