CMSA Math-Science Literature Lecture: Nonlinear stability of Kerr black holes for small angular momentum
Speaker: Sergiu Klainerman
  • Organizers - N/A
  • Date - June 15, 2021 - June 15, 2021
  • Venue - Virtual

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...

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FRG Workshop on Geometric Methods for Analyzing Discrete Shapes
  • Organizers - Shing-Tung Yau
  • Date - May 07, 2021 - May 09, 2021
  • Venue - Virtual

This workshop will take place May 7-9 (Friday-Sunday), 2021 virtually on Zoom The aim of the workshop is to bring together a community of researchers...

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Computational Biology Symposium
  • Organizers - Shing-Tung Yau
  • Date - May 03, 2021 - May 03, 2021
  • Venue - Virtual

On May 3, 2021 the CMSA will be hosting a Computational Biology Symposium virtually on Zoom. This symposium will be organized by Vijay Kuchroo. The symposium will begin at...

CMSA Math-Science Literature Lecture: Moment maps and the Yang-Mills functional
CMSA Math-Science Literature Lecture: Moment maps and the Yang-Mills functional
Speaker: Frances Kirwan
  • Organizers - N/A
  • Date - April 27, 2021 - April 27, 2021
  • Venue - Virtual

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...

CMSA Math-Science Literature Lecture: Indistinguishability Obfuscation: How to Hide Secrets within Software
Speaker: Amit Sahai
  • Organizers - N/A
  • Date - April 23, 2021 - April 23, 2021
  • Venue - Virtual

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
CMSA Math-Science Literature Lecture: The Atiyah-Singer Index Theorem
Speaker: Dan Freed
  • Organizers - N/A
  • Date - April 20, 2021 - April 20, 2021
  • Venue - Virtual

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
Speaker: Yi Ma
  • Organizers - N/A
  • Date - April 16, 2021 - April 16, 2021
  • Venue - Virtual

[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
CMSA Math-Science Literature Lecture: Quantum error correcting codes and fault tolerance
Speaker: Peter Shor
  • Organizers - N/A
  • Date - April 08, 2021 - April 08, 2021
  • Venue - Virtual

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...

Memorial Conference for the founders of index theory: Atiyah, Bott, Hirzebruch, and Singer
Memorial Conference for the founders of index theory: Atiyah, Bott, Hirzebruch, and Singer
  • Organizers - N/A
  • Date - April 06, 2021 - April 27, 2021
  • Venue - Virtual

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: Isadore Singer’s Work on Analytic Torsion
CMSA Math-Science Literature Lecture: Isadore Singer’s Work on Analytic Torsion
Speaker: Edward Witten
  • Organizers - N/A
  • Date - April 06, 2021 - April 06, 2021
  • Venue - Virtual

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: On the History of quantum cohomology and homological mirror symmetry
CMSA Math-Science Literature Lecture: On the History of quantum cohomology and homological mirror symmetry
Speaker: Maxim Kontsevich
  • Organizers - N/A
  • Date - March 30, 2021 - March 30, 2021
  • Venue - Virtual

Maxim Kontsevich  (IHÉS) Title: On the History of quantum cohomology and homological mirror symmetry Abstract: About 30 years ago, string theorists made remarkable discoveries of hidden structures...

CMSA Math-Science Literature Lecture: Homological (homotopical) algebra and moduli spaces in Topological Field theories
Speaker: Kenji Fukaya
  • Organizers - N/A
  • Date - February 23, 2021 - February 23, 2021
  • Venue - Virtual

Kenji Fukaya (Simons Center for Geometry and Physics) Title: Homological (homotopical) algebra and moduli spaces in Topological Field theories Abstract: Moduli spaces of various gauge...

CMSA Math-Science Literature Lecture: Discrepancy Theory and Randomized Controlled Trials
Speaker: Dan Spielman
  • Organizers - N/A
  • Date - January 27, 2021 - January 27, 2021
  • Venue - Virtual

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: Quantum topology and new types of modularity
CMSA Math-Science Literature Lecture: Quantum topology and new types of modularity
Speaker: Don Zagier
  • Organizers - N/A
  • Date - January 13, 2021 - January 13, 2021
  • Venue - Virtual

Don Zagier (Max Planck Institute for Mathematics and International Centre for Theoretical Physics) Title: Quantum topology and new types of modularity Abstract: The talk concerns...

