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DTSTART;TZID=America/New_York:20190119T163000
DTEND;TZID=America/New_York:20190119T163000
DTSTAMP:20260519T015552
CREATED:20240212T100703Z
LAST-MODIFIED:20240514T183205Z
UID:10001956-1547915400-1547915400@cmsa.fas.harvard.edu
SUMMARY:Innovation in Cell Phones in the US and China: Who Improves Technology Faster?
DESCRIPTION:Speaker: Richard B. Freeman (Harvard University and NBER) \nTitle: Innovation in Cell Phones in the US and China: Who Improves Technology Faster? \nAbstract: Cell phones are the archetypical modern consumer innovation\, spreading around the world at an incredible pace\, extensively used for connecting people with the Internet and diverse apps. Consumers report spending from 2-5 hours a day at their cell phones\, with 44% of Americans saying “couldn’t go a day without their mobile devices.” Cell phone manufacturers introduce new models regularly\, embodying additional features while other firms produce new applications that increase demand for the phones. Using newly developed data on the prices\, attributes\, and sales of different models in the US and China\, this paper estimates the magnitude of technological change in the phones in the 2000s. It explores the problems of analyzing a product with many interactive attributes in the standard hedonic price regression model and uses Principal Components Regression to reduce dimensionality. The main finding is that technology improved the value of cell phones at comparable rates in the US and China\, despite different market structures and different evaluations of some attributes and brands. The study concludes with a discussion of ways to evaluate the economic surplus created by the cell phones and their contribution to economic well-being.
URL:https://cmsa.fas.harvard.edu/event/1-30-2019-colloquium/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Screen-Shot-2019-01-29-at-9.16.13-AM.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20190118T083000
DTEND;TZID=America/New_York:20190121T173000
DTSTAMP:20260519T015552
CREATED:20230715T090318Z
LAST-MODIFIED:20241212T192232Z
UID:10000105-1547800200-1548091800@cmsa.fas.harvard.edu
SUMMARY:Geometric Analysis Approach to AI Workshop
DESCRIPTION:Due to inclement weather on Sunday\, the second half of the workshop has been moved forward one day. Sunday and Monday’s talks will now take place on Monday and Tuesday.\nOn January 18-21\, 2019 the Center of Mathematical Sciences and Applications will be hosting a workshop on the Geometric Analysis Approach to AI. \nThis workshop will focus on the theoretic foundations of AI\, especially various methods in Deep Learning. The topics will cover the relationship between deep learning and optimal transportation theory\, DL and information geometry\, DL Learning and information bottle neck and renormalization theory\, DL and manifold embedding and so on. Furthermore\, the recent advancements\, novel methods\, and real world applications of Deep Learning will also be reported and discussed. \nThe workshop will take place from January 18th to January 23rd\, 2019. In the first four days\, from January 18th to January 21\, the speakers will give short courses; On the 22nd and 23rd\, the speakers will give conference representations. This workshop is organized by Xianfeng Gu and Shing-Tung Yau. \nThe workshop will be held in room G10 of the CMSA\, located at 20 Garden Street\, Cambridge\, MA.  \nSpeakers:  \n\nSarah Adel Bargal\, Boston University\nGuy Bresler\, MIT\nTina Eliassi-Rad\, Northeastern\nYun Raymond Fu\, Northeastern\nBrian Kulis\, Boston University\nNa Lei\, Dalian University of Technology\nYi Ma\, UC Berkeley\nMinh Hoai Nguyen\, Stony Brook\nFrancesco Orabona\, Boston University\nCengiz Pehlevan\, Harvard SEAS\nTomaso Poggio\, MIT\nZhiwei Qin\, DiDi Research America\nKate Saenko\, Boston University\nDimitris Samaras\, Stony Brook\nJohannes Schmidt-Hieber\, University of Twente\nSteven Skiena\, Stony Brook\nVivienne Sze\, MIT\nNaftali Tishby\, ICNC\nJiajun Wu\, MIT\nYing Nian Wu\, UCLA\nGangqiang Xia\, Morgan Stanley\nEric Xing\, Carnegie Mellon\nDonghui Yan\, UMass Dartmouth\nAlan Yuille\, Johns Hopkins\nJuhua Zhu\,  Argus
