Geometry/Mathematical Physics, 2005 - 2006

Monday, October 3, 2005, Atrium
Kishore Marathe, Brooklyn College

Geometry / Mathematical Physics Seminar for 2004 - 2005

Monday, March 28, 2005, 8th Period, Little 305
Detlev Buchholz, University of Gottingen
Algebraic Supersymmetry
Tuesday, January 11, 2005, 9th Period, Little 305
Maria Kutuzova
Higher-dimensional Generalizations of Affine Kac-Moody and Virasoro Lie Algebras
Tuesday, December 7 , 2004, 9th Period, Little 305
David Groisser
Differential Geometry and the Thin-Plate Spline (continued)
Tuesday, November 30, 2004, 9th Period, Little 305
David Groisser
Differential Geometry and the Thin-Plate Spline (continued)
Tuesday, November 23, 2004, 9th period, Little 305
David Groisser
Differential Geometry and the Thin-Plate Spline
Tuesday, November 16, 2004, 9th period, Little 305
Kalyan Sinha, Director of the Indian Statistical Institute, Kolkata, India
Geometry and Probability on some Non-commutative Manifolds"
Tuesday, October 26, 2004, 9th period, Little 305
Paul Ehrlich
A Personal Perspective on "Global Lorentzian Geometry"

Geometry/ Mathematical Physics Seminar for 2003 - 2004

Wednesday, April 20, 2004
Alexandru Scorpan
The wild world of 4-manifolds -- constructing the exotic |R⁴
Wednesday, April 14, 2004
Alexandru Scorpan
The wild world of 4-manifolds -- the intersection form and manifold topology (continued)
Wednesday, April 7, 2004
Alexandru Scorpan
The wild world of 4-manifolds -- the intersection form and homeomorphism
Wednesday, March 31, 2004
Alexandru Scorpan
The wild world of 4 manifolds -- the intersection form and topology of 4 manifolds
Friday, March 26, Astrophysics Seminar, NPB 2165, 9th Period
Gregory Galloway, Dept. of Mathematics, University of Miami
Cosmological Space-times of deSitter type
Wednesday, March 24
Alexandru Scorpan
The wild world of 4 manifolds -- the intersection form
Wednesday, March 17
Detlev Buchholz, Institute of Theoretical Physics, Gottingen
Modular theory and the construction of quantum fields
Wednesday, March 3
Alexandru Scorpan
A survey of four dimensional topology -- talk II
Wednesday, February 25
Alexandru Scorpan
The Wild World of 4-Manifolds -- the h-Cobordism Theorem
Wednesday, February 18, 8th period, NPB 1002
Frank Wilczek, Feshbach Professor of Physics, MIT
On the Origin of Mass and the Feebleness of Gravity
Friday, January 16, 2004, 4th Period
S.-T. Yau, Harvard University
Local mass in General Relativity
November 19, 2003, IFT Seminar Room
Leonid Glazman, McKnight Presidential Chair in Theoretical Condensed Matter Physics, University of Minnesota
Transport in a Luttinger Liquid
November 7, 2003
Andre Henriques, MIT
Noncommutative smooth structures on singular spaces
October 8, 2003
David Metzler
Dirac Structures
October 1, 2003, First IFT Fall Colloquim
Jean Bellissard, Georgia Institute of Technology and Institut Universitaire de France
Coherent and dissipative electronic transport in aperiodic media
October 2, 2003
Jean Bellisard
Entropy and Information : A Physicist's Point of View
October 3, 2003
Jean Bellisard
Tilings, Aperiodic Media and their Noncommutative Geometry
September 17, 2003
Alex Scorpan
Playing with spinors

