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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200219T163000
DTEND;TZID=America/New_York:20200219T173000
DTSTAMP:20260516T005103
CREATED:20240212T081736Z
LAST-MODIFIED:20240507T202728Z
UID:10001886-1582129800-1582133400@cmsa.fas.harvard.edu
SUMMARY:The Cubical Route to Understanding Groups
DESCRIPTION:Speaker: Daniel Wise (McGill University)\n\nTitle: The Cubical Route to Understanding Groups\n\nAbstract: Cube complexes have come to play an increasingly central role within geometric group theory\, as their connection to right-angled Artin groups provides a powerful combinatorial bridge between geometry and algebra. This talk will introduce nonpositively curved cube complexes\, and then describe the developments that culminated in the resolution of the virtual Haken conjecture for 3-manifolds and simultaneously dramatically extended our understanding of many infinite groups.
URL:https://cmsa.fas.harvard.edu/event/02-21-2020-colloquium/
LOCATION:MA
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Colloquium-2.26.20-1583x2048-1-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200207T163000
DTEND;TZID=America/New_York:20200207T173000
DTSTAMP:20260516T005103
CREATED:20240212T090243Z
LAST-MODIFIED:20240507T203547Z
UID:10001899-1581093000-1581096600@cmsa.fas.harvard.edu
SUMMARY:A Compact\, Logical Approach to Large-Market Analysis
DESCRIPTION:Speaker: Scott Duke Kominers (Harvard)\n\nTitle: A Compact\, Logical Approach to Large–Market Analysis\n\nAbstract: In game theory\, we often use infinite models to represent “limit” settings\, such as markets with a large number of agents or games with a long time horizon. Yet many game-theoretic models incorporate finiteness assumptions that\, while introduced for simplicity\, play a real role in the analysis. Here\, we show how to extend key results from (finite) models of matching\, games on graphs\, and trading networks to infinite models by way of Logical Compactness\, a core result from Propositional Logic. Using Compactness\, we prove the existence of man-optimal stable matchings in infinite economies\, as well as strategy-proofness of the man-optimal stable matching mechanism. We then use Compactness to eliminate the need for a finite start time in a dynamic matching model. Finally\, we use Compactness to prove the existence of both Nash equilibria in infinite games on graphs and Walrasian equilibria in infinite trading networks.
URL:https://cmsa.fas.harvard.edu/event/2-12-2020-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-02.12.20-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200205T163000
DTEND;TZID=America/New_York:20200205T173000
DTSTAMP:20260516T005103
CREATED:20240212T090826Z
LAST-MODIFIED:20240507T204003Z
UID:10001902-1580920200-1580923800@cmsa.fas.harvard.edu
SUMMARY:Gentle Measurement of Quantum States and Differential Privacy
DESCRIPTION:Speaker: Scott Aaronson (University of Texas at Austin) \nTitle: Gentle Measurement of Quantum States and Differential Privacy \nAbstract: I’ll discuss a recent connection between two seemingly unrelated problems: how to measure a collection of quantum states without damaging them too much (“gentle measurement”)\, and how to provide statistical data without leaking too much about individuals (“differential privacy\,” an area of classical CS). This connection leads\, among other things\, to a new protocol for “shadow tomography” of quantum states (that is\, answering a large number of questions about a quantum state given few copies of it). Based on joint work with Guy Rothblum (arXiv:1904.08747).
URL:https://cmsa.fas.harvard.edu/event/2-5-2020-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-02.05.20-1-1-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200129T163000
DTEND;TZID=America/New_York:20200129T173000
DTSTAMP:20260516T005103
CREATED:20240212T090021Z
LAST-MODIFIED:20240507T203431Z
UID:10001898-1580315400-1580319000@cmsa.fas.harvard.edu
SUMMARY:Data-intensive Innovation and the State: Evidence from AI Firms in China
DESCRIPTION:Speaker: David Yang (Harvard)\n\nTitle: Data–intensive Innovation and the State: Evidence from AI Firms in China\n\nAbstract: Data–intensive technologies such as AI may reshape the modern world. We propose that two features of data interact to shape innovation in data–intensive economies: first\, states are key collectors and repositories of data; second\, data is a non-rival input in innovation. We document the importance of state-collected data for innovation using comprehensive data on Chinese facial recognition AI firms and government contracts. Firms produce more commercial software and patents\, particularly data–intensive ones\, after receiving government public security contracts. Moreover\, effects are largest when contracts provide more data. We then build a directed technical change model to study the state’s role in three applications: autocracies demanding AI for surveillance purposes\, data-driven industrial policy\, and data regulation due to privacy concerns. When the degree of non-rivalry is as strong as our empirical evidence suggests\, the state’s collection and processing of data can shape the direction of innovation and growth of data–intensive economies.
