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X-ORIGINAL-URL:https://cmsa.fas.harvard.edu
X-WR-CALDESC:Events for CMSA
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200930T120000
DTEND;TZID=America/New_York:20200930T133000
DTSTAMP:20260511T110930
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
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200928T123000
DTEND;TZID=America/New_York:20200928T140000
DTSTAMP:20260511T110930
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:20200928T090000
DTEND;TZID=America/New_York:20200928T121300
DTSTAMP:20260511T110930
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:20200925T090000
DTEND;TZID=America/New_York:20200925T103000
DTSTAMP:20260511T110930
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:20200923T090000
DTEND;TZID=America/New_York:20200930T090600
DTSTAMP:20260511T110930
CREATED:20230908T084412Z
LAST-MODIFIED:20250305T173846Z
UID:10000139-1600851600-1601456760@cmsa.fas.harvard.edu
SUMMARY:CMSA Math-Science Literature Lecture: Hodge structures and the topology of algebraic varieties
DESCRIPTION:Claire Voisin (Collège de France) \nTitle: Hodge structures and the topology of algebraic varieties \nAbstract: We review the major progress made since the 50’s in our understanding of the topology of complex algebraic varieties. Most of the results  we will discuss  rely on Hodge theory\, which  has some analytic aspects giving the Hodge and Lefschetz decompositions\, and the Hodge-Riemann relations. We will see that a crucial ingredient\, the existence of a polarization\,  is missing in the general Kaehler context. We will also discuss some results and problems related to algebraic cycles and motives. \nTalk chair: Joe Harris \nVideo | Slides | Article
URL:https://cmsa.fas.harvard.edu/event/cmsa-math-science-literature-lecture_voisin93020/
LOCATION:Virtual
CATEGORIES:Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Lecture_Voisin-pdf.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200522T123000
DTEND;TZID=America/New_York:20200522T133000
DTSTAMP:20260511T110930
CREATED:20230715T083128Z
LAST-MODIFIED:20240209T054130Z
UID:10000136-1590150600-1590154200@cmsa.fas.harvard.edu
SUMMARY:CMSA Math-Science Literature Lecture: Four-dimensional topology
DESCRIPTION:Ciprian Manolescu (Stanford) \nTitle: Four-dimensional topology \nAbstract: I will outline the history of four-dimensional topology. Some major events were the work of Donaldson and Freedman from 1982\, and the introduction of the Seiberg-Witten equations in 1994. I will discuss these\, and then move on to what has been done in the last 20 years\, when the focus shifted to four-manifolds with boundary and cobordisms. Floer homology has led to numerous applications\, and recently there have also been a few novel results (and proofs of old results) using Khovanov homology. The talk will be accessible to a general mathematical audience. \nVideo
URL:https://cmsa.fas.harvard.edu/event/cmsa-math-science-literature-lecture_manolescu/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Lecture_Manolescu-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200522T123000
DTEND;TZID=America/New_York:20200522T133000
DTSTAMP:20260511T110930
CREATED:20230715T082921Z
LAST-MODIFIED:20240227T091238Z
UID:10000135-1590150600-1590154200@cmsa.fas.harvard.edu
SUMMARY:CMSA Math-Science Literature Lecture: From string theory and Moonshine to vertex algebras
DESCRIPTION:Bong Lian (Brandeis) \nTitle: From string theory and Moonshine to vertex algebras \nAbstract: This is a brief survey of the early historical development of vertex algebras\, beginning in the seventies from Physics and Representation Theory. We shall also discuss some of the ideas that led to various early formulations of the theory’s foundation\, and their relationships\, as well as some of the subsequent and recent developments. The lecture is aimed at a general audience. \nSlides | Video
URL:https://cmsa.fas.harvard.edu/event/cmsa-math-science-literature-lecture_lian/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Lecture_Lian-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200506T130000
DTEND;TZID=America/New_York:20200506T140000
DTSTAMP:20260511T110930
CREATED:20230715T082607Z
LAST-MODIFIED:20250328T201043Z