URL:https://cmsa.fas.harvard.edu/event/geometric-analysis-approach-to-ai-workshop/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Event,Workshop
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Geo-Analysis-Poster-final-e1547584167900.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20190116T204600
DTEND;TZID=America/New_York:20190116T204600
DTSTAMP:20260519T015552
CREATED:20240213T110531Z
LAST-MODIFIED:20240213T110531Z
UID:10002474-1547671560-1547671560@cmsa.fas.harvard.edu
SUMMARY:1/16/2019 Hodge Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/1-16-2019-hodge-seminar/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20190108T140000
DTEND;TZID=America/New_York:20190108T140000
DTSTAMP:20260519T015552
CREATED:20240213T110236Z
LAST-MODIFIED:20240213T110236Z
UID:10002471-1546956000-1546956000@cmsa.fas.harvard.edu
SUMMARY:1/8/2019 Topology Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/1-8-2019-topology-seminar/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181212T204300
DTEND;TZID=America/New_York:20181212T204300
DTSTAMP:20260519T015552
CREATED:20240213T110834Z
LAST-MODIFIED:20240213T110834Z
UID:10002476-1544647380-1544647380@cmsa.fas.harvard.edu
SUMMARY:12/12/2018 Hodge Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/12-12-2018-hodge-seminar/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181210T204300
DTEND;TZID=America/New_York:20181210T204300
DTSTAMP:20260519T015552
CREATED:20240213T111028Z
LAST-MODIFIED:20240213T111028Z
UID:10002479-1544474580-1544474580@cmsa.fas.harvard.edu
SUMMARY:12/10/2018 Topology Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/12-10-2018-topology-seminar/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181210T204200
DTEND;TZID=America/New_York:20181210T204200
DTSTAMP:20260519T015552
CREATED:20240213T111209Z
LAST-MODIFIED:20240213T111209Z
UID:10002480-1544474520-1544474520@cmsa.fas.harvard.edu
SUMMARY:12/10/2018 Mathematical Physics Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/12-10-2018-mathematical-physics-seminar/
LOCATION:MA
CATEGORIES:Mathematical Physics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181206T204500
DTEND;TZID=America/New_York:20181206T204500
DTSTAMP:20260519T015552
CREATED:20240213T110655Z
LAST-MODIFIED:20240213T110655Z
UID:10002475-1544129100-1544129100@cmsa.fas.harvard.edu
SUMMARY:12/6/2018 Special Mathematical Physics Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/12-6-2018-special-mathematical-physics-seminar/
LOCATION:MA
CATEGORIES:Mathematical Physics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181205T163000
DTEND;TZID=America/New_York:20181205T173000
DTSTAMP:20260519T015552
CREATED:20240213T072513Z
LAST-MODIFIED:20240514T183912Z
UID:10002179-1544027400-1544031000@cmsa.fas.harvard.edu
SUMMARY:Displacement convexity of Boltzmann's entropy characterizes positive energy in general relativity
DESCRIPTION:Speaker: Robert McCann (University of Toronto) \nTitle: Displacement convexity of Boltzmann’s entropy characterizes positive energy in general relativity \nAbstract: Einstein’s theory of gravity is based on assuming that the fluxes of a energy and momentum in a physical system are proportional to a certain variant of the Ricci curvature tensor on a smooth 3+1 dimensional spacetime. The fact that gravity is attractive rather than repulsive is encoded in the positivity properties which this tensor is assumed to satisfy.  Hawking and Penrose (1971) used this positivity of energy to give conditions under which smooth spacetimes must develop singularities. By lifting fractional powers of the Lorentz distance between points on a globally hyperbolic spacetime to probability measures on spacetime events\, we show that the strong energy condition of Hawking and Penrose is equivalent to convexity of the Boltzmann-Shannon entropy along the resulting geodesics of probability measures. This new characterization of the strong energy condition on globally hyperbolic manifolds also makes sense in (non-smooth) metric measure settings\, where it has the potential to provide a framework for developing a theory of gravity which admits certain singularities and can be continued beyond them. It provides a Lorentzian analog of Lott\, Villani and Sturm’s metric-measure theory of lower Ricci bounds\, and hints at new connections linking gravity to the second law of thermodynamics. Preprint available at http://www.math.toronto.edu/mccann/papers/GRO.pdf \n 