URL:https://cmsa.fas.harvard.edu/event/1-29-2020-colloquium/
LOCATION:MA
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Colloquium-01.29.20-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20191204T163000
DTEND;TZID=America/New_York:20191204T173000
DTSTAMP:20260516T005103
CREATED:20240212T092619Z
LAST-MODIFIED:20240507T204529Z
UID:10001912-1575477000-1575480600@cmsa.fas.harvard.edu
SUMMARY:Emergence of graviton-like excitations from a lattice model
DESCRIPTION:Speaker: Xiao-Gang Wen (MIT)\n\nTitle: Emergence of graviton–like excitations from a lattice model\n\nAbstract: I will review some construction of lattice rotor model which give rise to emergent photons and graviton–like excitations. The appearance of vector-like charge and symmetric tensor field may be related to gapless fracton phases.
URL:https://cmsa.fas.harvard.edu/event/colloquium-12-4-2019/
LOCATION:MA
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Colloquium-12.04.19-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20191125T163000
DTEND;TZID=America/New_York:20191125T173000
DTSTAMP:20260516T005103
CREATED:20240212T094946Z
LAST-MODIFIED:20240514T173609Z
UID:10001934-1574699400-1574703000@cmsa.fas.harvard.edu
SUMMARY:Communication Complexity of Randomness Manipulation
DESCRIPTION:Speaker: Madhu Sudan (Harvard)\n\nTitle: Communication Complexity of Randomness Manipulation\n\nAbstract: The task of manipulating randomness has been a subject of intense investigation in the theory of computer science. The classical definition of this task consider a single processor massaging random samples from an unknown source and trying to convert it into a sequence of uniform independent bits.  In this talk I will talk about a less studied setting where randomness is distributed among different players who would like to convert this randomness to others forms with relatively little communication. For instance players may be given access to a source of biased correlated bits\, and their goal may be to get a common random bit out of this source. Even in the setting where the source is known this can lead to some interesting questions that have been explored since the 70s with striking constructions and some surprisingly hard questions. After giving some background\, I will describe a recent work which explores the task of extracting common randomness from correlated sources with bounds on the number of rounds of interaction. Based on joint works with Mitali Bafna (Harvard)\, Badih Ghazi (Google) and Noah Golowich (Harvard).
URL:https://cmsa.fas.harvard.edu/event/11-25-2019-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-11.25.19.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20191120T163000
DTEND;TZID=America/New_York:20191120T173000
DTSTAMP:20260516T005103
CREATED:20240212T095230Z
LAST-MODIFIED:20240514T173900Z
UID:10001938-1574267400-1574271000@cmsa.fas.harvard.edu
SUMMARY:An Introduction to the Non-Perturbative Bootstrap
DESCRIPTION:Speaker: Xi Yin (Harvard)\n\nTitle: An Introduction to the Non-Perturbative Bootstrap\n\nAbstract: I will discuss non-perturbative definitions of quantum field theories\, some properties of correlation functions of local operators\, and give a brief overview of some results and open questions concerning the conformal bootstrap
URL:https://cmsa.fas.harvard.edu/event/11-20-2019-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-11.20.19.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20191113T163000
DTEND;TZID=America/New_York:20191113T173000
DTSTAMP:20260516T005103
CREATED:20240212T093304Z
LAST-MODIFIED:20240514T174055Z
UID:10001917-1573662600-1573666200@cmsa.fas.harvard.edu
SUMMARY:Algebra\, Geometry and Topology of ERK Enzyme Kinetics
DESCRIPTION:Speaker: Heather Harrington (University of Oxford)\n\nTitle: Algebra\, Geometry and Topology of ERK Enzyme Kinetics\n\nAbstract: In this talk I will analyse ERK time course data by developing mathematical models of enzyme kinetics. I will present how we can use differential algebra and geometry for model identifiability and topological data analysis to study these the wild type dynamics of ERK and ERK mutants. This work is joint with Lewis Marsh\, Emilie Dufresne\, Helen Byrne and Stanislav Shvartsman.
