Progress on zeta and L-functions motivated by the Riemann hypothesis
I will discuss some of the developments over the last twenty five years in the analytic theory of L-functions, motivated by RH.
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Speaker: Kannan Soundararajan (Stanford)
Home — 2025
I will discuss some of the developments over the last twenty five years in the analytic theory of L-functions, motivated by RH.
Speaker: Kannan Soundararajan (Stanford)
Home — 2025
William Hodge made his famous conjecture in 1950. It predicted a sharp connection between geometry and analysis. Arguably, the evidence is very limited. But the conjecture has repeatedly led to new ideas and developments, including some spectacular recent advances.
Speaker: Burt Totaro (UCLA)
Home — 2025
In a remarkable achievement, Perelman used Ricci flow to prove Thurston’s Geometrization Conjecture, a central conjecture in 3-manifold topology which includes the Poincare Conjecture as a special case. This breakthrough inspired twenty years of rapid progress in many directions, leading to the resolution of long-standing conjectures in geometry and topology, and opening new vistas in geometric analysis. Beginning with a recap of Perelman’s work, the lecture will survey these developments, and conclude with a discussion of some central open questions.
Speaker: Bruce Kleiner (NYU)
Home — 2025
Our understanding of 3-manifolds has advanced considerably since Perelman’s proof of Thurston’s Geometrization Conjecture, with many original approaches to the conjecture becoming new exciting theorems in their own right. In the hyperbolic setting, however, determining precisely how a topological description of a 3-manifold determines its geometry has remained a central challenge. I’ll review examples and describe some progress toward elucidating geometric information.
Speaker: Jeff Brock (Yale)
Home — 2025
I will review the history and meaning of the P vs NP problem. I will then discuss how much we know, and how little we know, after studying it intensively for the last 50 years.
Speaker: Avi Wigderson (IAS)
Home — 2025
We will give an introduction to the probabilistic formulation of the Yang-Mills problem and discuss some of the reasons why it is so hard. We will then discuss some of the progress made in this direction over the past five years or so and some hurdles that still need to be overcome.
Speaker: Martin Hairer (EPFL and Imperial)
Home — 2025
This talk will recall the Birch—Swinnerton-Dyer Conjecture and describe highlights of the progress towards it, both pre- and post-millennium.
Speaker: Chris Skinner (Princeton)
Home — 2025
We will discuss advances and continuing challenges in the mathematical analysis of the Navier–Stokes equations and related problem.
Speaker: Vladimir Šverak (Minnesota)
Home — 2025
Congratulations to Edwina Yeo (University College London), winner of The Parliamentary & Scientific Committee’s STEM for Britain Gold Medal, sponsored by CMI, for her poster Preventing bacterial surface contamination via mathematical modelling.
Home — 2025
Marie-France Vignéras’s Clay Lecture presented at the Arizona Winter School, March 12, 2025
https://arizona.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=46a64805-410b-4ec0-9381-b28e0126b431
Speaker: Marie-France Vignéras (Jussieu)
Home — 2025
Marie-France Vignéras’s Clay Lecture presented at the Arizona Winter School, March 8, 2025
https://arizona.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=435cfd5a-e13d-4a98-9716-b28e01268f1b
Speaker: Marie-France Vignéras (Jussieu)
Home — 2025
Oxford’s History of Science Museum holds important material associated with Charles Babbage, including components of Babbage’s first (unfinished) mechanical computing machine and an archive of his personal notes about his machines. With support from CMI, the Museum undertook a project to conserve and digitise this precious archive of Babbage material.
Image courtesy of the History of Science Museum