URL:https://cmsa.fas.harvard.edu/event/12-05-2018-colloquium/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Colloquium-120518.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181205T150000
DTEND;TZID=America/New_York:20181205T160000
DTSTAMP:20260519T015552
CREATED:20240213T111651Z
LAST-MODIFIED:20240213T112114Z
UID:10002486-1544022000-1544025600@cmsa.fas.harvard.edu
SUMMARY:12/5/2018 Random Matrix and Probability Theory Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/12-5-2018-random-matrix-and-probability-theory-seminar/
LOCATION:MA
CATEGORIES:Random Matrix & Probability Theory Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181205T133000
DTEND;TZID=America/New_York:20181205T133000
DTSTAMP:20260519T015552
CREATED:20240213T111357Z
LAST-MODIFIED:20240213T111357Z
UID:10002483-1544016600-1544016600@cmsa.fas.harvard.edu
SUMMARY:12/5/2018 Hodge Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/12-5-2018-hodge-seminar/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181205T110000
DTEND;TZID=America/New_York:20181205T110000
DTSTAMP:20260519T015552
CREATED:20240213T112031Z
LAST-MODIFIED:20240213T112031Z
UID:10002490-1544007600-1544007600@cmsa.fas.harvard.edu
SUMMARY:12/05/2018 General Relativity Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/12-05-2018-general-relativity-seminar/
LOCATION:MA
CATEGORIES:General Relativity Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181203T120000
DTEND;TZID=America/New_York:20181203T130000
DTSTAMP:20260519T015552
CREATED:20240213T111826Z
LAST-MODIFIED:20240213T111826Z
UID:10002488-1543838400-1543842000@cmsa.fas.harvard.edu
SUMMARY:12/3/2018 Mathematical Physics Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/12-3-2018-mathematical-physics-seminar/
LOCATION:MA
CATEGORIES:Mathematical Physics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181203T100000
DTEND;TZID=America/New_York:20181203T113000
DTSTAMP:20260519T015552
CREATED:20240213T112258Z
LAST-MODIFIED:20240213T112258Z
UID:10002494-1543831200-1543836600@cmsa.fas.harvard.edu
SUMMARY:13/3/2018 Topology Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/13-3-2018-topology-seminar/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181203T083000
DTEND;TZID=America/New_York:20181205T143000
DTSTAMP:20260519T015552
CREATED:20230715T090021Z
LAST-MODIFIED:20250305T212541Z
UID:10000103-1543825800-1544020200@cmsa.fas.harvard.edu
SUMMARY:Morphogenesis: Geometry and Physics
DESCRIPTION:Just over a century ago\, the biologist\, mathematician and philologist D’Arcy Thompson wrote “On growth and form”. The book – a literary masterpiece – is a visionary synthesis of the geometric biology of form. It also served as a call for mathematical and physical approaches to understanding the evolution and development of shape. In the century since its publication\, we have seen a revolution in biology following the discovery of the genetic code\, which has uncovered the molecular and cellular basis for life\, combined with the ability to probe the chemical\, structural\, and dynamical nature of molecules\, cells\, tissues and organs across scales. In parallel\, we have seen a blossoming of our understanding of spatiotemporal patterning in physical systems\, and a gradual unveiling of the complexity of physical form. So\, how far are we from realizing the century-old vision that “Cell and tissue\, shell and bone\, leaf and flower\, are so many portions of matter\, and it is in obedience to the laws of physics that their particles have been moved\, moulded and conformed ?” \nTo address this requires an appreciation of the enormous ‘morphospace’ in terms of the potential shapes and sizes that living forms take\, using the language of mathematics. In parallel\, we need to consider the biological processes that determine form in mathematical terms is based on understanding how instabilities and patterns in physical systems might be harnessed by evolution. \nIn Fall 2018\, CMSA will focus on a program that aims at recent mathematical advances in describing shape using geometry and statistics in a biological context\, while also considering a range of physical theories that can predict biological shape at scales ranging from macromolecular assemblies to whole organ systems.