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DTSTART;TZID=America/New_York:20190205T150000
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DTSTAMP:20260507T162829
CREATED:20230801T180632Z
LAST-MODIFIED:20231227T082001Z
UID:10000106-1549378800-1560097800@cmsa.fas.harvard.edu
SUMMARY:Special Lecture Series on Derived Algebraic/Differential Geometry
DESCRIPTION:In the Spring 2019 Semester\, the CMSA will be hosting a special lecture series on Derived algebraic/differential geometry run by Artan Sheshmani\, with lectures given by Prof. Sheshmani and Dr. Dennis Borisov. The seminar will be held on Tuesdays and Thursdays from 3:00-4:30pm in CMSA\, room G10. \n \n\nClick here for reference material \nClick here for a syllabus \nSchedule:\nSection 1: Basic setting of derived geometry \nThe goal: To collect the minimum set of tools needed to do algebraic geometry in the derived context. \n\n\n\n2/05/2019\nLecture 1: Model and с-categories\nVideo\n\n\n2/07/2019\nLecture 2: Grothendieck topologies and homotopy descent\nVideo\n\n\n2/12/2019\nLecture 3: Derived Artin stacks\nVideo \n\n\n2/14/2019\nLecture 4: Cotangent complexes\n\n\n\n\nSection 2: Loop spaces and differential forms \nThe goal: This is the algebraic heart of the course – here we learn the homological techniques that are needed for shifted symplectic forms. \n\n\n\n2/19/2019\nLecture 5: De Rham complexes and S1-equivariant schemes (loop spaces)\nVideo\n\n\n2/21/2019\nLecture 6: Chern character\nVideo\n\n\n2/26/2019 \nRoom G02\nLecture 7: Local structure of closed differential forms in the derived sense Part I\nVideo\n\n\n2/28/2019\nLecture 8: Local structure of closed differential forms in the derived sense Part II\nVideo\n\n\n3/05/2019\nLecture 9: Cyclic homology\nVideo\n\n\n\nSection 3: Shifted symplectic structures\nGoal: To see applications of the algebraic techniques from above in the geometric context of the actual moduli spaces. \n\n\n\n3/07/2019\nLecture 10: Definition and existence results\nVideo\n\n\n3/12/2019\nLecture 11: Lagrangians and Lagrangian fibrations\nVideo\n\n\n3/14/2019 \nRoom G02\nLecture 12: Lagrangians and Lagrangian fibrations\nVideo\n\n\n3/26/2019\nLecture 13: Intersections of Lagrangians\nVideo\n\n\n3/28/2019 \nRoom G02\nLecture 14: Examples and applications 2 (Part I)\nVideo\n\n\n4/02/2019\nLecture 15: Examples and applications 2 (Part II)\nVideo\n\n\n\nSection 4: Uhlenbeck–Yau construction and correspondence\n \n\n\n\n4/04/2019\nLecture 16: Examples and applications 2 (Part III)\nVideo\n\n\n4/09/2019 \nRoom G02\nLecture 17: Uhlenbeck–Yau construction and correspondence Examples (Part I)\nVideo\n\n\n\n\n\n\nColloquia & Seminars\,Events\,Seminars
URL:https://cmsa.fas.harvard.edu/event/special-lecture-series-on-derived-algebraic-differential-geometry/
CATEGORIES:Special Seminar
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181203T083000
DTEND;TZID=America/New_York:20181205T143000
DTSTAMP:20260507T162829
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
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181022T083000
DTEND;TZID=America/New_York:20181024T140000
DTSTAMP:20260507T162829
CREATED:20230715T084844Z
LAST-MODIFIED:20250305T212456Z
UID:10000099-1540197000-1540389600@cmsa.fas.harvard.edu
SUMMARY:Workshop on Morphometrics\, Morphogenesis and Mathematics
DESCRIPTION:In Fall 2018\, the CMSA will host a Program on Mathematical Biology\, which aims to describe recent mathematical advances in 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 plethora of natural shapes that surround us at every scale is both bewildering and astounding – from the electron micrograph of a polyhedral virus\, to the branching pattern of a gnarled tree to the convolutions in the brain. Even at the human scale\, the   shapes seen in a garden at the scale of a pollen grain\, a seed\, a sapling\, a root\, a flower or leaf are so numerous that “it is enough to drive the sanest man mad\,” wrote Darwin. Can we classify these shapes and understand their origins quantitatively? \nIn biology\, there is growing interest in and ability to quantify growth and form in the context of the size and shape of bacteria and other protists\, to understand how polymeric assemblies grow and shrink (in the cytoskeleton)\, and how cells divide\, change size and shape\, and move to organize tissues\, change their topology and geometry\, and link multiple scales and connect biochemical to mechanical aspects of these problems\, all in a self-regulated setting. \nTo understand these questions\, we need to describe shape (biomathematics)\, predict shape (biophysics)\, and design shape (bioengineering). \nFor example\, in mathematics there are some beautiful links to Nash’s embedding theorem\,  connections to quasi-conformal geometry\, Ricci flows and geometric PDE\, to Gromov’s h principle\, to geometrical singularities and singular geometries\, discrete and computational differential geometry\, to stochastic geometry and shape characterization (a la Grenander\, Mumford etc.). A nice question here is to use the large datasets (in 4D) and analyze them using ideas from statistical geometry (a la Taylor\, Adler) to look for similarities and differences across species during development\, and across evolution. \nIn physics\, there are questions of generalizing classical theories to include activity\, break the usual Galilean invariance\, as well as isotropy\, frame indifference\, homogeneity\, and create both agent (cell)-based and continuum theories for ordered\, active machines\, linking statistical to continuum mechanics\, and understanding the instabilities and patterns that arise. Active generalizations of liquid crystals\, polar materials\, polymers etc. are only just beginning to be explored and there are some nice physical analogs of biological growth/form that are yet to be studied. \nThe CMSA will be hosting a Workshop on Morphometrics\, Morphogenesis and Mathematics from October 22-24\, 2018 at the Center of Mathematical Sciences and Applications\, located at 20 Garden Street\, Cambridge\, MA. \nThe workshop is organized by L. Mahadevan (Harvard)\, O. Pourquie (Harvard)\, A. Srivastava (Florida). \nVideos of the talks\nConfirmed Speakers:\n\nArkhat Abzhanov\, Imperial College\nSiobhan Braybrook\, UCLA\nCassandra Extavour\, Harvard\nAnjali Goswami\, University College London\nDavid Gu\, Stony Brook\nJukka Jernvall\, Helsinki\nEric Klassen\, Florida State\nSayan Mukherjee\, Duke\nPeter Olver\, U Minnesota\nNipam Patel\, Berkeley\nStephanie Pierce\, Harvard\nKaren Sears\, UCLA\nAlain Trouve\, ENS-Cachan\, France\nLaurent Younes\, Johns Hopkins
URL:https://cmsa.fas.harvard.edu/event/workshop-on-morphometrics-morphogenesis-and-mathematics/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Event,Programs,Workshop
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