URL:https://cmsa.fas.harvard.edu/event/11-13-2019-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-11.13.19.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20191106T163000
DTEND;TZID=America/New_York:20191106T173000
DTSTAMP:20260516T005103
CREATED:20240212T110821Z
LAST-MODIFIED:20240514T174634Z
UID:10002037-1573057800-1573061400@cmsa.fas.harvard.edu
SUMMARY:A unified perspective on integrability
DESCRIPTION:Speaker: Kevin Costello (Perimeter Institute)\n\nTitle: A unified perspective on integrability\n\nAbstract: Two-dimensional integrable field theories\, and the integrable PDEs which are their classical limits\, play an important role in mathematics and physics.   I will describe a geometric construction of integrable field theories which yields (essentially) all known integrable theories as well as many new ones.  Billiard dynamical systems will play a surprising role. Based on work (partly in progress) with Gaiotto\, Lee\, Yamazaki\, Witten\, and Wu.
URL:https://cmsa.fas.harvard.edu/event/11-6-2019-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-11.06.19-791x1024-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20191030T163000
DTEND;TZID=America/New_York:20191030T173000
DTSTAMP:20260516T005103
CREATED:20240212T111504Z
LAST-MODIFIED:20240514T174927Z
UID:10002049-1572453000-1572456600@cmsa.fas.harvard.edu
SUMMARY:Spacetime\, Quantum Mechanics and Positive Geometry at Infinity
DESCRIPTION:Speaker: Nima Arkani-Hamed (IAS)\n\nTitle: Spacetime\, Quantum Mechanics and Positive Geometry at Infinity\n 
URL:https://cmsa.fas.harvard.edu/event/10-30-2019-colloquium/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Colloquium-10.30.19-791x1024-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20191016T160000
DTEND;TZID=America/New_York:20191016T170000
DTSTAMP:20260516T005103
CREATED:20240212T103628Z
LAST-MODIFIED:20240514T175134Z
UID:10001994-1571241600-1571245200@cmsa.fas.harvard.edu
SUMMARY:Monogamy of entanglement and convex geometry
DESCRIPTION:Speaker: Aram Harrow (MIT)\n\n\nTitle: Monogamy of entanglement and convex geometry\nAbstract: The SoS (sum of squares) hierarchy is a flexible algorithm that can be used to optimize polynomials and to test whether a quantum state is entangled or separable.  (Remarkably\, these two problems are nearly isomorphic.)  These questions lie at the boundary of P\, NP and the unique games conjecture\, but it is in general open how well the SoS algorithm performs.   I will discuss how ideas from quantum information (the “monogamy” property of entanglement) can be used to understand this algorithm.  Then I will describe an alternate algorithm that relies on apparently different tools from convex geometry that achieves similar performance.  This is an example of a series of remarkable parallels between SoS algorithms and simpler algorithms that exhaustively search over carefully chosen sets.  Finally\, I will describe known limitations on SoS algorithms for these problems.\n  \n 
URL:https://cmsa.fas.harvard.edu/event/10-16-2019-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-10.16.19-791x1024-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20191009T163000
DTEND;TZID=America/New_York:20191009T173000
DTSTAMP:20260516T005103
CREATED:20240212T101721Z
LAST-MODIFIED:20240514T175345Z
UID:10001968-1570638600-1570642200@cmsa.fas.harvard.edu
SUMMARY:Global Existence and Scattering for Einstein's equations and related equations satisfying the weak null condition
DESCRIPTION:Speaker: Hans Lindblad (Johns Hopkins University) \nTitle:  Global Existence and Scattering for Einstein’s equations and related equations satisfying the weak null condition \nAbstract: Einstein’s equations in harmonic or wave coordinates are a system of nonlinear wave equations for a Lorentzian metric\, that in addition satisfy the preserved wave coordinate condition. Christodoulou-Klainerman proved global existence for Einstein vacuum equations for small asymptotically flat initial data. Their proof avoids using coordinates since it was believed the metric in harmonic coordinates would blow up for large times. John had noticed that solutions to some nonlinear wave equations