Beginning in Spring 2020, the CMSA began 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.
Written articles accompany lectures in this series and will be available as part of the publication The Literature and History of Mathematical Science.
Volume 1: Literature and History of Mathematical Science is now in print and available.
Claire Voisin (Collège de France) Title: Hodge structures and the topology of algebraic varieties Abstract: We review the major progress made since the 50’s in our understanding of the topology of complex […]
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 been one of the richest […]
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
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 higher dimensions. After quickly recalling the […]
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, four, and five dimensions and […]
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 and questions originating in modern […]
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 physics, etc. The notion of […]
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 Theory and Topology formed vast, […]
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 the new paradigm of spectral […]
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 whole academic life. Subfactor theory […]
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 1950 that a kählerian complex […]
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 whether one can combine quantum […]