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Lecture Series

The 2015-16 Jacqueline B. Lewis Memorial Lecturer is Nolan Wallach
of University of California, San Diego
25th Jacqueline B. Lewis Memorial Lectures
Open to the Public – Use Lots 60A or 64 behind Hill Center
For a Parking Permit, call 848-445-6991
Applicable Geometric Invariant Theory
Tuesday, October 13   |   Wednesday, October 14   |   Friday, October 16
Lecture 1 :
Basic Geometric Invariant Theory I
Tuesday, October 13, 2015
Time/Location :    3:00pm – 4:00pm    Hill Center 705
Note :  There will be a light reception held in Hill Center 703 at 1:30pm.
Lecture 2 :
Basic Geometric Invariant Theory II
Wednesday, October 14, 2015
Time/Location :    12:00pm – 1:00pm    Hill Center 705
Abstract :
The above two lectures will begin wtih a short introduction to invariant theory contrasting the classical invariant theory of Schur and Weyl with the geometric invariant theory (GIT) of Hilbert and Mumford. After this preamble the basic theorems of GIT that have been or perhaps will be applied to theoretical physics will be explained and discussed.
Lecture 3 :
Some Applications of Geometric Invariant Theory
Friday, October 16, 2015
Time/Location :    12:00pm – 1:00pm    Hill Center 705
Abstract :
The lecture will begin with an introduction to the notion of quantum entanglement that is aimed at mathematicians. The rest of the lecture will be devoted to specific examples of applications of GIT that have appeared in the physics literature over the past ten years. Time permitting, open problems will be discussed.
Professor Jacqueline B. Lewis was a mathematician and former Dean of Rutgers' University College in New Brunswick who died in 1982 after a career spanning nearly 20 years at Rutgers. She served as an Associate Dean of University College from 1974 to 1978 and as Vice Dean of the school from 1978 to 1981, when she was appointed Dean. She also served as Acting Dean of the Faculty of Professional Studies from June 1981 to September 1982. The lectures were endowed in 1983 by a gift from Dean Lewis' aunt, Lillian Nassau.
Previous Lewis Lectures
Yum-Tong Siu December 2013 The Complex Neumann Problem and Multiplier Ideal Sheaves
Methods of Partial Differential Equations in Complex Algebraic Geometry
Analytic Methods of Constructing Bundle Sections and their Geometric Applications
Jennifer Tour Chayes November 2010 The Mathematics of Dynamic Random Networks
Andrei Zelevinsky April 2010* Introduction to Cluster Algebras
Cluster Algebras of Finite Type and their Geometric Realizations
Quivers with Potentials and Generalized Reflection Functors
* – Postponed from 2009
Terence Tao March 2008 Szemerédi's Regularity Lemma Revisited
Three Lectures on Discrete Random Matrices:
  Singularity and Determinant of Discrete Random Matrices
  The Least Singular Value of Discrete Random Matrices
  Eigenvalue Distributions of Discrete Random Matrices
Andrei Okounkov April 2007 Moduli of Curves and Combinatorics
Shmuel Weinberger October 2004 Themes in Quantitative Topology:
  Problems and naive examples
  Computation, entropy, and variational problems
  Embeddings, symmetry, and rigidity
Jean-Michel Coron October 2003 Controllability and nonlinearity for some flow control systems
Richard P. Stanley October 2002 Six Recent Developments in Algebraic Combinatorics:
  The Laurent phenomenon; longest increasing subsequences
  The Saturation Conjecture; the n! Conjecture
  Gromov-Witten invariants; graphical degree sequences
Graeme Segal April 2001 The Mathematical Structure of Quantum Field Theory;
Quantum Field Theory and K-Theory;
Quantum Field Theory and Representation Theory
Yves Meyer March 2000 Wavelets and Image Processing: Theory and Application to Denoising
  Hubble Space Telescope Images;
Oscillations, Vibrations, Time-Frequency Analysis and the Virgo Program
  (Detection of Gravitati onal Waves);
The Role of Oscillations in Some Non-Linear Evolution Equations:
  Application to Navier-Stokes Equations
Don Zagier March 1997 Modular Forms and Differential Operators
Alain Connes April 1996 Gravity Coupled with Matter and the Foundation of Noncommutative Geometry
Karen Uhlenbeck September 1994 Moduli Spaces of Solutions to PDE
V. I. Arnold November 1993 On Some Problems in Singularity Theory
Ian Macdonald March 1993 Symmetric Functions and Orthogonal Polynomial
L. Craig Evans March 1992 Compactness for Solutions of Nonlinear Partial Differential Equations
Jurgen Moser March 1991 Stability in Dynamics and Minimal Solutions in the Calculus of Variations
Yasha G. Sinai April 1990 Random Behavior of Eigenvalues of Laplacians
Paul Rabinowitz April 1989 Periodic Solutions of Hamiltonian Systems
H. Blaine Lawson April 1988 Algebraic Cycles
David Kazhdan March 1987 Representations of Reductive P-Adic Groups
Lipman Bers October 1985 Teichmüller Theory for Beginners
G. D. Mostow March 1985 Braids, Hypergeometric Functions, and Lattices
Stephen Smale March 1984 The Topology of Classical Algorithms
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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530