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Department Events


Eisenbud Lectures 2014. 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.

Invitation Letter

Poster--click to enlarge

2014 - 2015 Recipient and Lecturer: Peter Sarnak,  Institute for Advanced Study and Princeton University

Lectures:
Held December 2, 2014  -  December 4, 2014 at Brandeis University
Host: B. Lian

Theme: "Randomness in number theory and geometry."
Abstract : The behavior of many arithmetic and geometric objects, from the zeros of zeta functions to the topologies of random real algebraic varieties are apparently dictated by models from statistical physics. We will review some of these and highlight the basic conjectures and some of what is known towards them.

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Lecture 1: December 2, 2014   4:00pm
Title: "The topology of random real hypersurfaces and percolation."
Abstract : The topologies of the connected components of the zero sets of random real projective hypersurfaces of high degree follow a universal law of distribution. We explain this (and a more general phenomenon for random band limited functions), its source and some possible connections to percolation.

Lecture 1 Video
Lecture 1 slides

Lecture 2: December 3, 2014   4:00pm
Title: "Nodal domains for Maass (modular) forms."
Abstract : The eigenstates of the quantization of a classically chaotic hamiltonian are expected to behave like random monochromatic waves. We discuss this in the context of the eigenfunctions
on the modular surface-ie "Maass Forms ", and especially what can be proved about their nodal domains.

Lecture 2 Video
Lecture 2 slides


Lecture 3: December 4, 2014   4:00pm
Title: "Families of zeta functions, their symmetries and applications."
Abstract: The local statistical laws for the distribution of the zeros of the Riemann Zeta function and more generally of families of zeta functions, follow one of 4 of the 10 universal random matrix ensembles. We review some this phenomenon, especially in connection with applications.

Lecture 3 Video
Lecture 3 slides



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        PAST EISENBUD LECTURE SERIES


December 2 - December 4, 2014

Brandeis University
Peter Sarnak, Institute for Advanced Study and Princeton University
Theme: "Randomness in number theory and geometry"

Lecture 1: "The topology of random real hypersurfaces and percolation"
Lecture 1 video
Lecture 1 slides

Lecture 2: "Nodal domains for MAASS (modular) forms"
Lecture 2 video
Lecture 2 slides

Lecture3:"Families of Zeta functions, their symmetries and applications"
Lecture 3 video
Lecture 3 slides


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March 11, 2014

Brandeis University
Cumrun Vafa, Harvard University
Eisenbud Lecture Series in Mathematics and Physics
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

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                  PAST DEPT EVENTS



November 13, 2012


Brandeis University
Olivier Bernardi, Dept. of Mathematics, Brandeis University
New Directions Lecture Series
Title: "Random Lattices and random surfaces"



November 6, 2012

Brandeis University
Olivier Bernardi, Dept. of Mathematics, Brandeis University
New Directions Lecture Series
Title: "Bijections for planar maps"