The 2015-16 Jacqueline B. Lewis Memorial Lecturer is Nolan Wallach

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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

For a Parking Permit, call 848-445-6991

Applicable Geometric Invariant Theory

Dates

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

Lecturer | Date | Title | |
---|---|---|---|

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 |