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Math Science Lectures in Honor of Raoul Bott

Harvard CMSA via YouTube

Overview

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Explore advanced mathematical concepts through this comprehensive lecture series featuring distinguished mathematicians presenting cutting-edge research in honor of Raoul Bott. Delve into diverse topics including integrability theory, knot categorification, and geometric analysis through presentations by leading experts in their fields. Learn about fibered ribbon knots and their connections to major 4-dimensional conjectures through Maggie Miller's detailed exposition. Examine abelianization techniques in both ordinary differential equation analysis and quantum topology with Andrew Neitzke's mathematical insights. Discover the intricate relationships between geometric and classical Langlands programs, along with analytic properties of automorphic functions from an algebraic geometry perspective, as presented by Dennis Gaitsgory. Study scattering amplitudes and modern approaches to quantum field theory through Freddie Cachazo's mathematical physics lectures. Gain exposure to contemporary research methodologies and theoretical frameworks that bridge multiple areas of mathematics including topology, algebraic geometry, representation theory, and mathematical physics, all presented at the graduate and research level by Harvard's Center of Mathematical Sciences and Applications.

Syllabus

Math Science Lectures in Honor of Raoul Bott, Lecture 1, 10/4/21
Math Science Lectures in Honor of Raoul Bott, Lecture 2, 10/5/21
2019 Bott Lecture Part I: “Lesson on Integrability”
2019 Bott Lecture Part II: “Lesson on Knot Categorification”
Freddie Cachazo Math-Science Lecture 1
Freddie Cachazo Math-Science Lecture 2
Maggie Miller | Fibered ribbon knots vs. major 4D conjectures 2
Maggie Miller | Fibered ribbon knots vs. major 4D conjectures 1
Andrew Neitzke | Abelianization in analysis of ODEs
Andrew Neitzke | Abelianization in quantum topology
Dennis Gaitsgory | From geometric to classical Langlands
Dennis Gaitsgory | Analytic properties of automorphic functions as seen from algebraic geometry

Taught by

Harvard CMSA

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