Geometry/Mathematical Physics Seminar for 2002 - 2003

April 16, 2003, 9th period, IFT Colloquim, IFT Seminar Room
Charles Thorn, UF Physics, Large N Matrix Quantum Theory as a Two-dimensional Statistical System
April 15, 2003, in Little 368, 9th period
David Groisser, On the existence and local uniqueness of certain curve correspondences
March 5, 19, 26, 2003, in LITTLE 368, 9th period
IFT Distinguished Lectures
Huzihiro Araki, RIMS, Kyoto University, Japan, Equilibrium statistical mechanics of Fermion lattice systems
February 26, 2003, in IFT Seminar Room, New Physics, 9th period
Murali Rao, Another Approach to Information/ Uncertainty
Wednesday, February 5, 2003, in Little 368, 9th period
Norm Levin, Introduction to Mirror Symmetry
Tuesday, January 28, 2003, in the Atrium, at 9:25 am
Benjamin McKay, The Blaschke Conjecture
Wednesday, January 22, 2003 -- IFT Colloquim, in IFT Seminar Room, New Physics
A. J. Leggett, John D. and Catherine T. MacArthur Chair of Physics at the University of Illinois
Does quantum mechanics describe the everyday world ?
Friday, December 6, 2002, Little 125
Richard Crew, Equivariance of the Dirac Monopole and 2-Dimensional Characteristic Classes
Friday, November 23, 2002, Little 125
Richard Crew, Gerbes and the Dirac Monopole
Wednesday, November 20, 2002, IFT Seminar Room, IFT Colloquim
Pierre Ramond, Strings and the Mysteries of Particle Physics
Friday, November 8,2002, Little 125
Richard Crew, The Differential Geometry of Gerbes
Thursday, November 7, 2002, Little 237
Paul Baum, Penn State, Trees, Buildings, Symmetric Spaces, and K-Theory for Group C* Algebras
THURSDAY, October 31, 2002 in LITTLE 305, 9th period
Jens Mund, Gottingen, Algebraic Bisognano-Wichmann Theorem for Massive Theories
Wednesday, October 30, 2002, 9th period, in the IFT Seminar Room, New Physics Building, 2nd IFT Colloquim for the academic year
Alexandre Turull, Finite Symmetry
October 23, 2002, in Little 201, 9th period
Norm Levin, Deformations of Calabi-Yau varieties
October 16, 2002, in Little 201, 9th period
David Metzler, Gerbes, Bundle Gerbes, and Groupoids (continued)
October 2, 2002, in Little 201, 9th period
David Metzler, Gerbes, Bundle Gerbes, and Groupoids
September 25, 2002, IFT Seminar Room
Sergei Obukov, UF Physics
Rigidity Transitions in Physics and Knowledge Networks

Differential Geometry/ Mathematical Physics Seminar for 2001 - 2002

This academic year, we will primarily be meeting as participants in the Vertex Algebra Seminar, on Wednesdays, 9th period in Little 305 during the fall, and Little 368 during the spring.

Other speakers will be posted on this site if the occassion arises.