UID:10000134-1588770000-1588773600@cmsa.fas.harvard.edu
SUMMARY:CMSA Math-Science Literature Lecture: My life and times with the sporadic simple groups
DESCRIPTION:Robert Griess (University of Michigan) \nTitle: My life and times with the sporadic simple groups \nAbstract: Five sporadic simple groups were proposed in 19th century and 21 additional ones arose during the period 1965-1975. There were many discussions about the nature of finite simple groups and how sporadic groups are placed in mathematics. While in mathematics grad school at University of Chicago\,  I became fascinated with the unfolding story of sporadic simple groups. It involved theory\, detective work and experiments. During this lecture\, I will describe some of the people\, important ideas and evolution of thinking about sporadic simple groups. Most should be accessible to a general mathematical audience. \nVideo | Slides
URL:https://cmsa.fas.harvard.edu/event/cmsa-math-science-literature-lecture_griess/
LOCATION:Virtual
CATEGORIES:Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Lecture_Griess-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200505T110000
DTEND;TZID=America/New_York:20200505T120000
DTSTAMP:20260511T110930
CREATED:20230715T082325Z
LAST-MODIFIED:20240227T093025Z
UID:10000132-1588676400-1588680000@cmsa.fas.harvard.edu
SUMMARY:CMSA Math-Science Literature Lecture: Black Hole Formation
DESCRIPTION:Lydia Bieri (University of Michigan) \nTitle: Black Hole Formation \nAbstract: Can black holes form through the focusing of gravitational waves? This was an outstanding question since the early days of general relativity. In his breakthrough result of 2008\, Demetrios Chrstodoulou answered this question with “Yes!” In order to investigate this result\, we will delve deeper into the dynamical mathematical structures of the Einstein equations. Black holes are related to the presence of trapped surfaces in the spacetime manifold. Christodoulou proved that in the regime of pure general relativity and for arbitrarily dispersed initial data\, trapped surfaces form through the focusing of gravitational waves provided the incoming energy is large enough in a precisely defined way. The proof combines new ideas from geometric analysis and nonlinear partial differential equations as well as it introduces new methods to solve large data problems. These methods have many applications beyond general relativity. D. Christodoulou’s result was generalized in various directions by many authors. It launched mathematical activities going into multiple fields in mathematics and physics. In this talk\, we will discuss the mathematical framework of the above question. Then we will outline the main ideas of Christodoulou’s result and its generalizations\, show relations to other questions and give an overview of implications in other fields. \nVideo
URL:https://cmsa.fas.harvard.edu/event/cmsa-math-science-literature-lecture_bieri/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Lecture_Bieri-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200504T150000
DTEND;TZID=America/New_York:20200504T160000
DTSTAMP:20260511T110930
CREATED:20230715T081344Z
LAST-MODIFIED:20240227T092426Z
UID:10000133-1588604400-1588608000@cmsa.fas.harvard.edu
SUMMARY:CMSA Math-Science Literature Lecture: Quantum Groups
DESCRIPTION:Pavel Etingof (MIT) \nTitle: Quantum Groups \nAbstract: The theory of quantum groups developed in mid 1980s from attempts to construct and understand solutions of the quantum Yang-Baxter equation\, an important equation arising in quantum field theory and statistical mechanics. Since then\, it has grown into a vast subject with profound connections to many areas of mathematics\, such as representation theory\, the Langlands program\, low-dimensional topology\, category theory\, enumerative geometry\, quantum computation\, algebraic combinatorics\, conformal field theory\, integrable systems\, integrable probability\, and others. I will review some of the main ideas and examples of quantum groups and try to briefly describe some of the applications. \nVideo | Slides
URL:https://cmsa.fas.harvard.edu/event/cmsa-math-science-literature-lecture_etingof/
LOCATION:Virtual
