Dan Freed (The University of Texas at Austin) Title: The Atiyah-Singer Index Theorem Abstract: The story of the index theorem ties together the Gang of Four—Atiyah, Bott, Hirzebruch, and Singer—and lies at the intersection of analysis, geometry, and topology. In the first part of the talk I will recount high points in the early developments. Then I […]
Amit Sahai (UCLA) Title: Indistinguishability Obfuscation: How to Hide Secrets within Software Abstract: At least since the initial public proposal of public-key cryptography based on computational hardness conjectures (Diffie and Hellman, 1976), cryptographers have contemplated the possibility of a “one-way compiler” that translates computer programs into “incomprehensible” but equivalent forms. And yet, the search for such a “one-way […]
Frances Kirwan (University of Oxford) Title: Moment maps and the Yang-Mills functional Abstract: In the early 1980s Michael Atiyah and Raoul Bott wrote two influential papers, ‘The Yang-Mills equations over Riemann surfaces’ and ‘The moment map and equivariant cohomology’, bringing together ideas ranging from algebraic and symplectic geometry through algebraic topology to mathematical physics and number theory. […]
Sergiu 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 […]
Karen 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 […]
Eric 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
Eric 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
Eric 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 […]
https://youtu.be/eqCez92m9XE CMSA/Tsinghua Math-Science Literature Lecture Prof. Hugh Woodin will present a lecture in the CMSA/Tsinghua Math-Science Literature Lecture Series. Date: Wednesday, November 9, 2022 Time: 9:30 - 11:00 am ET Location: Via Zoom Webinar and Room G10, CMSA, 20 Garden Street, Cambridge MA 02138 Directions and Recommended Lodging Registration is required. Register here to attend […]
https://youtu.be/y6Gc0G_2Mf0 CMSA/Tsinghua Math-Science Literature Lecture Prof. Scott Kominers will present a lecture in the CMSA/Tsinghua Math-Science Literature Lecture Series. Date: Monday, November 20, 2023 Time: 9:00 - 10:30 am ET Location: Via Zoom Webinar Title: 60 Years of Matching: From Gale and Shapley to Trading Networks Abstract: Gale and Shapley's 1962 American Mathematical Monthly paper, "College Admissions and the […]
https://youtu.be/yPOy4OoXJX0 CMSA/Tsinghua Math-Science Literature Lecture Prof. Amie Wilkinson will present a lecture in the CMSA/Tsinghua Math-Science Literature Lecture Series. Date: Wednesday, February 7, 2024 Time: 9:00–10:30 am ET Location: Via Zoom Webinar Registration is required. Register here to attend virtually: Zoom Webinar Registration Title: Stretching and shrinking: 85 years of the Hopf argument for ergodicity Abstract: […]
https://youtu.be/3Opuy9l5S_U CMSA/Tsinghua Math-Science Literature Lecture Prof. Cameron Gordon will present a lecture in the CMSA/Tsinghua Math-Science Literature Lecture Series. Date: Wednesday, March 20, 2024 Time: 9:00–10:30 am ET Location: Room G10, CMSA, 20 Garden Street, Cambridge MA and via Zoom Webinar Directions to CMSA Registration is required. Register here to attend in person: In-Person Registration […]