\nThe first workshop will focus on the interface between Morphometrics and Mathematics\, while the second will focus on the interface between Morphogenesis and Physics.The workshop is organized by L. Mahadevan (Harvard)\, O. Pourquie (Harvard)\, A. Srivastava (Florida). \nAs part of the program on Mathematical Biology a workshop on Morphogenesis: Geometry and Physics will take place on December 3-5\, 2018.  The workshop will be held in room G10 of the CMSA\, located at 20 Garden Street\, Cambridge\, MA. \nVideos\nSpeakers:\n\nArkhat Abzhanov\, Imperial College\nYohanns Bellaiche\, Paris\nCheng Ming Chuong\, USC\nZev Gartner\, UCSF\nThomas Gregor\, Princeton\nDagmar Iber\, Zurich\nIan Jermyn\, Durham University\nRaymond Keller\, UVA\nAllon Klein\, HMS\nLisa Manning\, Syracuse\nCristina Marchetti\, UCSB\nSean Megason\, HMS\nElliot Meyerowitz\, Caltech\nMichel Milinkovitch\, Geneva\nLeonardo Morsut\, USC\nOlivier Pourquié\, HMS\nEric Siggia\, Rockefeller University\nBen Simons\, Cambridge\nSebastian Streichan\, UCSB\nAryeh Warmflash\, Rice
URL:https://cmsa.fas.harvard.edu/event/morphogenesis-geometry-and-physics/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Event,Programs
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181128T163000
DTEND;TZID=America/New_York:20181128T173000
DTSTAMP:20260519T015552
CREATED:20240213T072819Z
LAST-MODIFIED:20240514T184301Z
UID:10002180-1543422600-1543426200@cmsa.fas.harvard.edu
SUMMARY:Recent progress on mean curvature flow
DESCRIPTION:Speaker: Robert Haslhofer (University of Toronto) \nTitle: Recent progress on mean curvature flow \nAbstract: A family of surfaces moves by mean curvature flow if the velocity at each point is given by the mean curvature vector. Mean curvature flow is the most natural evolution in extrinsic geometry and shares many features with Hamilton’s Ricci flow from intrinsic geometry. In the first half of the talk\, I will give an overview of the well developed theory in the mean convex case\, i.e. when the mean curvature vector everywhere on the surface points inwards. Mean convex mean curvature flow can be continued through all singularities either via surgery or as level set solution\, with a precise structure theory for the singular set. In the second half of the talk\, I will report on recent progress in the general case without any curvature assumptions. Namely\, I will describe our solution of the mean convex neighborhood conjecture and the nonfattening conjecture\, as well as a general classification result for all possible blowup limits near spherical or cylindrical singularities. In particular\, assuming Ilmanen’s multiplicity one conjecture\, we conclude that for embedded two-spheres the mean curvature flow through singularities is well-posed. This is joint work with Kyeongsu Choi and Or Hershkovits.
URL:https://cmsa.fas.harvard.edu/event/11-28-2018-colloquium/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Colloquium-112818-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181128T150000
DTEND;TZID=America/New_York:20181128T150000
DTSTAMP:20260519T015552
CREATED:20240213T101152Z
LAST-MODIFIED:20240213T101152Z
UID:10002399-1543417200-1543417200@cmsa.fas.harvard.edu
SUMMARY:11/28/2018 Random Matrix and Probability Theory Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/11-28-2018-random-matrix-and-probability-theory-seminar/
LOCATION:MA
CATEGORIES:Random Matrix & Probability Theory Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181128T133000
DTEND;TZID=America/New_York:20181128T133000
DTSTAMP:20260519T015552
CREATED:20240213T100650Z
LAST-MODIFIED:20240213T100650Z
UID:10002392-1543411800-1543411800@cmsa.fas.harvard.edu
SUMMARY:11/28/2018 Hodge Lecture
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/11-28-2018-hodge-lecture/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181126T120000
DTEND;TZID=America/New_York:20181126T130000
DTSTAMP:20260519T015552
CREATED:20240213T100133Z
LAST-MODIFIED:20240305T104834Z
UID:10002380-1543233600-1543237200@cmsa.fas.harvard.edu
SUMMARY:11/26/2018 Mathematical Physics Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/11-26-2018-mathematical-physics-seminar/
LOCATION:MA
