|
Speaker:Title: Advances in Mathematical PhysicsVenue: Harvard Science CenterA Conference in Honor of Elliott H. Lieb on his 90th Birthday On July 30 – Aug 1, 2022 the Harvard Mathematics Department and the CMSA co-hosted a birthday conference in honor of Elliott Lieb. This meeting highlights Elliott’s vast contribution to math and physics. Additionally, this meeting features Prof. Lieb’s more recent impact in strong subadditivity of entropy and integrable systems (ice model, Temperley-Lieb algebra etc.). Venue: July 30–31, 2022: Hall B, Science Center, 1 Oxford Street, Cambridge, MA, 02138 August 1, 2022: Hall C, Science Center, 1 Oxford Street, Cambridge, MA, 02138 Schedule (pdf) Organizers: Michael Aizenman, Princeton University Joel Lebowitz, Rutgers University Ruedi Seiler, Technische Universität Berlin Herbert Spohn, Technical University of Munich Horng-Tzer Yau,… |
|
Speaker:Title: Joint BHI/CMSA Conference on Flat HolographyVenue: VirtualOn June 21–24, 2022, the Harvard Black Hole Initiative and the CMSA hosted the Joint BHI/CMSA Conference on Flat Holography (and related topics). The recent discovery of infinitely-many soft symmetries for all quantum theories of gravity in asymptotically flat space has provided a promising starting point for a bottom-up construction of a holographic dual for the real world. Recent developments have brought together previously disparate studies of soft theorems, asymptotic symmetries, twistor theory, asymptotically flat black holes and their microscopic duals, self-dual gravity, and celestial scattering amplitudes, and link directly to AdS/CFT. The conference was held in room G10 of the CMSA, 20 Garden Street, Cambridge, MA. Organizers: Daniel Kapec, CMSA Andrew Strominger, BHI Shing-Tung Yau, Harvard &… |
|
Speaker:Title: Symposium on Foundations of Responsible Computing (FORC)Venue: CMSA Room G10On June 6-8, 2022, the CMSA hosted the 3rd annual Symposium on Foundations of Responsible Computing (FORC). The Symposium on Foundations of Responsible Computing (FORC) is a forum for mathematical research in computation and society writ large. The Symposium aims to catalyze the formation of a community supportive of the application of theoretical computer science, statistics, economics and other relevant analytical fields to problems of pressing and anticipated societal concern. Organizers: Cynthia Dwork, Harvard SEAS | Omer Reingold, Stanford | Elisa Celis, Yale Schedule DOWNLOAD PDF June 6, 2022 9:15 am–10:15 am Opening Remarks Keynote Speaker: Caroline Nobo, Yale University Title: From Theory to Impact: Why Better Data Systems are Necessary for Criminal Legal Reform Abstract: This talk will dive into… |
|
Speaker:Title: 2022 Summer Introduction to Mathematical ResearchVenue: virtualThe Math Department and Harvard’s Center of Mathematical Sciences and Applications (CMSA) will be running a math program/course for mathematically minded undergraduates this summer. The course will be run by Dr. Yingying Wu from CMSA. Here is a description: Summer Introduction to Mathematical Research (sponsored by CMSA and the Harvard Math Department) In this course, we will start with an introduction to computer programming, algorithms, and scientific computing. Then we will discuss topics in topology, classical geometry, projective geometry, and differential geometry, and see how they can be applied to machine learning. We will go on to discuss fundamental concepts of deep learning, different deep neural network models, and mathematical interpretations of why deep neural networks are effective from a calculus… |
|
Speaker:Title: SMaSH: Symposium for Mathematical Sciences at HarvardVenue: Science and Engineering Complex (SEC)SMaSH: Symposium for Mathematical Sciences at Harvard On Tuesday, May 17, 2022, from 9:00 am – 5:30 pm, the Harvard John A Paulson School of Engineering and Applied Sciences (SEAS) and the Harvard Center of Mathematical Sciences and Applications (CMSA) held a Symposium for Mathematical Sciences for the mathematical sciences community at Harvard. Organizing Committee Michael Brenner, Applied Mathematics (SEAS) Michael Desai, Organismic and Evolutionary Biology (FAS) Sam Gershman, Psychology (FAS) Michael Hopkins, Mathematics (FAS) Gary King, Government (FAS) Peter Koellner, Philosophy (FAS) Scott Kominers, Economics (FAS) & Entrepreneurial Management (HBS) Xihong Lin, Biostatistics (HSPH) & Statistics (FAS) Yue Lu, Electrical Engineering (SEAS) Susan Murphy, Statistics (FAS) & Computer Science (SEAS) Lisa Randall, Physics (SEAS) Eugene Shakhnovich, Chemistry… |
