Millennium Prize Problems Lecture – Barry Mazur: About the Birch and Swinnerton–Dyer Conjecture
Date: 2-4-2026 Barry Mazur
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...
Madhu Sudan | The P vs. NP problem: An Existential Question for Mathematics
Date: 12-3-2025 Madhu Sudan
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...
Millennium Prize Problems Lecture – Pierre Deligne: What is the Hodge conjecture?
Date: 11-12-2025 Pierre Deligne
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.
Analytic properties of automorphic functions as seen from algebraic geometry
Date: 10-21-2025 Dennis Gaitsgory
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
From geometric to classical Langlands
Date: 10-21-2025 Dennis Gaitsgory
From geometric to classical Langlands
Math Science Lectures in Honor of Raoul Bott | Dennis Gaitsgory, MPIM | Function-theoretic implications of geometric Langlands Lecture 1: Monday, October 20, 2025 From geometric to classical Langlands
Millennium Prize Problems Lecture | Sourav Chatterjee, Stanford University | Yang-Mills and the foundations of quantum field theory
Date: 10-15-2025 Sourav Chatterjee
Millennium Prize Problems Lecture | Sourav Chatterjee, Stanford University | Yang-Mills and the foundations of quantum field theory
Millennium Prize Problems Lecture 10/15/2025 Sourav Chatterjee, Stanford University Yang-Mills and the foundations of quantum field theory