blow up for small data\, whereas Klainerman came up with the ‘null condition’\, that guaranteed global existence for small data. However Einstein’s equations do not satisfy the null condition. Hormander introduced a simplified asymptotic system by neglecting angular derivatives which we expect decay faster due to the rotational invariance\, and used it to study blowup. I showed that the asymptotic system corresponding to the quasilinear part of Einstein’s equations does not blow up and gave an example of a nonlinear equation of this form that has global solutions even though it does not satisfy the null condition. Together with Rodnianski we introduced the ‘weak null condition’ requiring that the corresponding asymptotic system have global solutions and we showed that Einstein’s equations in wave coordinates satisfy the weak null condition and we proved global existence for this system. Our method reduced the proof to a fraction and has now been used to prove global existence also with matter fields. \nRecently I derived precise asymptotics for the metric which involves logarithmic corrections to the radiation field of solutions of linear wave equations. We are further imposing these asymptotics at infinity and solve the equations backwards to obtain global solutions with given data at infinity.
URL:https://cmsa.fas.harvard.edu/event/10-9-2019-colloquium/
LOCATION:MA
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Colloquium-10.09.19-2-789x1024-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20191002T163000
DTEND;TZID=America/New_York:20191002T173000
DTSTAMP:20260516T005103
CREATED:20240212T101431Z
LAST-MODIFIED:20240530T194159Z
UID:10001965-1570033800-1570037400@cmsa.fas.harvard.edu
SUMMARY:Cohomologies on almost complex manifolds and their applications 
DESCRIPTION:Speaker: Spiro Karigiannis (University of Waterloo)\n\n\nTitle: Cohomologies on almost complex manifolds and their applications\n\nAbstract: We define three cohomologies on an almost complex manifold (M\, J)\, defined using the Nijenhuis-Lie derivations induced from the almost complex structure J and its Nijenhuis tensor N\, regarded as vector-valued forms on M. One of these can be applied to distinguish non-isomorphic non-integrable almost complex structures on M. Another one\, the J-cohomology\, is familiar in the integrable case but we extend its definition and applicability to the case of non-integrable almost complex structures. The J-cohomology encodes whether a complex manifold satisfies the “del-delbar-lemma”\, and more generally in the non-integrable case the J-cohomology encodes whether (M\, J) satisfies a generalization of this lemma. We also mention some other potential cohomologies on almost complex manifolds\, related to an interesting question involving the Nijenhuis tensor. This is joint work with Ki Fung Chan and Chi Cheuk Tsang.
URL:https://cmsa.fas.harvard.edu/event/10-2-2019-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-10.02.19-791x1024-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20190925T163000
DTEND;TZID=America/New_York:20190925T173000
DTSTAMP:20260516T005103
CREATED:20240212T104035Z
LAST-MODIFIED:20240514T175737Z
UID:10001999-1569429000-1569432600@cmsa.fas.harvard.edu
SUMMARY:Double affine Hecke algebras
DESCRIPTION:Speaker: Pavel Etingof (MIT)\n\nTitle:  Double affine Hecke algebras\n\nAbstract: Double affine Hecke algebras (DAHAs) were introduced by I. Cherednik in the early 1990s to prove Macdonald’s conjectures. A DAHA is the quotient of the group algebra of the elliptic braid group attached to a root system by Hecke relations. DAHAs and their degenerations are now central objects of representation theory. They also have numerous connections to many other fields — integrable systems\, quantum groups\, knot theory\, algebraic geometry\, combinatorics\, and others. In my talk\, I will discuss the basic properties of double affine Hecke algebras and touch upon some applications.\n\n\n\n  \n 
URL:https://cmsa.fas.harvard.edu/event/9-25-2019-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-09.25.19-791x1024-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20190918T163000