CATEGORIES:Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Lecture_Etingof-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200504T130000
DTEND;TZID=America/New_York:20200504T140000
DTSTAMP:20260511T110930
CREATED:20230715T081933Z
LAST-MODIFIED:20250409T192434Z
UID:10000131-1588597200-1588600800@cmsa.fas.harvard.edu
SUMMARY:CMSA Math-Science Literature Lecture:  Rationality questions in algebraic geometry
DESCRIPTION:Joe Harris (Harvard) \nTitle: Rationality questions in algebraic geometry \nAbstract: Over the course of the history of algebraic geometry\, rationality questions — motivated by both geometric and arithmetic problems — have often driven the subject forward. The rationality or irrationality of cubic hypersurfaces in particular have led to the development of abelian integrals (dimension one)\, birational geometry (dimension two) and Hodge theory (dimension 3). But there remained much we didn’t understand about the condition of rationality\, such as how it behaves in families. However\, there has been recent progress: work of Hassett\, Tschinkel\, Pirutka and others\, working with examples in dimension 4\, showed that it is in general neither an open condition nor a closed one\, but does behave well with respect to specialization. In this talk I’ll try to give an overview of the history of rationality and the current state of our knowledge. \nVideo
URL:https://cmsa.fas.harvard.edu/event/cmsa-math-science-literature-lecture_harris/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Lecture_Harris_updated-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200415T080000
DTEND;TZID=America/New_York:20200415T090000
DTSTAMP:20260511T110930
CREATED:20230715T081655Z
LAST-MODIFIED:20231229T055314Z
UID:10000130-1586937600-1586941200@cmsa.fas.harvard.edu
SUMMARY:CMSA Math-Science Literature Lecture: Why do some universities have separate departments of statistics?
DESCRIPTION:Donald Rubin (Harvard) \nTitle: Why do some universities have separate departments of statistics? And are they all anachronisms\, destined to follow the path of other dinosaurs? \nVideo | Slides
URL:https://cmsa.fas.harvard.edu/event/cmsa-math-science-literature-lecture_rubin/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Lecture-Series-Don-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200404T150000
DTEND;TZID=America/New_York:20200404T160000
DTSTAMP:20260511T110930
CREATED:20230715T081154Z
LAST-MODIFIED:20231229T054939Z
UID:10000129-1586012400-1586016000@cmsa.fas.harvard.edu
SUMMARY:CMSA Math-Science Literature Lecture: The ADHM construction of Yang-Mills instantons
DESCRIPTION:Simon Donaldson (Stony Brook) \nTitle: The ADHM construction of Yang-Mills instantons \nAbstract: In 1978 (Physics Letters 65A) Atiyah\, Hitchin\, Drinfeld and Manin (ADHM) described a construction of the general solution of the Yang-Mills instanton equations over the 4-sphere using linear algebra. This was a major landmark in the modern interaction between geometry and physics\,  and the construction has been the scene for much research activity up to the present day. In this lecture we will review the background and the original ADHM proof\,  using Penrose’s twistor theory and results on algebraic vector bundles over projective 3-space. As time permits\, we will also discuss some further developments\, for example\, the work of Nahm on monopoles and connections to Mukai duality for bundles over complex tori. \nVideo | Slides
URL:https://cmsa.fas.harvard.edu/event/cmsa-math-science-literature-lecture_donaldson/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Lecture_Donaldson-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200313T140000
DTEND;TZID=America/New_York:20200313T150000
DTSTAMP:20260511T110930
CREATED:20230715T074115Z
LAST-MODIFIED:20240227T094116Z
UID:10000127-1584108000-1584111600@cmsa.fas.harvard.edu
SUMMARY:CMSA Math-Science Literature Lecture: Shiing-Shen Chern as a Great Geometer of 20th Century
DESCRIPTION:Shing-Tung Yau (Harvard) \nTitle: Shiing-Shen Chern as a Great Geometer of 20th Century \nVideo | Slides | Article
URL:https://cmsa.fas.harvard.edu/event/cmsa-math-science-literature-lecture_yau/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Yaulecture_Poster-pdf.jpeg
END:VEVENT
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