GRAPHS AND PATTERNS
in Mathematics and Theoretical Physics

A conference to celebrate Dennis Sullivan's 60th birthday


Department of Mathematics and Institute for Mathematical Sciences
Stony Brook, New York

June 14-21, 2001

Schedule of Events

All lectures will be held in Room 001 of the Earth and Space Sciences Building. Refreshments and all evening sessions will take place in S-240 of the Mathematics Building.

Thursday June 14

06:30 - 09:00. Wine & Cheese reception party (in room S-240 of the Mathematics Building)


Friday June 15

09:00 - 09:10. Welcoming words by John W. Milnor, Director of the Institute for Mathematical Sciences,
and Robert C. Liebermann, Interim Dean of the College of Arts and Sciences

09:10 - 10:10. Peter van Nieuwenhuizen (SUNY at Stony Brook)
Minicourse: An Introduction to Supersymmetry, Supergravity, and Superspace for Mathematicians, Lecture I

10:30 - 11:30. John Hubbard (Cornell University)
Minicourse: Bifurcation Patterns in Dynamical Systems, Lecture I

01:30 - 02:30. Boris Tsygan (Penn State University)
Non-commutative Differential Calculus and Applications

02:45 - 03:45. Robin Forman (Rice University)
The Differential Topology of Combinatorial Spaces

04:15 - 05:15. Alexander Voronov (Michigan State University)
Minicourse: Universal Algebra, Lecture I

07:30 - 09:30. Evening session:
Dessins d'enfant and Hubbard trees, by Kevin Pilgrim (University of Missouri)
Artin presentations: a rigorous string theory, by Horst Winkelnkemper (University of Maryland)
Combinatorial presentation of modular functors, by Alexander Kirillov Jr (SUNY at Stony Brook)
Quantum Teichmüller space description using graphs, by Leonid Chekhov (Steklov Mathematics Institute)


Saturday June 16

09:00 - 10:00. Peter van Nieuwenhuizen (SUNY at Stony Brook)
Minicourse: An Introduction to Supersymmetry, Supergravity, and Superspace for Mathematicians, Lecture II

10:30 - 11:30. John Hubbard (Cornell University)
Minicourse: Bifurcation Patterns in Dynamical Systems, Lecture II

01:30 - 02:30. Curtis McMullen (Harvard University)
Dynamics on K3 Surfaces

02:45 - 03:45. Kenji Fukaya (RIMS, Kyoto)
WKB Analysis, Multivalued Morse theory, and Collapsing Calabi-Yau Manifolds

04:15 - 05:15. Alexander Voronov (Michigan State University)
Minicourse: Universal Algebra, Lecture II

07:00 - ---- Party hosted by Jim and Marilyn Simons


Sunday June 17

09:00 - 10:00. Peter van Nieuwenhuizen (SUNY at Stony Brook)
Minicourse: An Introduction to Supersymmetry, Supergravity, and Superspace for Mathematicians, Lecture III

10:30 - 11:30. John Hubbard (Cornell University)
Minicourse: Bifurcation Patterns in Dynamical Systems, Lecture III

01:30 - 02:30. Dennis Sullivan (SUNY at Stony Brook & CUNY)
Strings, Graphs, Riemann Surfaces

02:45 - 03:45. Misha Polyak (University of Tel Aviv)
Minicourse: Quantum Field Theory and Topology, Lecture I

04:15 - 05:15. André de Carvalho (SUNY at Stony Brook)
Graphs and Patterns in 2-dimensional Dynamics

07:30 - 09:30. Evening session:
Six vertex model with domain wall boundary conditions, by Vladimir Korepin (SUNY at Stony Brook)
Infinite inner products on infinite associative algebras, by Thomas Tradler (CUNY Graduate Center)
TQFT's and cohomology of knot spaces in any dimension, by Riccardo Longoni (SUNY at Stony Brook)
On the homology of the spaces of long knots, by Victor Tourchine (Independent University of Moscow)


Monday June 18

09:00 - 10:00. Peter van Nieuwenhuizen (SUNY at Stony Brook)
Minicourse: An Introduction to Supersymmetry, Supergravity, and Superspace for Mathematicians, Lecture IV

10:15 - 11:15. John Hubbard (Cornell University)
Minicourse: Bifurcation Patterns in Dynamical Systems, Lecture IV

11:30 - 12:30. John Baez (UC at Riverside)
Minicourse: Discrete Riemannian Geometry and Gauge Theory, Lecture I

01:00 - 06:00. Picnic (with swimming)


Tuesday June 19

09:00 - 10:00. Misha Polyak (University of Tel Aviv)
Minicourse: Quantum Field Theory and Topology, Lecture II

10:30 - 11:30. John Baez (UC at Riverside)
Minicourse: Discrete Riemannian Geometry and Gauge Theory, Lecture II

01:30 - 02:30. Yair Minsky (SUNY at Stony Brook)
Curves, Surfaces, 3-manifolds and Hyperbolic Geometry

02:45 - 03:45. Dylan Thurston (Harvard University)
Trivalent Graphs in 3-dimensional Topology

04:15 - 05:15. Alexander Voronov (Michigan State University)
Minicourse: Universal Algebra, Lecture III

07:30 - 09:30. Evening session:
Lie algebras of trees, complexes of graphs, and automorphisms of free groups, by Karen Vogtmann (Cornell University)
Higher order topology, by Nils Baas (Norwegian University)
Topological viewpoint on Chas-Sullivan's string topology, by Ralph Cohen (Stanford University)
Invariants of boundary links , by Stavros Garoufalidis (Georgia Institut e of Technology)
Solenoid functions and train-tracks in hyperbolic dynamics, by Alberto Pinto (Universidade do Porto)


Wednesday June 20

09:00 - 10:00. Misha Polyak (University of Tel Aviv)
Minicourse: Quantum Field Theory and Topology, Lecture III

10:30 - 11:30. John Baez (UC at Riverside)
Minicourse: Discrete Riemannian Geometry and Gauge Theory, Lecture III

01:30 - 02:30. Nikolai Reshetikhin (UC at Berkeley)
Invariants of Links in S3 with a G-flat Connection in the Complement

02:45 - 03:45. Dirk Kreimer (Clay Mathematics Institute and IHES)
Structure in Feynman graphs-Hopf algebras and Symmetries

04:15 - 05:15. Alexander Voronov (Michigan State University)
Minicourse: Universal Algebra, Lecture IV

06:00 - 10:30. Banquet (to celebrate Dennis' birthday)


Thursday June 21

09:00 - 10:00. Misha Polyak (University of Tel Aviv)
Minicourse: Quantum Field Theory and Topology, Lecture IV

10:30 - 11:30. John Baez (UC at Riverside)
Minicourse: Discrete Riemannian Geometry and Gauge Theory, Lecture IV

01:30 - 02:30. Abhay Ashtekar (CGGP Penn State University)
Quantum Geometry in Action: Black Holes and Big Bang


Persons requiring disability accommodations should email patterns@math.sunysb.edu. The State University of New York at Stony Brook is an affirmative action/equal employment opportunity educator and employer.