Organized by: Anton Alexeev and Samson Shatashvili
The proposed program will touch upon two topics in Mathematics: Poisson geometry of moduli spaces and the theory of associators, and some of the mathematical aspects of quantum field theory. Both the moduli space theory and the associator theory are intimately related to quantum field theory. In particular, the associator theory describes the choices of deformation quantization which are given by the Feynamn graphical calculus (pioneered by Kontsevich). Another interaction point with quantum field theory is appearance of multiple zeta-values in the theory of sting amplitudes. The workshop will provide a platform for interaction of researchers working in several fields of Mathematics and Mathematical Physics working on different facets of this fascinating theme.
Program Talk Schedule
All programs talks are scheduled to last 2 hours, unless otherwise noted below: More information and talk abstracts can be found here: scgp.stonybrook.edu/this-week
| Date | Time | Title | Speaker | Location |
| Wed. May 2nd | 10:00AM – 12:00PM | Transversal Interactions of String Topology as an Algebraic Receptacle for Symplectic Topology | Dennis Sullivan | SCGP 313 |
| Wed. May 2nd | 2:00PM – 4:00PM | “Some remarks on symplectic forms (in physics and mathematics)” | Leon Takhtajan | SCGP 102 |
| Thurs. May 3rd | 10:00AM – 12:00PM | An enumerative approach to the P=W conjecture for the moduli of Higgs bundles | Andras Szenes | SCGP 313 |
| Fri. May 4th | 10:00 AM – 12:00PM | Higher groups in higher gauge theory | Chenchang Zhu | SCGP 313 |
| Fri. May 4th | 2:00 PM – 4:00PM | Double brackets in topology of manifolds | Vladimir Turaev | SCGP 313 |
| Date | Time | Title | Speaker | Location |
| Mon. May 7th | 10:00AM – 12:00PM | A Betti counterpart of the harmonic coproduct (I) | Hidekazu Furusho | SCGP 102 |
| Mon. May 7th | 2:00PM – 4:00PM | A Betti counterpart of the harmonic coproduct (II) | Benjamin Enriquez | SCGP 102 |
| Tues. May 8th | 9:30AM – 11:30AM | A Tannakian interpretation of the elliptic infinitesimal braid Lie algebras | Pavel Etingof | SCGP 102 |
| Tues. May 8th | 1:00PM – 2:00PM | Computation without Representation Part 1. Visit www.math.toronto.edu/~drorbn/Talks/StonyBrook-1805/ for more information | Dror Bar-Natan | SCGP 102 |
| Wed. May 9th | 10:30AM – 11:30PM | Points on a Circle: from Pappus to Thurston | John Milnor | SCGP 102 |
| Wed. May 9th | 2:00PM – 4:00PM | Curves on surfaces and three manifolds: string topology and other structures. | Moira Chas | SCGP 102 |
| Thurs. May 10th | 10:00 am – 12:00PM | Hodge theory and the Goldman-Turaev Lie bialgebra | Richard Hain | SCGP 102 |
| Thurs. May 10th | 1:30PM – 4:00PM | Elliptic versions of the Grothendieck-Teichmüller, double shuffle and Kashiwara-Vergne Lie algebras | Leila Schneps | SCGP 102 |
| Fri. May 11th | 10:00 am – 12:00 | Computation without Representation Part II. Visit www.math.toronto.edu/~drorbn/Talks/StonyBrook-1805/ for more information | Dror Bar – Natan | SCGP 102 |
| Date | Time | Title | Speaker | Location |
| Mon May 14th | 3:00PM – 4:00PM | Hodge theory and the Goldman-Turaev Lie bialgebra Part II | Richard Hain | SCGP 102 |
| Tues. May 15th | 10:00AM – 12:00PM | Renormalization, String topology, Perturbative Chern Simons and Pseudo holomorphic curve | Kenji Fukaya | SCGP 102 |
| Tues. May 15th | 1:00PM – 2:00PM | Hodge Correlators | Alexander Goncharov | SCGP 102 |
| Wed. May 16th | 11:00AM – 12:00PM | Cluster Algebras, Landau Singularities and Scattering Amplitudes | Anastasia Volovich | SCGP 313 |
| Wed. May 16th | 2:00PM – 4:00PM | Survey of Geometry in G_2 manifolds | Simon Donaldson | SCGP 102 |
| Thurs. May 17th | 10:00AM – 12:00PM | Quantum Hodge Field Theory | Alexander Goncharov | SCGP 102 |
| Date | Time | Title | Speaker | Location |
| Wed. June 13th | 10:00AM – 12:00PM | Moment Map, Generalized Horn Inequalities and Quivers | Michele Vergne | SCGP 102 |
| Wed. June 13th | 2:30PM – 3:30PM | Poisson Geometry, Crystals, and Integrable Systems | Benjamin Hoffman | SCGP 102 |
| Wed. June 13th | 4:00PM – 5:00PM | Poisson-Lie Dual and Langlands Dual via Cluster Theory and Tropicalization | Yanpeng Li | SCGP 102 |
| Thurs. June 14th | 10:00AM – 12:00PM | The generalization of the Goldman bracket to Three dimensions and its relation to Geometrization. See Abstract here | Mini course by Moira Chas: Part 1 by Dennis Sullivan | SCGP 313 |
| Thurs. June 14th | 1:30PM – 3:30PM | Prop of ribbon hypergraphs and strongly homotopy involutive Lie bialgebras | Serguei Merkulov | SCGP 313 |
| Fri. June 15th | 10:00AM – 12:00PM | Computer driven questions, pre-theorems and theorems in geometry. See Abstract here | Mini course by Moira Chas | SCGP 313 |
| Date | Time | Title | Speaker | Location |
| Mon. June 18th | 10:00AM – 12:00PM | Algebra and Geometry of String Topology | Mini course by Dennis Sullivan | SCGP 102 |
| Mon. June 18th | 1:30PM – 3:30PM | Turaev’s loop operations on surfaces and their formal descriptions | Gwenael Massuyeau | SCGP 102 |
| Tues. June 19th | 10:00AM – 12:00PM | Formal description of the Goldman bracket, revisited | Nariya Kawazumi | SCGP 102 |
| Tues. June 19th | 1:30PM – 3:30PM | Formality of the Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem | Yusuke Kuno | SCGP 102 |
| Wed. June 20th | 10:00AM – 12:00PM | From the algebra of symplectic derivations to cohomology of automorphism groups of free groups | Martin Kassabov | SCGP 102 |
| Wed. June 20th | 1:30PM – 3:30PM | On a moduli space interpretation of the Turaev cobracket | Florian Naef | SCGP 102 |
| Thurs. June 21st | 10:00AM – 12:00PM | Algebra and Geometry of String Topology | Mini course by Dennis Sullivan | SCGP 102 |
| Date | Time | Title | Speaker | Location |
| Tues. June 26th | 10:00AM – 12:00PM | Integrable clusters | Arkady Berenstein | SCGP 102 |
| Tues. June 26th | 1:30PM – 3:30PM | Homotopy algebras in string field theory | Ivo Sachs | SCGP102 |
| Wed. June 27th | 10:00AM – 11:00AM | Higher genus Grothendieck-Teichmüller Lie algebras | Matteo Felder | SCGP102 |
| Wed. June 27th | 11:30AM – 12:30PM | On elliptic versions of the Kashiwara-Vergne Lie algebra and mould theory | Elise Raphael | SCGP102 |
| Wed. June 27th | 2:00PM – 4:00PM | Holonomic Poisson manifolds and deformations of elliptic algebras | Travis Schedler | SCGP 102 |