|
Speaker:Title: Conference in Memory of Professor Masatake KuranishiVenue: Science and Engineering Complex (SEC)On May 9–12, 2022, the CMSA hosted the conference Deformations of structures and moduli in geometry and analysis: A Memorial in honor of Professor Masatake Kuranishi. Organizers: Tristan Collins (MIT) and Shing-Tung Yau (Harvard and Tsinghua) Videos are available on the conference playlist. Speakers: Charles Fefferman (Princeton University) Teng Fei (Rutgers University) Robert Friedman (Columbia University) Kenji Fukaya (Simons Center, Stony Brook) Akito Futaki (Tsinghua University) Victor Guillemin (Massachusetts Institute of Technology) Nigel Hitchin (Oxford University) Blaine Lawson (Stony Brook University) Yu-Shen Lin (Boston University) Melissa C.C. Liu (Columbia University) Takeo Ohsawa (Nagoya University) Duong H. Phong (Columbia University) Sebastien Picard (University of British Columbia) Paul Seidel (Massachusetts Institute of Technology) Gabor Szekelyhidi (University of Notre Dame) Claire Voisin… |
|
Speaker:Title: 2022 NSF FRG Workshop on Discrete ShapesVenue: VirtualOn May 6–8, 2022, the CMSA hosted a second NSF FRG Workshop. This project brings together a community of researchers who develop theoretical and computational models to characterize shapes. Their combined interests span Mathematics (Geometry and Topology), Computer Science (Scientific Computing and Complexity Theory), and domain sciences, from Data Sciences to Computational Biology. Scientific research benefits from the development of an ever-growing number of sensors that are able to capture details of the world at increasingly fine resolutions. The seemingly unlimited breadth and depth of these sources provide the means to study complex systems in a more comprehensive way. At the same time, however, these sensors are generating a huge amount of data that comes with a high… |
|
Speaker:Title: General Relativity WorkshopVenue: VirtualGeneral Relativity Workshop on scalar curvature, minimal surfaces, and initial data sets Dates: May 2–5, 2022 Location: Room G10, CMSA, 20 Garden Street, Cambridge MA 02138 and via Zoom webinar. Advanced registration for in-person components is required. Organizers: Dan Lee (CMSA/CUNY), Martin Lesourd (CMSA/BHI), and Lan-Hsuan Huang (University of Connecticut). Speakers: Zhongshan An, University of Connecticut Paula Burkhardt-Guim, NYU Hyun Chul Jang, University of Miami Chao Li, NYU Christos Mantoulidis, Rice University Robin Neumayer, Carnegie Mellon University Andre Neves, University of Chicago Tristan Ozuch, MIT Annachiara Piubello, University of Miami Antoine Song, UC Berkeley Tin-Yau Tsang, UC Irvine Ryan Unger, Princeton Zhizhang Xie, Texas A & M Xin Zhou, Cornell University Jonathan Zhu, Princeton University Schedule Download PDF Monday,… |
|
Speaker:Title: Workshop on Nonlinear Algebra and Combinatorics from PhysicsVenue: VirtualOn April 27–29, 2022, the CMSA hosted a workshop on Nonlinear Algebra and Combinatorics. Organizers: Bernd Sturmfels (MPI Leipzig) and Lauren Williams (Harvard). In recent years, ideas from integrable systems and scattering amplitudes have led to advances in nonlinear algebra and combinatorics. In this short workshop, aimed at younger participants in the field, we will explore some of the interactions between the above topics. Speakers: Federico Ardila (San Francisco State) Nima Arkani-Hamed (IAS) Madeline Brandt (Brown) Nick Early (Max Planck Institute) Chris Eur (Harvard) Claudia Fevola (Max Planck Institute) Christian Gaetz (Harvard) Yuji Kodama (Ohio State University) Yelena Mandelshtam (Berkeley) Sebastian Mizera (IAS) Matteo Parisi (Harvard CMSA) Emma Previato (Boston University) Anna Seigal (Harvard) Melissa Sherman-Bennett (University of Michigan)… |
|