DTEND;TZID=America/New_York:20190918T173000
DTSTAMP:20260516T005103
CREATED:20240212T102253Z
LAST-MODIFIED:20240514T175908Z
UID:10001976-1568824200-1568827800@cmsa.fas.harvard.edu
SUMMARY:A taste of noncommutative convex algebraic geometry
DESCRIPTION:Speaker: Bill Helton (UC San Diego)\n\nTitle:  A taste of noncommutative convex algebraic geometry\n\nAbstract: The last decade has seen the development of a substantial noncommutative (in a free algebra) real and complex algebraic geometry. The aim of the subject is to develop a systematic theory of equations and inequalities for (noncommutative) polynomials or rational functions of matrix variables. Such issues occur in linear systems engineering problems\, in free probability (random matrices)\, and in quantum information theory. In many ways the noncommutative (NC) theory is much cleaner than classical (real) algebraic geometry. For example\,\n\n◦ A NC polynomial\, whose value is positive semidefinite whenever you plug matrices into it\, is a sum of squares of NC polynomials.\n◦ A convex NC semialgebraic set has a linear matrix inequality representation.\n◦ The natural Nullstellensatz are falling into place.\n\n The goal of the talk is to give a taste of a few basic results and some idea of how these noncommutative problems occur in engineering. The subject is just beginning and so is accessible without much background. Much of the work is joint with Igor Klep who is also visiting CMSA for the Fall of 2019.
URL:https://cmsa.fas.harvard.edu/event/9-18-2019-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-09.12.19-791x1024-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20190424T163000
DTEND;TZID=America/New_York:20190424T173000
DTSTAMP:20260516T005103
CREATED:20240212T103852Z
LAST-MODIFIED:20240514T180043Z
UID:10001998-1556123400-1556127000@cmsa.fas.harvard.edu
SUMMARY:Credible Mechanisms
DESCRIPTION:Speaker: Shengwu Li (Harvard)\n\n\nTitle: Credible Mechanisms\n\nAbstract: Consider an extensive-form mechanism\, run by an auctioneer who communicates sequentially and privately with agents. Suppose the auctioneer can deviate from the rules provided that no single agent detects the deviation. A mechanism is credible if it is incentive-compatible for the auctioneer to follow the rules. We study the optimal auctions in which only winners pay\, under symmetric independent private values. The first-price auction is the unique credible static mechanism. The ascending auction is the unique credible strategy-proof mechanism.
URL:https://cmsa.fas.harvard.edu/event/4-24-2019-colloquium/
LOCATION:MA
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Colloquium-042419.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20190417T163000
DTEND;TZID=America/New_York:20190417T173000
DTSTAMP:20260516T005103
CREATED:20240212T095021Z
LAST-MODIFIED:20240514T180443Z
UID:10001936-1555518600-1555522200@cmsa.fas.harvard.edu
SUMMARY:Machine Learning Physics: From Quantum Mechanics to Holographic Geometry
DESCRIPTION:Speaker: Yi–Zhuang You (UCSD)\n\n\n\nTitle: Machine Learning Physics: From Quantum Mechanics to Holographic Geometry\n\n\n\nAbstract: Inspired by the “third wave” of artificial intelligence (AI)\, machine learning has found rapid applications in various topics of physics research. Perhaps one of the most ambitious goals of machine learning physics is to develop novel approaches that ultimately allows AI to discover new concepts and governing equations of physics from experimental observations. In this talk\, I will present our progress in applying machine learning technique to reveal the quantum wave function of Bose-Einstein condensate (BEC) and the holographic geometry of conformal field theories. In the first part\, we apply machine translation to learn the mapping between potential and density profiles of BEC and show how the concept of quantum wave function can emerge in the latent space of the translator and how the Schrodinger equation is formulated as a recurrent neural network. In the second part\, we design a generative model to learn the field theory configuration of the XY model and show how the machine can identify the holographic bulk degrees of freedom and use them to probe the emergent holographic geometry.\n\n\n[1] C. Wang\, H. Zhai\, Y.-Z. You. Uncover the Black Box of Machine Learning Applied to Quantum Problem by an Introspective Learning Architecture https://arxiv.org/abs/1901.11103\n[2] H.-Y. Hu\, S.-H. Li\, L. Wang\, Y.-Z. You. Machine Learning Holographic Mapping by Neural Network Renormalization Group https://arxiv.org/abs/1903.00804\n[3] Y.-Z. You\, Z. Yang\, X.-L. Qi. Machine Learning Spatial Geometry from Entanglement Features https://arxiv.org/abs/1709.01223