CATEGORIES:Mathematical Physics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181121T133000
DTEND;TZID=America/New_York:20181121T133000
DTSTAMP:20260519T015552
CREATED:20240213T101558Z
LAST-MODIFIED:20240213T101558Z
UID:10002408-1542807000-1542807000@cmsa.fas.harvard.edu
SUMMARY:11/21/2018 Hodge Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/11-21-2018-hodge-seminar/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181119T150000
DTEND;TZID=America/New_York:20181119T160000
DTSTAMP:20260519T015552
CREATED:20240213T071141Z
LAST-MODIFIED:20240514T184752Z
UID:10002165-1542639600-1542643200@cmsa.fas.harvard.edu
SUMMARY:Computational Principles of Auditory Cortex
DESCRIPTION:Speaker: Xiaoqin Wang (Johns Hopkins University) \nTitle: Computational Principles of Auditory Cortex \nAbstract: Auditory cortex is located at the top of a hierarchical processing pathway in the brain that encodes acoustic information. This brain region is crucial for speech and music perception and vocal production. Auditory cortex has long been considered a difficult brain region to study and remained one of less understood sensory cortices. Studies have shown that neural computation in auditory cortex is highly nonlinear. In contrast to other sensory systems\, the auditory system has a longer pathway between sensory receptors and the cerebral cortex. This unique organization reflects the needs of the auditory system to process time-varying and spectrally overlapping acoustic signals entering the ears from all spatial directions at any given time. Unlike visual or somatosensory cortices\, auditory cortex must also process and differentiate sounds that are externally generated or self-produced (during speaking). Neural representations of acoustic information in auditory cortex are shaped by auditory feedback and vocal control signals during speaking. Our laboratory has developed a unique and highly vocal non-human primate model (the common marmoset) and quantitative tools to study neural mechanisms underlying audition and vocal communication.
URL:https://cmsa.fas.harvard.edu/event/11-19-2018-colloquium/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Colloquium-111918.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181119T120000
DTEND;TZID=America/New_York:20181119T130000
DTSTAMP:20260519T015552
CREATED:20240213T101432Z
LAST-MODIFIED:20240213T101432Z
UID:10002405-1542628800-1542632400@cmsa.fas.harvard.edu
SUMMARY:11/19/2018 Mathematical Physics Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/11-19-2018-mathematical-physics-seminar/
LOCATION:MA
CATEGORIES:Mathematical Physics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181116T080000
DTEND;TZID=America/New_York:20181117T170000
DTSTAMP:20260519T015552
CREATED:20230715T085736Z
LAST-MODIFIED:20241212T191652Z
UID:10000102-1542355200-1542474000@cmsa.fas.harvard.edu
SUMMARY:Current Developments In Mathematics 2018
DESCRIPTION:Current Developments in Mathematics 2018 Conference. \nFriday\, Nov. 16\, 2018 2:15 pm – 6:00 pm \nSaturday\, Nov. 17\, 2018  9:00 am – 5:00 pm \nHarvard University Science Center\, Hall B \nYoutube Playlist
URL:https://cmsa.fas.harvard.edu/event/current-developments-in-mathematics-2018/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Conference,Event
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/cdm-2018-poster.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181114T160000
DTEND;TZID=America/New_York:20181114T170000
DTSTAMP:20260519T015552
CREATED:20240213T071016Z
LAST-MODIFIED:20240514T184520Z
UID:10002163-1542211200-1542214800@cmsa.fas.harvard.edu
SUMMARY:The virtual fundamental class in symplectic geometry
DESCRIPTION:Speaker: Dusa McDuff (Columbia University)  \nTitle: The virtual fundamental class in symplectic geometry \nAbstract: Essential to many constructions and applications of symplectic geometry is the ability to count J-holomorphic curves. The moduli spaces of such curves have well understood compactifications\, and if cut out transversally are oriented manifolds of dimension equal to the index of the problem\, so that they a fundamental class that can be used to count curves. In the general case\, when the defining equation is not transverse\, there are various different approaches to constructing a representative for this class\, We will discuss and compare different approaches to such a construction e.g. using polyfolds or various kinds of finite dimensional reduction. Most of this is joint work with Katrin Wehrheim. \n 
