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

  • Lecture I: Multiple Zeta Values and Mixed Tate Motives over ℤ
    Tuesday, November 13, 4 p.m., Abelson 131
    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: Motivic Г-functions
    Wednesday, November 14, 4 p.m., Brown 316
    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: Relative Completions
    Thursday, November 15, 4 p.m., Goldsmith 317
    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

  • 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

  • Lecture I: Algebraic curves and differential equations

  • Lecture II: Generalizing hyperbolic surfaces

  • Lecture III: Higgs bundles and mirror symmetry

2015-2016

  • Lecture 1: A physicist under the spell of Ramanujan and moonshine

  • Lecture 2: Mock modular forms in mathematics and physics

  • Lecture 3: Umbral Moonshine

2014-2015

  • Lecture 1: The topology of random real hypersurfaces and percolation

  • Lecture 2: Nodal domains for Maass (modular) forms

  • Lecture 3: Families of zeta functions: their symmetries and applications

2014

  • 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

  • Science Blog article

2012

  • Lectures: Integrable Systems, Operator Determinants and Probabilistic Models

2011

  • Lecture I: Models and Behavior of the Internet, the World Wide Web

  • Lecture II: Convergent Sequences of Networks

2010

  • Lecture I: Differential K-theory and Dirac operators

  • Lecture II: Twisted K-theory and loop groups

  • Lecture III: Dirac charge quantization in string theory

2009

  • 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

  • Lecture: The Algebra of Random Surfaces

2007

  • 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