Speaker: Eric MaskinTitle: CMSA/Tsinghua Math-Science Literature Lecture: Three Introductory Lectures on Game Theory for Mathematicians: Auction TheoryVenue: virtualEric Maskin (Harvard University) Three Introductory Lectures on Game Theory for Mathematicians April 22, 2022 | 9:30 – 11:00 am ET Title: Auction Theory Abstract: Equivalences among four standard auctions: the high-bid auction (the high bidder wins and pays her bid); the second-bid auction (the high bidder wins and pays the second-highest bid); the Dutch auction (the auctioneer lowers the price successively until some bidder is willing to pay); and the English auction (bidders raise their bids successively until no one wants to bid higher). Talk chairs: Scott Kominers, Sergiy Verstyuk SLIDES | VIDEO Answers to Questions from Talks 2 and 3 |
|
Speaker: Eric MaskinTitle: CMSA/Tsinghua Math-Science Literature Lecture: Three Introductory Lectures on Game Theory for Mathematicians: Mechanism DesignVenue: virtualEric Maskin (Harvard University) Three Introductory Lectures on Game Theory for Mathematicians April 20, 2022 | 9:30 – 11:00 am ET Title: Mechanism Design Abstract: Given a social goal, under what circumstances can we design a game to achieve that goal? Talk chairs: Scott Kominers, Sergiy Verstyuk SLIDES | VIDEO |
|
Speaker: Eric MaskinTitle: CMSA/Tsinghua Math-Science Literature Lecture: Three Introductory Lectures on Game Theory for Mathematicians: Game Theory Basics and Classical Existence TheoremsVenue: virtualEric Maskin (Harvard University) Three Introductory Lectures on Game Theory for Mathematicians April 18, 2022 | 9:30 – 11:00 am ET Title: Game Theory Basics and Classical Existence Theorems Abstract: Games in extensive and normal form. Equilibrium existence theorems by Nash, von Neumann, and Zermelo Talk chairs: Scott Kominers, Sergiy Verstyuk SLIDES | VIDEO |
|
Speaker:Title: Workshop on Machine Learning and Mathematical ConjectureVenue: CMSA Room G10On April 15, 2022, the CMSA will hold a one-day workshop, Machine Learning and Mathematical Conjecture, related to the New Technologies in Mathematics Seminar Series. Location: Room G10, 20 Garden Street, Cambridge, MA 02138. Organizers: Michael R. Douglas (CMSA/Stony Brook/IAIFI) and Peter Chin (CMSA/BU). Machine learning has driven many exciting recent scientific advances. It has enabled progress on long-standing challenges such as protein folding, and it has helped mathematicians and mathematical physicists create new conjectures and theorems in knot theory, algebraic geometry, and representation theory. At this workshop, we will bring together mathematicians, theoretical physicists, and machine learning researchers to review the state of the art in machine learning, discuss how ML results can be used to inspire, test… |
|
Speaker:Title: Second Annual Yip Lecture: Extraterrestrial LifeVenue: Harvard Science CenterHarvard CMSA hosted the second annual Yip Lecture on April 4, 2022. The Yip Lecture takes place thanks to the support of Dr. Shing-Yiu Yip. This year’s speaker was Avi Loeb (Harvard). Extraterrestrial Life Abstract: Are we alone? It would be arrogant to think that we are, given that a quarter of all stars host a habitable Earth-size planet. Upcoming searches will aim to detect markers of life in the atmospheres of planets outside the Solar System. We also have unprecedented technologies to detect signs of intelligent civilizations through industrial pollution of planetary atmospheres, space archaeology of debris from dead civilizations or artifacts such as photovoltaic cells that are used to re-distribute light and heat on the… |
|
Speaker:Title: General Relativity ConferenceVenue: VirtualGeneral Relativity Conference This conference will be held virtually on Zoom. Registration is required. Webinar Registration A few talks will be held in hybrid formats, with talks given from the CMSA seminar room, G-10. Advanced registration for in-person components is required. In-Person Registration Schedule | April 4–8, 2022 Schedule (PDF) Monday, April 4, 2022 Time (ET) Speaker Title/Abstract 9:30 am–10:30 am Pieter Blue, University of Edinburgh, UK (virtual) Title: Linear stability of the Kerr spacetime in the outgoing radiation gauge Abstract: This talk will discuss a new gauge condition (i.e. coordinate condition) for the Einstein equation, the linearisation of the Einstein equation in this gauge, and the decay of solutions to the linearised Einstein equation around Kerr black holes… |
|