URL:https://cmsa.fas.harvard.edu/event/11-14-2018-colloquium/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Colloquium-111418.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181114T150000
DTEND;TZID=America/New_York:20181114T160000
DTSTAMP:20260519T015552
CREATED:20240213T101834Z
LAST-MODIFIED:20240213T101834Z
UID:10002411-1542207600-1542211200@cmsa.fas.harvard.edu
SUMMARY:11/14/2018 RM & PT Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/11-14-2018-rm-pt-seminar/
LOCATION:MA
CATEGORIES:Random Matrix & Probability Theory Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181114T133000
DTEND;TZID=America/New_York:20181114T133000
DTSTAMP:20260519T015552
CREATED:20240213T102050Z
LAST-MODIFIED:20240213T102050Z
UID:10002415-1542202200-1542202200@cmsa.fas.harvard.edu
SUMMARY:11/14/2018 Hodge Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/11-14-2018-hodge-seminar/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181114T110000
DTEND;TZID=America/New_York:20181114T110000
DTSTAMP:20260519T015552
CREATED:20240213T102426Z
LAST-MODIFIED:20240213T102426Z
UID:10002420-1542193200-1542193200@cmsa.fas.harvard.edu
SUMMARY:11/14/2018 General Relativity Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/11-14-2018-general-relativity-seminar/
LOCATION:MA
CATEGORIES:General Relativity Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181107T150600
DTEND;TZID=America/New_York:20181107T150600
DTSTAMP:20260519T015552
CREATED:20240213T101931Z
LAST-MODIFIED:20240213T101931Z
UID:10002413-1541603160-1541603160@cmsa.fas.harvard.edu
SUMMARY:Hodge and Noether-Lefschetz Loci Seminar
DESCRIPTION:In the Fall 2018 Semester the CMSA will be hosting a seminar on Hodge and Noether-Lefschetz loci\, with lectures given by Hossein Movasati (IMPA). The seminar will occur weekly on Wednesday at 1:30 in room G10 of the CMSA. \n \nThe schedule below will be updated as talks are confirmed. \n\n\n\nDate\nTitle/Abstract\n\n\n11/7/2018 \nVideo\nTitle: Hodge and Noether-Lefschetz loci \nAbstract: Hodge cycles are topological cycles which are conjecturally (the millennium Hodge conjecture) supported in algebraic cycles of a given smooth projective complex manifold. Their study in families leads to the notion of Hodge locus\, which is also known as Noether-Lefschetz locus in the case of surfaces. The main aim of this mini course is to introduce a computational approach to the study of Hodge loci for hypersurfaces and near the Fermat hypersurface. This will ultimately lead to the verification of the variational Hodge conjecture for explicit examples of algebraic cycles inside hypersurfaces and also the verification of integral Hodge conjecture for examples of Fermat hypersurfaces. Both applications highly depend on computer calculations of rank of huge matrices. We also aim to review some classical results on this topic\, such as Cattani-Deligne-Kaplan theorem on the algebraicity of the components of the hodge loci\, Deligne’s absolute Hodge cycle theorem for abelian varieties etc. \nIn the theoretical side another aim is to use the available tools in algebraic geometry and construct the moduli space of projective varieties enhanced with elements in their algebraic de Rham cohomology ring. These kind of moduli spaces have been useful in mathematical physics in order to describe the generating function of higher genus Gromov-Witten invariants\, and it turns out that the Hodge loci in such moduli spaces are well-behaved\, for instance\, they are algebraic leaves of certain holomorphic foliations. Such foliations are constructed from the underlying Gauss-Manin connection. This lectures series involves many reading activities on related topics\, and contributions by participants are most welcome.