The Geometry of Machine Learning Dates: September 15–18, 2025 Location: Harvard CMSA, Room G10, 20 Garden Street, Cambridge MA 02138 Despite the extraordinary progress in large language models, mathematicians suspect that other dimensions of intelligence must be defined and simulated to complete the picture. Geometric and symbolic reasoning are among these. In fact, there seems […]
Geometry of Machine Learning Special Lecture: Yann LeCun Title: Self-Supervised Learning, JEPA, World Models, and the future of AI Date: Tuesday, Sep. 16, 2025 Time: 5:00 pm ET Location: Harvard Science Center, Hall C & via Zoom Webinar
https://youtu.be/60X5M1FhmUc Millennium Prize Problems Lecture Date: September 17, 2025 Location: Harvard Science Center Hall D & via Zoom Webinar Time: 5:00–6:00 pm Speaker: Michael Freedman, Harvard CMSA and Logical Intelligence Title: The Poincaré Conjecture and Mathematical Discovery Abstract: The AI age requires us to re-examine what mathematics is about. The Seven Millenium Problems provide an […]
Mathematical foundations of AI Date: October 6–10, 2025 Location: Harvard CMSA, Room G10, 20 Garden Street, Cambridge MA & via Zoom Artificial intelligence (AI) has achieved unprecedented advances, yet our theoretical understanding lags significantly behind. This gap poses a significant obstacle to improving AI’s safety and reliability. Since the classical tools of learning theory have proven […]
https://youtu.be/qVoEUFvDqWk Millennium Prize Problems Lecture Date: October 15, 2025 Time: 5:00–6:00 pm Location: Harvard Science Center Hall D, 1 Oxford St., Cambridge MA Speaker: Sourav Chatterjee, Stanford University Title: Yang-Mills and the foundations of quantum field theory Abstract: Yang-Mills theories are the building blocks of the Standard Model of quantum mechanics, which is the best […]
Two talks on Function-theoretic implications of geometric Langlands Dates: October 20 & 21, 2025 Time: 4:30–5:30 pm Location: Science Center Lecture Hall A and via Webinar Speaker: Dennis Gaitsgory, Max Planck Institute for Mathematics Abstract: The recently established geometric Langlands equivalence implies an explicit description of the space of (unramified) automorphic functions in terms […]
Two talks on Function-theoretic implications of geometric Langlands Dates: October 20 & 21, 2025 Time: 4:30–5:30 pm Location: Science Center Lecture Hall A and via Webinar Speaker: Dennis Gaitsgory, Max Planck Institute for Mathematics Abstract: The recently established geometric Langlands equivalence implies an explicit description of the space of (unramified) automorphic functions in terms of […]
Geometry Meets Physics: Finiteness, Tameness, and Complexity Dates: November 12–14, 2025 Location: CMSA G10, 20 Garden Street, Cambridge MA 02138 (note: this event is in-person only) Finiteness is a fundamental property in consistent physical theories. From the earliest days of quantum field theory and string theory, the drive to eliminate unphysical infinities has been a […]
https://youtu.be/d23FICTAC1Y Date: November 12, 2025 Time: 5:00–6:00 pm Location: Harvard Science Center Hall D, 1 Oxford St., Cambridge MA Speaker: Pierre Deligne, Institute for Advanced Study Title: What is the Hodge conjecture? Abstract: The Hodge conjecture is about projective non-singular complex algebraic varieties. It characterizes the cohomology classes coming from algebraic cycles. I will […]
Conference on Geometry and Statistics Dates: November 17–19, 2025 Location: CMSA G10, 20 Garden Street, Cambridge MA & via Zoom Speakers Charles Fefferman, Princeton University Stephan Huckemann, Georg-August Universität Göttingen Sungkyu Jung, Seoul National University Kei Kobayashi, Keio University Clément Levrard, Université de Rennes Ker-Chau Li, University of California, Los Angeles Rong Ma, Harvard […]
https://youtu.be/yeFaGFehc44 Pamphlet (pdf) Slides (pdf) Date: December 3, 2025 Time: 5:00–6:00 pm Location: Harvard Science Center Hall D, 1 Oxford St., Cambridge MA Speaker: Madhu Sudan, Harvard University Title: The P vs. NP problem: An Existential Question for Mathematics At the beginning of the twentieth century, in response to questions raised by Hilbert, illustrious mathematicians […]
https://youtu.be/14-9iCoclFE Date: February 4, 2026 Time: 5:00–6:00 pm Location: Harvard Science Center Hall C, 1 Oxford St., Cambridge MA Speaker: Barry Mazur, Harvard University Title: About the Birch and Swinnerton–Dyer Conjecture Abstract: In the 1950s Bryan Birch and Peter Swinnerton–Dyer made computations that suggested a striking connection between a basic global invariant of an elliptic […]