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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200910T142300
DTEND;TZID=America/New_York:20200910T142400
DTSTAMP:20260713T170514
CREATED:20230707T110803Z
LAST-MODIFIED:20250328T195904Z
UID:10000138-1599747780-1599747840@cmsa.fas.harvard.edu
SUMMARY:Existence of Canonical Metrics on Non-Kähler Geometry
DESCRIPTION:On Wednesday September 9\, CMSA director Prof. Shing-Tung Yau gave a lecture for the Simons foundation on Existence of Canonical Metrics on Non-Kähler Geometry. \nIn this lecture\, Prof. Yau surveys the existence of canonical balanced metrics on non-Kähler complex manifolds through the Hull-Strominger system\, which was motivated by string theory on compactifications. He discusses works by Jun Li of Fudan University in Shanghai\, Ji-Xiang Fu of Fudan University\, Ivan Smith of the University of Cambridge\, Richard P. Thomas of Imperial College London\, Tristan C. Collins of the Massachusetts Institute of Technology\, French mathematician Émile Picard\, Teng Fei of Rutgers University in Newark\, New Jersey\, Adam Jacob of the University of California\, Davis\, and Duong H. Phong of Columbia University. \nMore information about this talk can be found on the Simons Foundation website.
URL:https://cmsa.fas.harvard.edu/event/existence-of-canonical-metrics-on-non-kahler-geometry/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Event,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Yaus-talk-on-HS-systemfinal-version-pdf.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200925T090000
DTEND;TZID=America/New_York:20200925T103000
DTSTAMP:20260713T170514
CREATED:20230707T110951Z
LAST-MODIFIED:20250328T201132Z
UID:10000140-1601024400-1601029800@cmsa.fas.harvard.edu
SUMMARY:CMSA Math-Science Literature Lecture: Area-minimizing integral currents and their regularity
DESCRIPTION:Camillo De Lellis (IAS) \nTitle: Area-minimizing integral currents and their regularity \nAbstract: Caccioppoli sets and integral currents (their generalization in higher codimension) were introduced in the late fifties and early sixties to give a general geometric approach to the existence of area-minimizing oriented surfaces spanning a given contour. These concepts started a whole new subject which has had tremendous impacts in several areas of mathematics: superficially through direct applications of the main theorems\, but more deeply because of the techniques which have been invented to deal with related analytical and geometrical challenges. In this lecture I will review the basic concepts\, the related existence theory of solutions of the Plateau problem\, and what is known about their regularity. I will also touch upon several fundamental open problems which still defy our understanding.  \nTalk Chair: William Minicozzi \nVideo
URL:https://cmsa.fas.harvard.edu/event/cmsa-math-science-literature-lecture_delellis/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Lecture_DeLellis-pdf.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200928T090000
DTEND;TZID=America/New_York:20200928T121300
DTSTAMP:20260713T170514
CREATED:20230707T111622Z
LAST-MODIFIED:20250409T192348Z
UID:10001223-1601283600-1601295180@cmsa.fas.harvard.edu
SUMMARY:CMSA Math-Science Literature Lecture: From Deep Learning to Deep Understanding
DESCRIPTION:Harry Shum (Tsinghua University) \nTitle: From Deep Learning to Deep Understanding \nAbstract: In this talk I will discuss a couple of research directions for robust AI beyond deep neural networks. The first is the need to understand what we are learning\, by shifting the focus from targeting effects to understanding causes. The second is the need for a hybrid neural/symbolic approach that leverages both commonsense knowledge and massive amount of data. Specifically\, as an example\, I will present some latest work at Microsoft Research on building a pre-trained grounded text generator for task-oriented dialog. It is a hybrid architecture that employs a large-scale Transformer-based deep learning model\,  and symbol manipulation modules such as business databases\, knowledge graphs and commonsense rules. Unlike GPT or similar language models learnt from data\, it is a multi-turn decision making system which takes user input\, updates the belief state\, retrieved from the database via symbolic reasoning\, and decides how to complete the task with grounded response. \nTalk chair: Shing-Tung Yau \nVideo
URL:https://cmsa.fas.harvard.edu/event/cmsa-math-science-literature-lecture_shum/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Lecture_Shum-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200928T123000
DTEND;TZID=America/New_York:20200928T140000
DTSTAMP:20260713T170514
CREATED:20230707T111141Z
LAST-MODIFIED:20250328T201235Z
UID:10000141-1601296200-1601301600@cmsa.fas.harvard.edu
SUMMARY:CMSA Math-Science Literature Lecture: A personal story of the 4D Poincare conjecture
DESCRIPTION:Michael Freedman (Microsoft – Station Q) \nTitle: A personal story of the 4D Poincare conjecture \nAbstract:  The proof of PC4 involved the convergence of several historical streams.  To get started: high dimensional manifold topology (Smale)\, a new idea on how to study 4-manifolds (Casson)\, wild “Texas” topology (Bing). Once inside the proof: there are three submodules: Casson towers come to life (in the sense of reproduction)\, a very intricate explicit shrinking argument (provided by Edwards)\, and the “blind fold” shrinking argument (which in retrospect is in the linage of Brown’s proof of the Schoenflies theorem). Beyond those mentioned: Kirby\, Cannon\, Ancel\, Quinn\, and Starbird helped me understand my proof. I will discuss the main points and how they fit together. \nTalk Chair: Peter Kronheimer \nVideo
URL:https://cmsa.fas.harvard.edu/event/cmsa-math-science-literature-lecture_freedman/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Lecture_Freedman-1-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200930T120000
DTEND;TZID=America/New_York:20200930T133000
DTSTAMP:20260713T170514
CREATED:20230707T111821Z
LAST-MODIFIED:20250328T200713Z
UID:10000142-1601467200-1601472600@cmsa.fas.harvard.edu
SUMMARY:CMSA Math-Science Literature Lecture: Immersions of manifolds and homotopy theory
DESCRIPTION:Ralph Cohen (Stanford University) \nTitle: Immersions of manifolds and homotopy theory \nAbstract: The interface between the study of the topology of differentiable manifolds and algebraic topology has been one of the richest areas of work in topology since the 1950’s. In this talk I will focus on one aspect of that interface: the problem of studying embeddings and immersions of manifolds using homotopy theoretic techniques. I will discuss the history of this problem\, going back to the pioneering work of Whitney\, Thom\, Pontrjagin\, Wu\, Smale\, Hirsch\, and others. I will discuss the historical applications of this homotopy theoretic perspective\, going back to Smale’s eversion of the 2-sphere in 3-space. I will then focus on the problems of finding the smallest dimension Euclidean space into which every n-manifold embeds or immerses. The embedding question is still very much unsolved\, and the immersion question was solved in the 1980’s. I will discuss the homotopy theoretic techniques involved in the solution of this problem\, and contributions in the 60’s\, 70’s and 80’s of Massey\, Brown\, Peterson\, and myself. I will also discuss questions regarding the best embedding and immersion dimensions of specific manifolds\, such has projective spaces. Finally\, I will end by discussing more modern approaches to studying spaces of embeddings due to Goodwillie\, Weiss\, and others. This talk will be geared toward a general mathematical audience. \nTalk chair: Michael Hopkins \nVideo
URL:https://cmsa.fas.harvard.edu/event/cmsa-math-science-literature-lecture_cohen/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Lecture_Cohen-pdf.jpg
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