August 29, 2001
Richard Crew, Introduction to Vertex Algebras
September 12, 2001
Richard Crew, Introduction to Vertex Algebras (continued)
September 19, 2001
Norm Levin, The Formal Calculus
September 26, 2001
Norm Levin, The Formal Calculus (continued)
October 3, 2001, in the IFT Interdisciplinary Colloquim Series, New Physics 2165
Krishna Alladi, Partitions -- from Euler to the Modern Era
FRIDAY, October 5, 2001
Norm Levin, The Formal Calculus (concluded)
Wednesday, October 10, 2001
David Metzler, Quantum Field Theory and Vertex Algebras I
Wednesday, October 17, 2001
David Metzler, Quantum Field Theory and Vertex Algebras II
Wednesday, October 27, 2001
David Metzler, Quantum Field Theory and Vertex Algebras III
Wednesday, October 31, 2001
Maria Kutuzova, The Existence Theorem and Some Examples
Wednesday, November 7, 2001
Maria Kutuzova, The Bosonic - Fermionic Correspondence
Wednesday, November 13, 2001 in the IFT Interdisciplinary Colloquim
James Fry, UF Physics, What's Up Out There ?
Wednesday, November 13, 2001
Maria Kutuzova, Kac-Moody and Virasoro algebras
Wedneday, November 28, 2001
Richard Crew, Lattice Vertex Algebras
Wednesday, December 5, 2001
Richard Crew, Lattice Vertex Algebras --- the Cocycle
Wednesday, January 23, 2002, IFT Interdisciplinary Colloquim
Dmitri Maslow, Correlated Fermions in Superstrong Magnetic Fields
Wednesday, January 30th, 2002, LITTLE 368
Norman Levin, The Chiral de Rham Complex
Wednesday, February 6, 2002, Little 368
Norman Levin, The Chiral de Rham Complex, continued
Friday, February 8, 2002, 8th period, 4:05 pm
Ray Streater, King's College, London, The Fock space decomposition of a Levy process
Tuesday, February 12, 2002, 8th period, IFT NPB 2165
Ray Streater, Kings' College, London, Corrections to the Navier Stokes Equations
Wednesday, February 20, 2002
Norman Levin, The Chiral de Rham Complex, continued
Wednesday, February 27, 2002
Richard Crew, The Chiral de Rham Complex, continued
Wednesday, March 13, 2002
Richard Crew, The Chiral de Rham Complex, continued
Wednesday, March 20, 2002, 2 pm, NPB 2165
Detlev Bucholz, Theoretical Physics, Gottingen, Asymptotic dynamics of thermal quantum fields
Wednesday, March 20, 2002, Vertex Algebra Seminar, Lit 368
Yuli Rudyak, Introduction to Cobordism
Wednesday, March 27, 2002 , 8th period, NPB 2165
IFT Interdisciplinary Colloquim
Gerard Emch, Why would a Mathematician write a Physics monograph with a Philosopher ?
Wednesday, April 3, 2002, Vertex Algebra Seminar
Yuli Rudyak, Cobordism and Genera
Prof. Gert Roepstorff, Aachen, in NPB 2156, IFT Distinguished Lecturer

Monday, April 8, 2002, 2 pm, The Standard Model from a group theory point of view. The Grand Unification Concept.

Wednesday, April 10, 2002, 2 pm, General techniques to avoid anomalies in chiral models

Friday, April 12,2002, 2 pm, Methods from differential geometry: Quillen's concept of superconnections. The origin of the CKM matrix.
Wendesday, April 10, 2002, Vertex Algebra Seminar
Yuli Rudyak, Elliptic Genera

Differential Geometry/Mathematical Physics Seminar for 2000 - 2001

We will normally meet at our traditional time on Wednesdays during 9th period. When meeting in Little Hall, we will meet in Room 368. Some our our meetings will include participation in a new IFT interdisciplinary series of lectures, in which case we will be meeting in New Physics at 9th period on Wednesdays.

The speakers scheduled are as follows:

September 20, 2000
David Metzler
Recursive Formulas for Topological Invariants of Symplectic Quotients
September 27, 2000 , New Physics Building 2165
Remarks by Director Ramond, and IFT "Get Together" reception, 5pm - 6 pm
October 4, 2000
Irene Hueter
Can Contact Processes Feel the Geometry of a Graph ?

Abstract -- We will describe the contact process, an example for an attractive interacting particle system, which is closely related to percolation and exhibits phase transitions. We will explain recent results that show in which sense its phases are sensitive to the geometry of an infinite (locally finite) graph. We will see how weak (global but not local) survival may be established on homogeneous trees and discuss the growth in space-time as well as the distribution of the limit points of the contact process. Furthermore, we will briefly compare the behaviour of the contact process versus the one of the percolation process on other graphs and mention some open problems.
October 18, 2000, New Physics Building 2165
John Klauder, in the IFT Colloquim Series
Continuous and Discontinuous Perturbations