\n\n\n11/14/2018 \nVideo\nTitle:  Integral Hodge conjecture for Fermat varieties \nAbstract: We describe an algorithm which verifies whether  linear algebraic cycles of the Fermat variety generate the lattice of Hodge cycles. A computer implementation of this  confirms the integral Hodge conjecture for quartic and quintic Fermat fourfolds. Our algorithm is based on computation of the list of elementary divisors of both the lattice of linear algebraic cycles\, and the lattice of Hodge cycles written in terms of  vanishing cycles\, and observing that these two lists are the same. This is a joint work with E. Aljovin and R. Villaflor.\n\n\n11/21/2018 \nVideo\nTitle:  Periods of algebraic cycles \nAbstract: The tangent space of the Hodge locus at a point can be described by the so called infinitesimal variation of Hodge structures and the cohomology class of Hodge cycles. For hypersurfaces of dimension $n$ and degree $d$ it turns out that one can describe it without any knowledge of cohomology theories and in a fashion which E. Picard in 1900’s wanted to study integrals/periods. The data of cohomology class is replaced with periods of Hodge cycles\, and explicit computations of these periods\, will give us a computer implementable description of the tangent space.  As an application of this we show that for examples of $n$ and $d$\, the locus of hypersurfaces containing two linear cycles whose intersection is of low dimension\, is a reduced component of the Hodge locus in the underlying parameter space.\n\n\n11/28/2018 \nVideo\nTitle: Periods of Complete Intersection Algebraic Cycles \nSpeaker: Roberto Villaflor \nAbstract: In order to compute periods of algebraic cycles inside even dimensional smooth degree d hypersurfaces of the projective space\, we restrict ourselves to cycles supported in a complete intersection subvariety. When the description of the complete intersection is explicit\, we can compute its periods\, and furthermore its cohomological class. As an application\, we can use this data to describe the Zariski tangent space of the corresponding Hodge locus\, as the degree d part of some Artinian Gorenstein ideal of the homogeneous coordinate ring of the projective space. Using this description\, we can show that for d>5\, the locus of hypersurfaces containing two linear cycles\, is a reduced component of the Hodge locus in the underlying parameter space.\n\n\n12/05/2018 \nRoom G02\nTitle: Some explicit Hodge cycles \nAbstract: Explicit examples of Hodge cycles are due to D. Mumford and A. Weil in the case of CM abelian varieties. In this talk\, I will describe few other examples for the Fermat variety. Effective verification of the Hodge conjecture for these cycles is not known.\n\n\n12/12/2018 \nVideo\nTitle: A conjectural Hodge locus for cubic tenfold \nAbstract: In this talk we will consider the difference  of two linear algebraic cycles of dimension 5 inside a smooth cubic tenfold and such that the dimension of their intersection is 3. We will show some computer assisted evidences to the fact that the corresponding Hodge locus is bigger than the expected locus of algebraic deformations of the cubic tenfold together with its linear cycles. A similar discussion will be also presented for cubic six and eightfold\,  for which we will prove that the corresponding second and third order infinitesimal Hodge loci are smooth. The main ingredient is a computer implementation of power series of periods of hypersurfaces.\n\n\n1/16/2019\nTitle: Algebraic BCOV anomaly equation \nAbstract: We introduce the moduli space T of  non-rigid compact Calabi-Yau threefolds enhanced with differential forms and a Lie algebra of vector fields in T. This will be used in order to give a purely algebraic interpretation of topological string partition functions and the Bershadsky-Cecotti-Ooguri-Vafa holomorphic anomaly equation (joint work with M. Alim\, E. Scheidegger\, S.-T. Yau).  We will also define similar moduli spaces for even dimensional Calabi-Yau varieties\, where we have the notion of Hodge locus.\n\n\n1/23/2019 \nVideo\nTitle: A new model for modular curves \nAbstract: One of the non-trivial examples of a Hodge locus is the modular curve X_0(N)\, which is due to isogeny of elliptic curves (a Hodge/algebraic cycle in the product of two elliptic curves). After introducing the notion of enhanced moduli of elliptic curves\, I will describe a new model for X_0(N) in the weighted projective space of dimension 4 and with weights (2\,3\,2\,3\,1). I will also introduce some elements in the defining ideal of such a model. \nThe talk is based on the article arXiv:1808.01689.