URL:https://cmsa.fas.harvard.edu/event/4-17-2019-colloquium/
LOCATION:MA
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Colloquium-041719-5.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20190410T143000
DTEND;TZID=America/New_York:20190410T153000
DTSTAMP:20260516T005103
CREATED:20240212T112326Z
LAST-MODIFIED:20240514T181503Z
UID:10002069-1554906600-1554910200@cmsa.fas.harvard.edu
SUMMARY:Inequality Aversion\, Populism\, and the Backlash Against Globalization
DESCRIPTION:Speaker: Pietro Veronesi (University of Chicago) \nTitle: Inequality Aversion\, Populism\, and the Backlash Against Globalization \nAbstract: Motivated by the recent rise of populism in western democracies\, we develop a model in which a populist backlash emerges endogenously in a growing economy. In the model\, voters dislike inequality\, especially the high consumption of “elites.” Economic growth exacerbates inequality due to heterogeneity in risk aversion. In response to rising inequality\, rich-country voters optimally elect a populist promising to end globalization. Countries with more inequality\, higher financial development\, and current account deficits are more vulnerable to populism\, both in the model and in the data. Evidence on who voted for Brexit and Trump in 2016 also supports the model.
URL:https://cmsa.fas.harvard.edu/event/4-10-2019-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-041019-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20190403T143000
DTEND;TZID=America/New_York:20190403T153000
DTSTAMP:20260516T005103
CREATED:20240212T112705Z
LAST-MODIFIED:20240514T181644Z
UID:10002077-1554301800-1554305400@cmsa.fas.harvard.edu
SUMMARY:Deregulation through Direct Democracy: Lessons from Liquor
DESCRIPTION:Speaker:  Sarah Moshary (University of Chicago) \nTitle:  Deregulation through Direct Democracy: Lessons from Liquor \nAbstract:  This paper examines the merits of state control versus private provision of spirits retail\, using the 2012 deregulation of liquor sales in Washington state as an event study. We document effects along a number of dimensions: prices\, product variety\, convenience\, substitution to other goods\, state revenue\, and consumption externalities. We estimate a demand system to evaluate the net effect of privatization on consumer welfare. Our findings suggest that deregulation harmed the median Washingtonian\, even though residents voted in favor of deregulation by a 16% margin. Further\, we find that vote shares for the deregulation initiative do not reflect welfare gains at the ZIP code level. We discuss implications of our findings for the efficacy of direct democracy as a policy tool.
URL:https://cmsa.fas.harvard.edu/event/4-3-2019-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-040319.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20190327T171500
DTEND;TZID=America/New_York:20190327T181500
DTSTAMP:20260516T005103
CREATED:20240212T110407Z
LAST-MODIFIED:20240514T181829Z
UID:10002031-1553706900-1553710500@cmsa.fas.harvard.edu
SUMMARY:Hyperbolic geometry of the olfactory space