CMSA Math-Science Literature Lecture: Michael Atiyah: Geometry and Physics
Speaker: Nigel Hitchin
  • Organizers - N/A
  • Date - December 04, 2020 - December 04, 2020
  • Venue - Virtual

Nigel Hitchin (University of Oxford) Title: Michael Atiyah: Geometry and Physics Abstract: In mid-career, as an internationally renowned mathematician, Michael Atiyah discovered that some problems in...

CMSA Math-Science Literature Lecture: Is relativity compatible with quantum theory?
Speaker: Arthur Jaffe
  • Organizers - N/A
  • Date - December 02, 2020 - December 02, 2020
  • Venue - Virtual

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
Speaker: Eduard Jacob Neven Looijenga
  • Organizers - N/A
  • Date - November 25, 2020 - November 25, 2020
  • Venue - Virtual

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: Noncommutative Geometry, the Spectral Aspect
Speaker: Alain Connes
  • Organizers - N/A
  • Date - November 23, 2020 - November 23, 2020
  • Venue - Virtual

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: Subfactors–in Memory of Vaughan Jones
Speaker: Zhengwei Liu
  • Organizers - N/A
  • Date - November 23, 2020 - November 23, 2020
  • Venue - Virtual

Zhengwei Liu (Tsinghua University) Title: Subfactors–in Memory of Vaughan Jones Abstract: Jones initiated modern subfactor theory in early 1980s and investigated this area for his whole...

CMSA Math-Science Literature Lecture: Homotopy spectra and Diophantine equations
Speaker: Yuri Manin
  • Organizers - N/A
  • Date - November 20, 2020 - November 20, 2020
  • Venue - Virtual

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
Speaker: Caucher Birkar
  • Organizers - N/A
  • Date - November 18, 2020 - November 18, 2020
  • Venue - Virtual

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
Speaker: Andrei Okounkov
  • Organizers - N/A
  • Date - November 16, 2020 - November 16, 2020
  • Venue - Virtual

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
CMSA Math-Science Literature Lecture: Knot Invariants From Gauge Theory in Three, Four, and Five Dimensions
Speaker: Edward Witten
  • Organizers - N/A
  • Date - November 13, 2020 - November 13, 2020
  • Venue - Virtual

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
Speaker: Yujiro Kawamata
  • Organizers - N/A
  • Date - October 05, 2020 - October 05, 2020
  • Venue - Virtual

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
Speaker: Vyacheslav V. Shokurov
  • Organizers - N/A
  • Date - October 02, 2020 - October 02, 2020
  • Venue - Virtual

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: Hodge structures and the topology of algebraic varieties
CMSA Math-Science Literature Lecture: Hodge structures and the topology of algebraic varieties
Speaker: Claire Voisin
  • Organizers - N/A
  • Date - September 30, 2020 - September 30, 2020
  • Venue - Virtual

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...

CMSA Math-Science Literature Lecture: Immersions of manifolds and homotopy theory
CMSA Math-Science Literature Lecture: Immersions of manifolds and homotopy theory
Speaker: Ralph Cohen
  • Organizers - N/A
  • Date - September 30, 2020 - September 30, 2020
  • Venue - Virtual

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: From Deep Learning to Deep Understanding
Speaker: Harry Shum
  • Organizers - N/A
  • Date - September 28, 2020 - September 28, 2020
  • Venue - Virtual

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: A personal story of the 4D Poincare conjecture
Speaker: Michael Freedman
  • Organizers - N/A
  • Date - September 28, 2020 - September 28, 2020
  • Venue - Virtual

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: Area-minimizing integral currents and their regularity
CMSA Math-Science Literature Lecture: Area-minimizing integral currents and their regularity
Speaker: Camillo De Lellis
  • Organizers - N/A
  • Date - September 25, 2020 - September 25, 2020
  • Venue - Virtual

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
Existence of Canonical Metrics on Non-Kähler Geometry
  • Organizers - N/A
  • Date - September 10, 2020 - September 10, 2020
  • Venue - Virtual

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.“ In...

2020 Big Data Conference (Virtual)
Speaker: Sanjeev Arora (Princeton), Juan Camilo Castillo (U Penn), Joseph Dexter (Dartmouth), Nicole Immorlica (Microsoft), Amin Saberi (Stanford), Vira Semenova (UC Berkeley), Varda Shalev (Tel Aviv University)
  • Organizers - Horng-Tzer Yau, Scott Duke Kominers, Shing-Tung Yau
  • Date - August 24, 2020 - August 25, 2020
  • Venue - Virtual

On August 24-25, 2020 the CMSA hosted our sixth annual Conference on Big Data. The Conference featured many speakers from the Harvard community as well as scholars...