Abstract - Some perturbations are weak enough that their effects totally disappear when they are turned off, while others are strong enough that they leave an indelible imprint after they are turned off. In more concrete terms, if A and B are two expressions, then the limit of the sum A + g B as g goes to zero can either become A (a continuous perturbation) or can become A' which is different than A (a discontinuous perturbation). Straightforward and understandable examples of such general phenomena will be presented in simple quantum mechanics problems (i.e., ordinary differential equations and distorted Brownian motion) as well as in model field theories (i.e., Gaussian and Poisson functional integrals).
November 1, 2000
Achim Kempf
Inflation and Hilbert's Hotel
Elliot Leeb, Princeton University -- a program of two lectures --
Applied Mathematics Seminar, Tuesday, January 16, 2001
Little Hall Atrium
The Quantum Mechanical World View : A Remarkably Successful but Still Incomplete World View
IFT Colloquim, Wednesday, January 17, 2001, NPB 2156
The Bose Gas : A Subtle Many Body Problem
February 28, 2001 -- New Physics Building 2165
Alan Dorsey
Stripes, bubbles and solitons in two dimensional electron systems
March 14, 2001
Karl Henning Rehren, Gottingen
Solutions to a moment problem with discrete specturm
April 18, 2001 -- New Physics 2165
Pierre Ramond
Neutrinos, Testing the Fabric of the Universe
April 25, 2001 starting at 4:15 pm
Maria Kutuzova
Soliton Equations with Wakimoto Modules Symmetries

Abstract: New hierarchies of integrable soliton equations with sl₂ Wakimoto Modules symmetries are given. The construction of these hierarchies is based on the intertwining operators approach. The equations are explicitly presented in the Hirota bilinear form and a system of restricting linear differential equations on tau-functions. The latter can be interpreted as an extra reduction for the Hirota bilinear equations. For a level $k\in\Z$, $k\ne 0,-2$, the $N$-soliton solutions of these hierarchies are constructed by means of the free field representation for $\hat{sl_2}$ WZW model.

Differential Geometry/Mathematical Physics Seminar for 1999-2000

We will normally meet on Wednesdays during 9th period -- in Little 368 during the spring semester.

The speakers scheduled are as follows:

September 22, 1999
Paul Robinson
Shale Theorems for Fock Representations of Krein Spaces
October 6, 1999
Bernhard Bodman
A Transformation Formula Relating Resolvents of Certain Berezin- Toeplitz Operators

Abstract -- Using a stochastic representation provided by Wiener-regularized path integrals for the semigroups generated by certain Berezin-Toeplitz operators, a transformation formula for their resolvents is derived. The essence of the transformation in the stochastic representation is that, up to a time change, Brownian motion is invariant under conformal mappings.
October 20, 1999
John Klauder
A Fresh Look at Quantum Gravity
November 3, 1999
Achim Kempf
Boundary Hilbert Spaces and Constraints
November 17, 1999
Gerard Emch
Pictures from an exhibition: the Dog-Flea model
November 22, 1999, as Mathematics Colloquim
Sergei Shabanov
Knot Solitons and their Applications
December 1, 1999, as a Mathematics Colloquim
David Ruelle, I.H.E.S.
Mathematical Platonism Reconsidered

This lecture is part of a series of three lectures being given by Prof. Ruelle during this week. The other two are --

4:05 Tuesday, November 30, 1999 -- New Physics 2165
Smooth Dynamics and New Theoretical Ideas in Nonequilibrium Statistical Mechanics

2:00 pm, Thursday, December 2, 1999 -- Little 368 --
Locating Zeros of Graph-counting Polynomials
TUESDAY, December 14, 1999
Wayne Lawton, Singapore University
Non-radial basis function methods for sparse data interpolation

Abstract-- We derive approximation theoretic properties of minimal-norm interpolation of functions subject to continuous linear constraints and discuss applications to sparse data and tomographic interpolation using reproducing kernel Hilbert spaces that admit orthogonal wavelet bases that would include frame-based interpolation as well as orthogonal wavelet bases and also minimal-norm interpolation in uniformly convex Banach space (e.g., Sobolov 1 < p < 2) as well as in Hilbert spaces.
January 12, 2000
Hendrik Grunding, University of New South Wales, Sydney, Australia
Local Quantum Constraints
FRIDAY, January 28, 2000 as Departmental Colloquim in the Atrium
Wei-Dong Ruan, Columbia University
Lagrangian torus fibrations of Calabi-Yau hypersurfaces in toric varieties and mirror symmetry
FRIDAY, February 4, 2000, as Departmental Colloquim in the Atrium
David Metzler, Rice University
Localization for Manifolds with Boundary
FRIDAY, February 11, 2000, as Departmental Colloquim in the Atrium
Lei Ni, Purdue University
March 15, 2000
Brian Hall, Dept. of Mathematics, Notre Dame
Coherent States and Reduction