DESCRIPTION:Speaker: Tatyana Sharpee (Salk Institute for Biological Studies) \nTitle: Hyperbolic geometry of the olfactory space \nAbstract: The sense of smell can be used to avoid poisons or estimate a food’s nutrition content because biochemical reactions create many by-products. Thus\, the presence of certain bacteria in the food becomes associated with the emission of certain volatile compounds. This perspective suggests that it would be convenient for the nervous system encode odors based on statistics of their co-occurrence within natural mixtures rather than based on the chemical structure per se. I will discuss how this statistical perspective makes it possible to map odors to points in a hyperbolic space. Hyperbolic coordinates have a long but often underappreciated history of relevance to biology. For example\, these coordinates approximate distance between species computed along dendograms\, and more generally between points within hierarchical tree-like networks. We find that these coordinates\, which were generated purely based on the statistics of odors in the natural environment\, provide a contiguous map of human odor pleasantness. Further\, a separate analysis of human perceptual descriptions of smells indicates that these also generate a three dimensional hyperbolic representation of odors. This match in geometries between natural odor statistics and human perception can help to minimize distortions that would otherwise arise when mapping odors to perception. We identify three axes in the perceptual space that are aligned with odor pleasantness\, its molecular boiling point and acidity. Because the perceptual space is curved\, one can predict odor pleasantness by knowing the coordinates along the molecular boiling point and acidity axes. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/3-27-2019-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-032719.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20190320T163000
DTEND;TZID=America/New_York:20190320T173000
DTSTAMP:20260516T005103
CREATED:20240212T105115Z
LAST-MODIFIED:20240507T204308Z
UID:10002015-1553099400-1553103000@cmsa.fas.harvard.edu
SUMMARY:Quality Externalities on Platforms: The Case of Airbnb
DESCRIPTION:Speaker:  Sonia Jaffe  (Microsoft) \nTitle: Quality Externalities on Platforms: The Case of Airbnb \nAbstract:  We explore quality externalities on platforms: when buyers have limited information\, a seller’s quality affects whether her buyers return to the platform\, thereby impacting other sellers’ future business. We propose an intuitive measure of this externality\, applicable across a range of platforms. Guest Return Propensity (GRP) is the aggregate propensity of a seller’s customers to return to the platform. We validate this metric using Airbnb data: matching customers to listings with a one standard deviation higher GRP causes them to take 17% more subsequent trips. By directing buyers to higher-GRP sellers\, platforms may be able to increase overall seller surplus. (Joint work with Peter Coles\, Steven Levitt\, and Igor Popov.)
URL:https://cmsa.fas.harvard.edu/event/3-20-2019-colloquium/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
ATTACH;FMTTYPE=application/pdf:https://cmsa.fas.harvard.edu/media/CMSA-Colloquium-032019.pdf
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20190313T171500
DTEND;TZID=America/New_York:20190313T181500
DTSTAMP:20260516T005103
CREATED:20240212T105402Z
LAST-MODIFIED:20240514T182140Z
UID:10002017-1552497300-1552500900@cmsa.fas.harvard.edu
SUMMARY:On the geometry and topology of initial data sets in General Relativity
DESCRIPTION:Speaker: Greg Galloway (University of Miami) \nTitle: On the geometry and topology of initial data sets in General Relativity \nAbstract: A theme of long standing interest (to the speaker!) concerns the relationship between the topology of spacetime and the occurrence of singularities (causal geodesic incompleteness). Many results concerning this center around the notion of topological censorship\, which has to do with the idea that the region outside all black holes (and white holes) should be simple. The aim of the results to be presented is to provide support for topological censorship at the pure initial data level\, thereby circumventing difficult issues of global evolution. The proofs rely on the recently developed theory of marginally outer trapped surfaces\, which are natural spacetime analogues of minimal surfaces in Riemannian geometry. The talk will begin with a brief overview of general relativity and topological censorship. The talk is based primarily on joint work with various collaborators: Lars Andersson\, Mattias Dahl\, Michael Eichmair and Dan Pollack.
