Date: 3-11-2026
Millennium Prize Problems Lecture – Javier Gómez-Serrano | Navier-Stokes Existence or Breakdown
Millennium Prize Problems Lecture – Javier Gómez-Serrano: Navier-Stokes Existence or Breakdown 3/11/2026 Speaker: Javier Gómez-Serrano, Brown University Title: Navier-Stokes Existence or Breakdown Abstract: The Navier-Stokes equations have been the cornerstone of fluid dynamics for over a century, accurately describing the motion of viscous fluids such as water and air. However, despite their fundamental importance to mathematics and physics, a profound question remains unanswered: do solutions...
Date: 3-10-2026
CMSA/Tsinghua Math-Science Literature Lecture – Martin Bridson | Profinite rigidity: Chasing finite shadows of infinite groups
CMSA/Tsinghua Math-Science Literature Lecture 3/10/2026 Speaker: Martin Bridson FRS is the Whitehead Professor of Pure Mathematics at Oxford and President of the Clay Mathematics Institute. Title: Profinite rigidity: Chasing finite shadows of infinite groups Abstract: There are many situations in geometry or elsewhere in mathematics where it is natural or convenient to explore infinite groups of symmetries via their actions on finite objects. But how hard is it to find these finite manifestation...
Date: 2-4-2026
Millennium Prize Problems Lecture – Barry Mazur: About the Birch and Swinnerton–Dyer Conjecture
Millennium Prize Problems Lecture 2/4/2026 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 curve E over the field of rational numbers (namely, the rank of its group of rational points) and certain asymptotics of its local arithmetic invariants (i.e., the number of its rational points over...
Date: 12-3-2025
Millennium Prize Problems Lecture – Madhu Sudan | The P vs. NP problem: An Existential Question for Mathematics
Millennium Prize Problems Lecture 12/3/2025 Speaker: Madhu Sudan, Harvard University Title: The P vs. NP problem: An Existential Question for Mathematics Abstract: At the beginning of the twentieth century, in response to questions raised by Hilbert, illustrious mathematicians such as Godel, Church and Turing formalized the notion of theorems and proofs. Proofs were automatically verifiable while theorems are logical propositions for which proofs exist. The formal definition of a computer, a def...
Date: 11-12-2025
Millennium Prize Problems Lecture – Pierre Deligne: What is the Hodge conjecture?
Millennium Prize Problems Lecture 11/12/2025 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 explain these terms, tell why the conjecture is so hard to attack, and why we care.
Date: 10-21-2025
Analytic properties of automorphic functions as seen from algebraic geometry
Math Science Lectures in Honor of Raoul Bott | Dennis Gaitsgory, MPIM | Function-theoretic implications of geometric Langlands Lecture 2: Tuesday, October 21, 2025 Analytic properties of automorphic functions as seen from algebraic geometry