Videos

Eisenbud Lectures in Mathematics and Physics

The Eisenbud Lectures are the result of a generous donation by Leonard and Ruth-Jean Eisenbud, intended for a yearly set of lectures by an eminent physicist or mathematician working close to the interface of the two subjects.

2018-2019

Spencer Bloch (Yau Mathematical Sciences Center, Tsinghua University)

Lecture I: Tuesday, November 13, 4:00pm, Abelson 131
"Multiple Zeta Values and Mixed Tate Motives over ℤ"
Abstract: Basic ideas and results in the subject. Nilpotent completion of π1(ℙ1- {0, 1, ∞}, ⃗0 multiple zeta values, F. Brown's theorem on mixed Tate motives over ℤ.

Lecture II: Wednesday, November 14, 4:00pm, Brown 316
"Motivic Г-functions"
Abstract: (Joint work with F. Brown and M. Vlasenko) Motivic Г functions are Mellin transforms of period functions. They interpolate Picard Fuchs recurrences, and, in interesting cases, their Taylor series expansions are generating series for monodromy variations.

Lecture III: Thursday, November 15, 4:00pm, Goldsmith 317
"Relative completions"
Abstract: (Joint with Brown and Vlasenko) The theory of relative completions (Hain) generalizes nilpotent completion. It is the right setting to study the iterated integrals arising in Lecture II.

2017-2018

James Sethna (Cornell University)

Lecture I: Sloppy Models, Differential Geometry, and How Science Works
Lecture II: Crackling Noise
Lecture III: Normal Form for Renormalization Groups: The Framework for the Logs

2016-2017

Nigel Hitchin (University of Oxford)

Lecture I: Algebraic curves and differential equations
Lecture II: Generalizing hyperbolic surfaces<strong
Lecture III: Higgs bundles and mirror symmetry

2015-2016

Jeffrey Harvey (University of Chicago)

Lecture 1: A physicist under the spell of Ramanujan and moonshine
Watch the video
Lecture 2: Mock modular forms in mathematics and physics
Watch the video
Lecture 3: Umbral Moonshine
Watch the video

2014-2015

Peter Sarnak (Institute for Advanced Study and Princeton University)

Lecture 1: The topology of random real hypersurfaces and percolation (videoPDF
Lecture 2: Nodal domains for Maass (modular) forms (video). PDF
Lecture 3: Families of zeta functions: their symmetries and applications (videoPDF
poster  Science Blog Article

2014

Cumrun Vafa (Harvard University)
Lecture 1: Strings and the Magic of Extra Dimensions
Lecture 2: Recent Progress in Topological Strings I
Lecture 3: Recent Progress in Topological Strings II
poster  Science Blog article

2012

Craig Tracy (Distinguished Professor of Mathematics, University of California at Davis)
Lectures: Integrable Systems, Operator Determinants and Probabilistic Models
poster  abstract

2011

Jennifer Chayes (Microsoft Research of New England)
Lecture I: Models and Behavior of the Internet, the World Wide Web
Lecture II: Convergent Sequences of Networks
poster abstract

2010

Daniel Freed (University of Texas at Austin)
Lecture I: Differential K-theory and Dirac operators
Lecture II: Twisted K-theory and loop groups
Lecture III: Dirac charge quantization in string theory
poster

2009

Leo Kadanoff (University of Chicago)
Lecture I: Making a Splash, Breaking a Neck: The Development of Complexity in Fluids
Lecture II: The Good the Bad and the Awful-- Scientific Simulation and Prediction
Lecture III: Eigenvalues and Eigenfunctions of Toeplitz Matrices

2008

Andrei Okounkov (Princeton University)
Lecture: The Algebra of Random Surfaces
poster

2007

Robbert Dijkgraaf (University of Amsterdam)
Lecture I: The Unreasonable Effectiveness of Physics in Modern Mathematics
Lecture II: The Quantum Geometry of Topological String Theory
Lecture III: Quantum Field Theory, D-Modules and Integrable Systems
abstract