URL:https://cmsa.fas.harvard.edu/event/2-13-2019-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-031319-791x1024-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20190228T143000
DTEND;TZID=America/New_York:20190228T150000
DTSTAMP:20260516T005103
CREATED:20240212T104226Z
LAST-MODIFIED:20240514T182343Z
UID:10002002-1551364200-1551366000@cmsa.fas.harvard.edu
SUMMARY:A sharp transition for Gibbs measures associated to the nonlinear Schrödinger equation
DESCRIPTION:Speaker: Philippe Sosoe (Cornell) \nTitle: A sharp transition for Gibbs measures associated to the nonlinear Schrödinger equation \nAbstract: In 1987\, Lebowitz\, Rose and Speer (LRS) showed how to construct formally invariant measures for the nonlinear Schrödinger equation on the torus. This seminal contribution spurred a large amount of activity in the area of partial differential equations with random initial data. In this talk\, I will explain LRS’s result\, and discuss a sharp transition in the construction of the Gibbs-type invariant measures considered by these authors. (Joint work with Tadahiro Oh and Leonardo Tolomeo)
URL:https://cmsa.fas.harvard.edu/event/3-6-2019-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-030619-791x1024-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20190227T143000
DTEND;TZID=America/New_York:20190227T153000
DTSTAMP:20260516T005103
CREATED:20240212T102330Z
LAST-MODIFIED:20240514T182606Z
UID:10001978-1551277800-1551281400@cmsa.fas.harvard.edu
SUMMARY:Sentiment and Speculation in a Market with Heterogeneous Beliefs
DESCRIPTION:Speaker: Ian Martin (LSE) \nTitle: Sentiment and Speculation in a Market with Heterogeneous Beliefs \nAbstract: We present a dynamic model featuring risk-averse investors with heterogeneous beliefs. Individual investors have stable beliefs and risk aversion\, but agents who were correct in hindsight become relatively wealthy; their beliefs are overrepresented in market sentiment\, so “the market” is bullish following good news and bearish following bad news. Extreme states are far more important than in a homogeneous economy. Investors understand that sentiment drives volatility up\, and demand high risk premia in compensation. Moderate investors supply liquidity: they trade against market sentiment in the hope of capturing a variance risk premium created by the presence of extremists. [Joint work with Dimitris Papadimitriou] \n  \n 
URL:https://cmsa.fas.harvard.edu/event/2-27-2019-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-022719-e1550767365109.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20190220T163000
DTEND;TZID=America/New_York:20190220T173000
DTSTAMP:20260516T005103
CREATED:20240212T114533Z
LAST-MODIFIED:20240514T182813Z
UID:10002102-1550680200-1550683800@cmsa.fas.harvard.edu
SUMMARY:Optimally Imprecise Memory and Biased Forecasts
DESCRIPTION:Speaker: Michael Woodford (Columbia) \nTitle: Optimally Imprecise Memory and Biased Forecasts \nAbstract: We propose a model of optimal decision making subject to a memory constraint. The constraint is a limit on the complexity of memory measured using Shannon’s mutual information\, as in models of rational inattention; the structure of the imprecise memory is optimized (for a given decision problem and noisy environment) subject to this constraint. We characterize the form of the optimally imprecise memory\, and show that the model implies that both forecasts and actions will exhibit idiosyncratic random variation; that beliefs will fluctuate forever around the rational-expectations (perfect-memory) beliefs with a variance that does not fall to zero; and that more recent news will be given disproportionate weight. The model provides a simple explanation for a number of features of observed forecast bias in laboratory and field settings. [Joint work with Rava Azeredo da Silveira and Yeji Sung
URL:https://cmsa.fas.harvard.edu/event/2-20-2019-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-022019-791x1024-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20190207T163000
DTEND;TZID=America/New_York:20190207T173000
DTSTAMP:20260516T005103
CREATED:20240212T101329Z
LAST-MODIFIED:20240514T182948Z
UID:10001963-1549557000-1549560600@cmsa.fas.harvard.edu
SUMMARY:Inference for the Mean
DESCRIPTION:Speaker: Ulrich Mueller (Princeton) \nTitle: Inference for the Mean \nAbstract: Consider inference about the mean of a population with finite variance\, based on an i.i.d. sample. The usual t-statistic yields correct inference in large samples\, but heavy tails induce poor small sample behavior. This paper combines extreme value theory for the smallest and largest observations with a normal approximation for the t-statistic of a truncated sample to obtain more accurate inference. This alternative approximation is shown to provide a refinement over the standard normal approximation to the full sample t-statistic under more than two but less than three moments\, while the bootstrap does not. Small sample simulations suggest substantial size improvements over the bootstrap.
URL:https://cmsa.fas.harvard.edu/event/2-7-2019-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-020719.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20190119T163000
DTEND;TZID=America/New_York:20190119T163000
DTSTAMP:20260516T005103
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:20181205T163000
DTEND;TZID=America/New_York:20181205T173000
DTSTAMP:20260516T005103
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:20181128T163000
DTEND;TZID=America/New_York:20181128T173000
DTSTAMP:20260516T005103
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:20181119T150000
DTEND;TZID=America/New_York:20181119T160000
DTSTAMP:20260516T005103
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
END:VCALENDAR