Speaker:Title: Math-Science Literature Lecture SeriesVenue: VirtualMathematics & Literature Lecture Series Beginning in Spring 2020, the CMSA will be hosting a lecture series on literature in the mathematical sciences, with a focus on significant developments in mathematics that have influenced the discipline, and the lifetime accomplishments of significant scholars. Talks will take place throughout the semester. All talks will take place virtually. You must register to attend. Recordings will be posted to this page. Written articles will accompany each lecture in this series and be available as part of the publication “The Literature and History of Mathematical Science“ |
|
Speaker: Karen UhlenbeckTitle: CMSA Math-Science Literature Lecture – Karen UhlenbeckVenue: virtualKaren Uhlenbeck (Institute for Advanced Study) Title: The Noether Theorems in Geometry: Then and Now Abstract: The 1918 Noether theorems were a product of the general search for energy and momentum conservation in Einstein’s newly formulated theory of general relativity. Although widely referred to as the connection between symmetry and conservation laws, the theorems themselves are often not understood properly and hence have not been as widely used as they might be. In the first part of the talk, I outline a brief history of the theorems, explain a bit of the language, translate the first theorem into coordinate invariant language and give a few examples. I will mention only briefly their importance in physics and integrable systems…. |
|
Speaker: Michael FreedmanTitle: Math Science Lectures in Honor of Raoul Bott: Michael FreedmanVenue: virtualOn October 4th and October 5th, 2021, Harvard CMSA hosted the annual Math Science Lectures in Honor of Raoul Bott. This year’s speaker was Michael Freedman (Microsoft). The lectures took place on Zoom. This will be the third annual lecture series held in honor of Raoul Bott. Lecture 1 October 4th, 11:00am (Boston time) Title: The Universe from a single Particle Abstract: I will explore a toy model for our universe in which spontaneous symmetry breaking – acting on the level of operators (not states) – can produce the interacting physics we see about us from the simpler, single particle, quantum mechanics we study as undergraduates. Based on joint work with Modj Shokrian Zini, see arXiv:2011.05917 and arXiv:2108.12709. Video Lecture 2 October 5th, 11:00am (Boston… |
|
Speaker: Andrew Blumberg (UT Austin), Moran Koren (Harvard CMSA), Hima Lakkaraju (Harvard), Katrina Ligett (Hebrew University of Jerusalem)Title: Big Data Conference 2021Venue: virtualOn August 24, 2021, the CMSA hosted our seventh annual Conference on Big Data. The Conference features many speakers from the Harvard community as well as scholars from across the globe, with talks focusing on computer science, statistics, math and physics, and economics. The 2021 Big Data Conference took place virtually on Zoom. Organizers: Shing-Tung Yau, William Caspar Graustein Professor of Mathematics, Harvard University Scott Duke Kominers, MBA Class of 1960 Associate Professor, Harvard Business Horng-Tzer Yau, Professor of Mathematics, Harvard University Sergiy Verstyuk, CMSA, Harvard University Speakers: Andrew Blumberg, University of Texas at Austin Moran Koren, Harvard CMSA Hima Lakkaraju, Harvard University Katrina Ligett, The Hebrew University of Jerusalem Time (ET; Boston time) Speaker Title/Abstract 9:00AM Conference Organizers… |
|
Speaker: Sergiu KlainermanTitle: CMSA Math-Science Literature Lecture: Nonlinear stability of Kerr black holes for small angular momentumVenue: virtualSergiu Klainerman (Princeton University) Title: Nonlinear stability of Kerr black holes for small angular momentum Abstract: According to a well-known conjecture, initial data sets, for the Einstein vacuum equations, sufficiently close to a Kerr solution with parameters $a, m$, $|a|/m <1$, have maximal developments with complete future null infinity and with domain of outer communication (i.e complement of a future event horizon) which approaches (globally) a nearby Kerr solution. I will describe the main ideas in my recent joint work with Jeremie Szeftel concerning the resolution of the conjecture for small angular momentum, i.e. $, $|a|/m $ sufficiently small. The work, ArXiv:2104.11857v1, also depends on forthcoming work on solutions of nonlinear wave equations in realistic perturbations of Kerr, with Szeftel and Elena Giorgi, which I will also… |