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.


Spencer Bloch (University of Chicago)

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, time and location TBA
"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, time and location TBA
"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.


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


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


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


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


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


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


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


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


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


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


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