Abstract: I will start by describing the coherent states on Rⁿ which are Gaussian wave packets. I will then describe generalized coherent states on compact Lie groups, in which the Gaussians are replaced by their natural geometrical analogs: heat kernels. Finally, I will discuss how these generalized coherent states can be obtained from the infinite-dimensional version of the ordinary Gaussian coherent states, by means of "reduction." The reduction is related to the quantization of Yang-Mills theory.
March 22, 2000
Klaus Bering, IFT and UF Physics
Family of Boundary Poisson Brackets
April 12, 2000
Daniel Quillen, Oxford University
Orthogonal Polynomials on the Circle and Discrete Wave Equations
April 19 and 26, 2000
David Groisser
Shape Spaces and Procrustes Metrics I and II

Differential Geometry/Mathematical Physics Seminar for 1998 - 1999

September 16, 1998
Klaus Bering, IFT and UF Physics
Putting an Edge to the Poisson Bracket
September 23, 1998
Paul Ehrlich
Curvature Rigidity and Geodesic Incompleteness for Space-times
October 7, 1998
Achim Kempf, IFT and UF Physics
Which short-distance structure can be described by linear operators ?
October 28, 1998
John Klauder
Nonrenormalizability and Nontrivilality
November 4, 1998
Alex Dranishnikov
Dimension theory and large Riemannian manifolds
November 9, 1998
Gerald Kaiser (The Virginia Center for Signals and Waves)
Wavelets for Fun and Profit
MONDAY, December 14, 1998 in LITTLE 368
Sergei Shabanov
Coordinate-free path integrals for constrained systems

Note: as of this typing on January 7th, we are meeting this spring semester, 1999, in Little 207, a room change, on Wednesdays during 9th period. I have class myself 8th period, now in McCarthy Hall, so don't expect me to get there early for introductions, etc.
January 13, 1999
Paul Ehrlich
A differential geometric derivation of the big bang cosmological models
February 3, 1999
John Klauder
Quantization with Constraints for Nonspecialists
February 10, 1999
Khandker Muttalib , UF Physics
Random matrices, q-polynomials, and fractal dimension
February 17, 1999
Pan Feng, Dept. of Physics and Astronomy, Lousiana State University
Exact solutions for a class of quantum many-body problems

Abstract: A class of quantum many body problems, which are related to the nuclear pairing with mean field plus general pairing interactions and quantum spin chains beyond nearest neighbor interaction, and many other physical problems are studied by using the Bethe ansatz wave function, which is expanded in terms of generators of the corresponding infinite dimensional algebra. Exact solutions for the excitation energies and the corresponding eigenstates of these Hamiltonians can be derived through the Bethe ansatz equations. Applications to the nuclear pairing, quantum asymmetric rotor, coupled rotor systems, the Lipkin model are shown as examples.
February 24, 1999
Shlomo Sternberg, Harvard University
Introduction to Kostant's Dirac operator II
March 10, 1999
Prof. Hajo Leschke, University of Erlangen-Nurnberg
Anderson localization and spectral theory of random Schroedinger operators after more than 40 years
March 17, 1999
Ettore Aldrovandi
Quasi-conformal maps and higher algebraic structures from string theory
March 24, 1999
Maria Golenishcheva-Kutuzova (Moscow)
Intertwining Operators and Soliton Equations
March 31, 1999 -- as a departmental colloquim in LITTLE 339
Prof. Ingrid Daubechies, Princeton University
Quantising redundant representations
Friday, April 2, 1999 in LITTLE 421
Detlev Buchholz (Gottingen)
Vacuum States on de Sitter Space
April 7, 1999
Leopold Halperin, Dept. of Physics, FSU