\n\n\n1/30/2019 \nVideo\nTitle: Constant Yukawa couplings \nAbstract: In this talk I will first introduce algebraic Yukawa couplings for any moduli of enhanced Calabi-Yau n-folds. Then I will list many examples in support of the following conjecture. A moduli of Calabi-Yau n-folds is a quotient of a Hermitian symmetric domain (constructed from periods) by an arithmetic group if and only if the corresponding Yukawa couplings are constants.\n\n\n2/6/2019 \nVideo\nTitle: Integrality properties of CY modular forms \nAbstract: The integrality of the coefficients of the mirror map is a central problem in the arithmetic of Calabi-Yau varieties and it has been investigated  by Lian-Yau (1996\, 1998)\, Hosono-Lian-Yau (1996)\, Zudilin (2002)\, Kontsevich-Schwarz-Vologodsky (2006) Krattenthaler-Rivoal (2010). The central tool in most of these works has been the so called Dwork method.  In this talk we use this method and classify all hypergeometric differential equations with a maximal unipotent monodromy whose mirror map has integral coefficients. \nWe also  give a computable condition on the parameters of a hypergeometric function which conjecturally computes all the primes which appear in the denominators of the coefficients of the mirror map. This is a joint work with Kh. Shokri.\n\n\n2/13/2019\nTitle: Foliations and Hodge loci \nAbstract: In this talk I will introduce a holomorphic foliation in a larger parameter space attached to families of enhanced projective varieties. Irreducible components of the Hodge locus with constant periods are algebraic leaves of such a foliation. Under the hypothesis that these are all the algebraic leaves\,  we get the fact that such algebraic leaves are defined over the algebraic closure of the base field and that Hodge classes are weak absolute in the sense of C. Voisin.\n\n\n\n  \nReferences: \n\n\n\n\n\nM. Alim\, H. Movasati\, E. Scheidegger\, S.-T. Yau. Gauss-Manin connection in disguise: Calabi-Yau threefolds\, Comm. Math. Phys. 344\, (2016)\, no. 3\, 889-914.\nE. H. Cattani\, P. Deligne\, and A. G. Kaplan. On the locus of Hodge classes. Amer. Math. Soc.\, 8(2):483–506\, 1995.\nB. Haghighat H. Movasati\, S.-T. Yau. Calabi-Yau modular forms in limit: Elliptic fibrations\, Communications in Number Theory and Physics\, Vol. 11\, Number 4\, 879-912\, 2017.\nH. Movasati\, Modular and automorphic forms & beyond\, Book under preparation\, 2019.  \nH. Movasati. A Course in Hodge Theory: with Emphasis on Multiple Integrals.Book submitted\,2018.\nH. Movasati\, On elliptic modular foliation\, II\, 2018\nH. Movasati\, R. Villaflor Loyola\, Periods of linear algebraic cycles\,\, 2018. \nH. Movasati\, Gauss-Manin connection in disguise: Calabi-Yau modular forms\, Surveys in Modern Mathematics\, Vol 13\, International Press\, Boston.\nH. Movasati\, Gauss-Manin connection in disguise: Noether-Lefschetz and Hodge loci\, Asian Journal of Mathematics\, Vol.21\, No. 3\, pp. 463-482\, 2017. \nC. Voisin. Hodge loci and absolute Hodge classes. Compos. Math.\, 143(4):945–958\, 2007.\nC. Voisin. Hodge loci. Handbook of moduli. Vol. III\, volume 26 of Adv. Lect. Math. (ALM)}\, pages 507–546. Int. Press\, Somerville\, MA\, 2013.
URL:https://cmsa.fas.harvard.edu/event/hodge-and-noether-lefschetz-loci-seminar/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181107T150000
DTEND;TZID=America/New_York:20181107T160000
DTSTAMP:20260519T015552
CREATED:20240213T103122Z
LAST-MODIFIED:20240213T103122Z
UID:10002435-1541602800-1541606400@cmsa.fas.harvard.edu
SUMMARY:11/7/2018 Random Matrix and Probability Theory Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/11-7-2018-random-matrix-and-probability-theory-seminar/
LOCATION:MA
CATEGORIES:Random Matrix & Probability Theory Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181107T110000
DTEND;TZID=America/New_York:20181107T110000
DTSTAMP:20260519T015552
CREATED:20240213T102853Z
LAST-MODIFIED:20240213T102853Z
UID:10002430-1541588400-1541588400@cmsa.fas.harvard.edu
SUMMARY:11/7/2018 General Relativity Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/11-7-2018-general-relativity-seminar/
LOCATION:MA
CATEGORIES:General Relativity Seminar
END:VEVENT
END:VCALENDAR