Memorial Conference for the founders of index theory: Atiyah, Bott, Hirzebruch, and Singer
In 2021, the CMSA hosted a lecture series on the literature of the mathematical sciences. This series highlights significant accomplishments in the intersection between mathematics... |
 CMSA Math-Science Literature Lecture: Indistinguishability Obfuscation: How to Hide Secrets within Software
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... |
 CMSA Math-Science Literature Lecture: The Atiyah-Singer Index Theorem
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,... |
 CMSA Math-Science Literature Lecture: Deep Networks from First Principles
[caption id="attachment_9307" align="alignnone" width="200"] Yi MaPhoto Copyright Noah Berger / 2019[/caption] Yi Ma (University of California, Berkeley) Title: Deep Networks from First Principles Abstract: In this... |
 CMSA Math-Science Literature Lecture: Quantum error correcting codes and fault tolerance
Peter Shor (MIT) Title: Quantum error correcting codes and fault tolerance Abstract: We will go over the fundamentals of quantum error correction and fault tolerance and survey... |
 CMSA Math-Science Literature Lecture: Isadore Singer’s Work on Analytic Torsion
Edward Witten (IAS) Title: Isadore Singer’s Work on Analytic Torsion Abstract: I will review two famous papers of Ray and Singer on analytic torsion written approximately half... |
 CMSA Math-Science Literature Lecture: Discrepancy Theory and Randomized Controlled Trials
Dan Spielman (Yale University) Title: Discrepancy Theory and Randomized Controlled Trials Abstract: Discrepancy theory tells us that it is possible to partition vectors into sets... |
 CMSA Math-Science Literature Lecture: Is relativity compatible with quantum theory?
Arthur Jaffe (Harvard University) Title: Is relativity compatible with quantum theory? Abstract: We review the background, mathematical progress, and open questions in the effort to determine... |
 CMSA Math-Science Literature Lecture: Theorems of Torelli type
Eduard Jacob Neven Looijenga (Tsinghua University & Utrecht University) Title: Theorems of Torelli type Abstract: Given a closed manifold of even dimension 2n, then Hodge showed around... |
 CMSA Math-Science Literature Lecture: Subfactors–in Memory of Vaughan Jones
Zhengwei Liu (Tsinghua University) Title: Subfactors–in Memory of Vaughan Jones Abstract: Jones initiated modern subfactor theory in the early 1980s and investigated this area for his... |
 CMSA Math-Science Literature Lecture: Noncommutative Geometry, the Spectral Aspect
Alain Connes (Collège de France) Title: Noncommutative Geometry, the Spectral Aspect Abstract: This talk will be a survey of the spectral side of noncommutative geometry, presenting... |
 CMSA Math-Science Literature Lecture: Homotopy spectra and Diophantine equations
Yuri Manin (Max Planck Institute for Mathematics) Title: Homotopy spectra and Diophantine equations Abstract: For a long stretch of time in the history of mathematics, Number... |
 CMSA Math-Science Literature Lecture: Log Calabi-Yau fibrations
Caucher Birkar (University of Cambridge) Title: Log Calabi-Yau fibrations Abstract: Fano and Calabi-Yau varieties play a fundamental role in algebraic geometry, differential geometry, arithmetic geometry, mathematical... |
 CMSA Math-Science Literature Lecture: Classical and quantum integrable systems in enumerative geometry
Andrei Okounkov (Columbia University) Title: Classical and quantum integrable systems in enumerative geometry Abstract: For more than a quarter of a century, thanks to the ideas... |
 CMSA Math-Science Literature Lecture: Knot Invariants From Gauge Theory in Three, Four, and Five Dimensions
Edward Witten (IAS) Title: Knot Invariants From Gauge Theory in Three, Four, and Five Dimensions Abstract: I will explain connections between a sequence of theories in two, three,... |
 CMSA Math-Science Literature Lecture: Kunihiko Kodaira and complex manifolds
Yujiro Kawamata (University of Tokyo) Title: Kunihiko Kodaira and complex manifolds Abstract: Kodaira’s motivation was to generalize the theory of Riemann surfaces in Weyl’s book to... |
 CMSA Math-Science Literature Lecture: Birational geometry
Vyacheslav V. Shokurov (Johns Hopkins University) Title: Birational geometry Abstract: About main achievements in birational geometry during the last fifty years. Talk chair: Caucher Birkar Video |
 CMSA Math-Science Literature Lecture: Immersions of manifolds and homotopy theory
Ralph Cohen (Stanford University) Title: Immersions of manifolds and homotopy theory Abstract: The interface between the study of the topology of differentiable manifolds and algebraic topology has... |
 CMSA Math-Science Literature Lecture: A personal story of the 4D Poincare conjecture
Michael Freedman (Microsoft – Station Q) Title: A personal story of the 4D Poincare conjecture Abstract: The proof of PC4 involved the convergence of several historical... |
 CMSA Math-Science Literature Lecture: From Deep Learning to Deep Understanding
Harry Shum (Tsinghua University) Title: From Deep Learning to Deep Understanding Abstract: In this talk I will discuss a couple of research directions for robust AI beyond deep... |
 CMSA Math-Science Literature Lecture: Area-minimizing integral currents and their regularity
Camillo De Lellis (IAS) Title: Area-minimizing integral currents and their regularity Abstract: Caccioppoli sets and integral currents (their generalization in higher codimension) were introduced in the late... |
 Existence of Canonical Metrics on Non-Kähler Geometry
https://www.youtube.com/watch?v=PPgLS5ehdV0 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.... |